From 65623c2f3e3c478a1b0938091a03556432422314 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 18:48:12 +1000 Subject: [PATCH 01/60] Add the split-node fault primitive: a labelled facet chain becomes a genuine discontinuity split_along_label grows the point chart the way rebuild_without_vertices compacts it: replica vertices for the chain interior, doubled fault facets (Plus keeps the originals' labels, Minus clones them via the clone map), cells kept in source order, edges re-derived so plus-side facets survive with their labels, coordinates repeated, and the star-forest renumbered by the same single broadcast. Tips stay unsplit, so a slip datum tapers to zero there. split_fault wraps the result as a standalone Mesh (no MG tail: the coarse levels do not carry the fault, so an essential condition there would leave the custom-P coarse operator singular) and records the Minus->Plus point pairing that any interface condition needs -- the sides are geometrically coincident, so no coordinate query can ever recover it. Refused loudly rather than mishandled: junctions, loops, single-facet chains, boundary-touching faults, and any fault whose cell fans touch the partition seam. The seam verdict outranks the chain-fragment symptoms each rank sees locally and is allgathered so every rank raises together. Serial tests: exact chart arithmetic (Euler characteristic 1 -> 0), conserved geometry with per-cell data alignment, DOF independence proven through a solve, label pairing into UW_Boundaries, five refusals, and re-application at a second fault position from the same base (the fault moves). Parallel (np=2/3): a rank-interior fault splits with zero star-forest coordinate drift; a seam-crossing fault is refused on every rank. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_split.py | 593 ++++++++++++++++++ .../ptest_0845_fault_split_parallel.py | 183 ++++++ tests/test_0845_fault_split.py | 326 ++++++++++ 3 files changed, 1102 insertions(+) create mode 100644 src/underworld3/utilities/fault_split.py create mode 100644 tests/parallel/ptest_0845_fault_split_parallel.py create mode 100644 tests/test_0845_fault_split.py diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py new file mode 100644 index 00000000..dc9d6f84 --- /dev/null +++ b/src/underworld3/utilities/fault_split.py @@ -0,0 +1,593 @@ +r"""Split-node faults: a labelled facet chain becomes a genuine discontinuity. + +A conforming surface (:meth:`Mesh.add_conforming_surface`) leaves the fault as +a chain of interior facets that the two flanking cells *share*, so every +continuous finite-element space is continuous across it. Splitting the nodes +removes that: each interior vertex of the chain is duplicated, the cells on one +side are rewired to the replicas, and the fault facets themselves are doubled — +two geometrically coincident copies with no degrees of freedom in common. A +velocity (or any) field can then jump across the fault, which is what a fault +*is*: slip, not strain. The tips are never duplicated, so the field stays +continuous there and a slip datum must taper to zero at the tips. + +The two sides become named boundaries — ``Plus`` and ``Minus`` — +so an ordinary essential condition prescribes slip:: + + child = split_fault(mesh, "Fault") + stokes.add_dirichlet_bc(v_bg + s/2 * taper * tangent, "FaultPlus") + stokes.add_dirichlet_bc(v_bg - s/2 * taper * tangent, "FaultMinus") + +``Plus`` is the LEFT side walking the chain from its first tip to its second, +where the first tip is the one lower in coordinate order: with tangent +:math:`\hat t` along the walk, the normal :math:`\hat n = (-t_y, t_x)` points +into the Plus side. The original label survives on BOTH copies, so it remains +the whole-fault handle for visualisation and for the repair passes' +interface protection. + +The split is a pure function of the source DM — nothing is cached, the source +is not modified — because a fault MOVES: re-splitting after migration is +re-cutting the (static) base mesh at the new position and calling this again, +the same non-cumulative pattern as :meth:`Mesh.adapt`. + +Built on the rebuild machinery of :mod:`underworld3.utilities.reconnect`: +the same fresh-plex construction (`DMPlexSymmetrize` refuses surgery in +place), the same derived-edge rule (an old facet is reused wherever its vertex +pair is still wanted, which is what carries its labels), and the same +one-broadcast star-forest renumbering. Where the deletion pass compacts the +point chart, the split grows it. + +Restrictions in this version, all refused loudly rather than mishandled: +2-D only; a single open chain (no junctions, no loops, no single-facet +chains); the fault must not touch the domain boundary; and in parallel the +fault's cell fans must not touch the partition seam — the replicas are then +rank-local and the star-forest carries over by renumbering alone, exactly as +the deletion pass argues for its own seam freeze. + +An essential condition on the fault is NOT sound under the custom-P geometric +multigrid hierarchy (the coarse levels do not carry the fault — see the +warning on :meth:`Mesh.add_conforming_surface`), so the split mesh is built +standalone, with no coarse tail: the Stokes velocity block then takes its +algebraic-multigrid default. +""" + +import numpy as np +from petsc4py import PETSc + +import underworld3 as uw +from underworld3.utilities.reconnect import ( + _TOPOLOGY_LABELS, _cell_vertices_and_seam, _coords, _copy_labels, + _rebuild_point_sf, _shared_points, _write_coordinates) + + +def _fault_chain(dm, fault_edges, X, vS): + """The fault as an ordered vertex path, tip to tip. + + Returns ``(problem, chain)`` where ``problem`` is ``None`` or an + ``(ExceptionClass, message)`` pair and ``chain`` lists the fault vertices + in walk order, starting from the tip lower in coordinate order so the walk + — and with it the Plus/Minus sides — is a function of the geometry, not of + label-stratum order. + """ + eS, eE = dm.getDepthStratum(1) + + nbr = {} + for e in fault_edges: + a, b = (int(p) for p in dm.getCone(e)) + nbr.setdefault(a, []).append(b) + nbr.setdefault(b, []).append(a) + + if len(fault_edges) < 2: + return (ValueError, + "fault_split: the chain has a single facet, so no interior " + "vertex exists to split. A one-facet fault cannot slip."), None + if any(len(ns) > 2 for ns in nbr.values()): + return (ValueError, + "fault_split: the label meets itself at a junction. Junctions " + "need a side assignment this version does not define; split " + "each branch under its own label instead."), None + tips = [v for v, ns in nbr.items() if len(ns) == 1] + if len(tips) != 2: + return (ValueError, + "fault_split: the labelled facets form a closed loop or " + "several fragments, not a single open chain."), None + + # The fault must be strictly interior. An edge with a single support cell + # is a domain-boundary facet; one in the star of any fault vertex means the + # slit would reach the boundary, where the tip-clamping argument fails. + for v in nbr: + star = dm.getTransitiveClosure(v, useCone=False)[0] + for p in star: + p = int(p) + if eS <= p < eE and len(dm.getSupport(p)) != 2: + return (ValueError, + "fault_split: the fault touches the domain boundary. " + "Only strictly interior faults, with both tips inside " + "the mesh, are supported in this version."), None + + start = min(tips, key=lambda t: (float(X[t - vS][0]), + float(X[t - vS][1]), t)) + chain, prev, cur = [start], None, start + while True: + onward = [w for w in nbr[cur] if w != prev] + if not onward: + break + prev, cur = cur, onward[0] + chain.append(cur) + if len(chain) > len(nbr): + return (ValueError, + "fault_split: the chain walk did not terminate; the " + "labelled facets are not a simple path."), None + if len(chain) != len(nbr): + return (ValueError, + "fault_split: the labelled facets are not one connected " + "chain. Cut and split one polyline at a time."), None + return None, chain + + +def _take_sides(dm, chain, verts, cS, cE): + """Classify every fault-fan cell as Plus (+1) or Minus (-1). + + At each interior chain vertex the incident cells are walked as a fan, + using the directed link edge each anticlockwise cell triple contributes — + :func:`reconnect._link_ring` opened at the two fault facets. Walking from + the outgoing fault neighbour to the incoming one sweeps the cells on the + LEFT of the directed chain, which is the Plus side. Any structural anomaly + in the fan (a duplicated directed link edge, a walk that escapes or fails + to close) means the cell orientations are not consistent there, and is a + refusal rather than a guess: unlike a declined flip, a mis-sided cell + would silently weld the fault shut at one node. + + Returns ``(problem, side_of_cell, substitutions)`` where ``substitutions`` + maps a Minus cell to the set of chain vertices it must replace with + replicas. + """ + side_of_cell, substitutions = {}, {} + for i in range(1, len(chain) - 1): + v, before, after = chain[i], chain[i - 1], chain[i + 1] + fan = [int(p) for p in dm.getTransitiveClosure(v, useCone=False)[0] + if cS <= int(p) < cE] + step = {} + for c in fan: + tri = [int(t) for t in verts[c - cS]] + j = tri.index(v) + p, q = tri[(j + 1) % 3], tri[(j + 2) % 3] + if p in step: + return (ValueError, + "fault_split: two cells at a fault vertex claim the " + "same directed link edge — the fan is not a " + "consistently oriented manifold disc."), None, None + step[p] = (q, c) + + plus_arc, cur, guard = [], after, 0 + while cur != before: + if cur not in step or guard > len(step): + return (ValueError, + "fault_split: the fan walk at a fault vertex did not " + "reach the incoming fault facet — the fan is not a " + "manifold disc."), None, None + cur, c = step[cur] + plus_arc.append(c) + guard += 1 + minus_arc = [c for c in fan if c not in set(plus_arc)] + if not plus_arc or not minus_arc: + return (ValueError, + "fault_split: a fault vertex has all its cells on one " + "side, which cannot happen on a manifold interior " + "chain."), None, None + + for cells, side in ((plus_arc, 1), (minus_arc, -1)): + for c in cells: + if side_of_cell.setdefault(c, side) != side: + # A cell can meet the fault at two chain vertices and be + # walked onto opposite sides only when the chain kinks + # through it (a chord cell). No side assignment is right + # for such a cell, so it is refused, not resolved. + return (ValueError, + "fault_split: a cell meets the fault from both " + "sides (the chain kinks through it). Refine the " + "mesh near the kink and re-cut."), None, None + for c in minus_arc: + substitutions.setdefault(c, set()).add(v) + return None, side_of_cell, substitutions + + +def _clone_labels(new, dm, clone_map): + """Give each replica point its original's label values. + + :func:`reconnect._copy_labels` maps one source point to at most one new + point; a split maps the duplicated ones to TWO. The replica's values are + applied as a second pass over the same strata, filtered by nothing: + ``Null_Boundary`` and ``UW_Boundaries`` are rebuilt from scratch when a + ``Mesh`` is constructed on the result, so cloning them costs nothing, and + every other label on a duplicated point (the fault's own name above all) + is exactly what the replica must carry. + """ + if not clone_map: + return + twins = {} + for new_pt, old_pt in clone_map.items(): + twins.setdefault(old_pt, []).append(new_pt) + for i in range(dm.getNumLabels()): + name = dm.getLabelName(i) + if name in _TOPOLOGY_LABELS: + continue + source, target = dm.getLabel(name), new.getLabel(name) + values = source.getValueIS() + if values is None: + continue + for val in values.getIndices(): + points = source.getStratumIS(int(val)) + if points is None: + continue + for p in points.getIndices(): + for q in twins.get(int(p), ()): + target.setValue(q, int(val)) + + +def split_along_label(dm, name, value, plus_name, plus_value, + minus_name, minus_value, verbose=False): + """Duplicate the interior vertices of a labelled facet chain. + + Builds a fresh plex in which the cells on the Minus side of the chain are + rewired to replica vertices, so the two sides of the fault share no points + — and therefore no degrees of freedom in any FE space — except the two + tips. The fault facets are doubled: the originals keep every label they + carried and gain ``plus_name``; the replicas clone the originals' labels + and gain ``minus_name``. + + COLLECTIVE. Every rank must call this, including ranks holding no part of + the fault (they rebuild their local chart unchanged); a refusal raises the + same error on every rank. + + Parameters + ---------- + dm : PETSc.DMPlex + Source mesh, 2-D simplex. Not modified. + name : str + Label holding the fault facets. + value : int + The label value marking them. + plus_name, plus_value : str, int + Label minted on the original (Plus-side) fault facets. + minus_name, minus_value : str, int + Label minted on the replica (Minus-side) fault facets. + + Returns + ------- + new : PETSc.DMPlex + The split mesh. Cells keep their source order, so per-cell data + remains aligned. + point_map : numpy.ndarray + Chart-indexed source point -> new point. ``-1`` marks the Minus-side + facets that were re-homed onto replicas (their replacements appear in + ``clone_map`` instead). + clone_map : dict + ``{new point: source point}`` for every replica vertex and every + re-homed facet — the provenance a field transfer needs. + """ + if dm.getDimension() != 2: + raise NotImplementedError( + "fault_split handles 2-D meshes; in 3-D the fault is not yet a " + "conforming facet chain to begin with.") + + pStart, pEnd = dm.getChart() + cS, cE = dm.getHeightStratum(0) + vS, vE = dm.getDepthStratum(0) + eS, eE = dm.getDepthStratum(1) + X = _coords(dm) + + fault_edges = [] + # hasLabel, not getLabel-against-None: petsc4py hands back a wrapper + # around a NULL label for a missing name, and the first stratum query on + # it aborts the process rather than raising. Likewise an empty stratum + # hands back a null IS that segfaults in getIndices() — a rank owning no + # part of the fault is the normal case in parallel. + if dm.hasLabel(name) and dm.getLabel(name).getStratumSize(int(value)) > 0: + stratum = dm.getLabel(name).getStratumIS(int(value)) + fault_edges = [int(p) for p in stratum.getIndices() + if eS <= int(p) < eE] + + problem, chain = (None, None) + if fault_edges: + problem, chain = _fault_chain(dm, fault_edges, X, vS) + + # COLLECTIVE, and reached on every rank whatever the local verdict so far: + # the seam flags and the cell triples are needed for the rebuild anyway, + # and computing them before any refusal keeps every rank in step. + shared = _shared_points(dm) + verts, frozen = _cell_vertices_and_seam(dm, X, shared) + + # The seam verdict is taken from the facet cones alone, independent of the + # chain checks, and OUTRANKS them: a fault crossing the seam presents to + # each rank as a broken chain, so the fragments are the symptom and the + # seam is the diagnosis. + if fault_edges: + fault_vertices = {int(p) for e in fault_edges for p in dm.getCone(e)} + for v in fault_vertices: + star = dm.getTransitiveClosure(v, useCone=False)[0] + if any(frozen[int(p) - cS] for p in star + if cS <= int(p) < cE): + problem = (RuntimeError, + "fault_split: the fault's cell fans touch the " + "partition seam. This version refuses to split " + "across ranks — repartition, or place the fault " + "inside one rank's subdomain.") + break + + side_of_cell, substitutions = {}, {} + if problem is None and fault_edges: + problem, side_of_cell, substitutions = _take_sides( + dm, chain, verts, cS, cE) + + fault_pair_edge = {} + for e in fault_edges: + a, b = (int(p) for p in dm.getCone(e)) + fault_pair_edge[(a, b) if a < b else (b, a)] = e + + if problem is None and fault_edges: + # Every fault facet must have been classified onto opposite sides by + # the fans of its endpoints; anything else is a mis-wiring that would + # otherwise only surface as a wrong stress field. + for e in fault_pair_edge.values(): + sides = sorted(side_of_cell.get(int(c), 0) + for c in dm.getSupport(e)) + if sides != [-1, 1]: + problem = (ValueError, + "fault_split: the two cells of a fault facet were " + "not classified onto opposite sides — the side " + "assignment is inconsistent along the chain.") + break + + # One synchronisation point for every refusal, so no rank raises while its + # peers continue into the collective rebuild below and block. + if uw.mpi.size > 1: + gathered = uw.mpi.comm.allgather((problem, len(fault_edges))) + problems = [p for p, _m in gathered if p is not None] + # Every rank raises the SAME error, and a seam verdict from any rank + # wins over the chain-fragment symptoms the other ranks report. + seam = [p for p in problems if p[0] is RuntimeError] + problem = seam[0] if seam else (problems[0] if problems else None) + if problem is None and sum(m for _p, m in gathered) == 0: + problem = (ValueError, + f"fault_split: no facets carry label {name!r} value " + f"{value} on any rank.") + elif problem is None and not fault_edges: + problem = (ValueError, + f"fault_split: no facets carry label {name!r} value " + f"{value}.") + if problem is not None: + exc, message = problem + raise exc(message) + + # ----------------------------------------------------------- the rebuild + # From here the shape follows reconnect.rebuild_without_vertices, with the + # chart grown instead of compacted: replicas are appended to the vertex + # stratum, and the edges are re-derived from the substituted cell list so + # that a facet is reused — labels intact — exactly where its vertex pair + # survived, and re-homed onto replicas where it did not. + interior = chain[1:-1] if chain else [] + replicas_of = {v: pEnd + i for i, v in enumerate(sorted(interior))} + original_of = {t: v for v, t in replicas_of.items()} + + cells = [] + for c in range(cS, cE): + tri = [int(t) for t in verts[c - cS]] + if c in substitutions: + tri = [replicas_of[t] if t in substitutions[c] else t for t in tri] + cells.append(tuple(tri)) + + wanted = set() + for a, b, c in cells: + wanted.update(((a, b) if a < b else (b, a), + (b, c) if b < c else (c, b), + (c, a) if c < a else (a, c))) + surv_e, pair_of, old_edge_of_pair = [], {}, {} + for e in range(eS, eE): + a, b = (int(p) for p in dm.getCone(e)) + pair = (a, b) if a < b else (b, a) + old_edge_of_pair[pair] = e + if pair in wanted: + surv_e.append(e) + pair_of[e] = pair + fresh = sorted(wanted - set(pair_of.values())) + edges = [pair_of[e] for e in surv_e] + fresh + + sizes = {"c": cE - cS, "v": (vE - vS) + len(interior), "e": len(edges)} + offset, at = {}, pStart + for _start, key in sorted(((cS, "c"), (vS, "v"), (eS, "e"))): + offset[key] = at + at += sizes[key] + + point_map = np.full(pEnd - pStart, -1, dtype=np.int64) + point_map[np.arange(cS, cE) - pStart] = offset["c"] + np.arange(cE - cS) + point_map[np.arange(vS, vE) - pStart] = offset["v"] + np.arange(vE - vS) + if surv_e: + point_map[np.asarray(surv_e, dtype=np.int64) - pStart] = ( + offset["e"] + np.arange(len(surv_e))) + + replica_new = {t: offset["v"] + (vE - vS) + i + for i, t in enumerate(sorted(original_of))} + + def v_new(x): + return replica_new[x] if x >= pEnd else int(point_map[x - pStart]) + + new = PETSc.DMPlex().create(comm=dm.comm) + new.setDimension(2) + new.setChart(pStart, at) + for i in range(sizes["c"]): + new.setConeSize(offset["c"] + i, 3) + for i in range(len(edges)): + new.setConeSize(offset["e"] + i, 2) + new.setUp() + + edge_of, first_of = {}, {} + for i, (a, b) in enumerate(edges): + e = offset["e"] + i + new.setCone(e, [v_new(a), v_new(b)]) + edge_of[(a, b)] = e + first_of[e] = a + + for i, (v0, v1, v2) in enumerate(cells): + cone, orientation = [], [] + for x, y in ((v0, v1), (v1, v2), (v2, v0)): + e = edge_of[(x, y) if x < y else (y, x)] + cone.append(e) + orientation.append(0 if first_of[e] == x else -1) + new.setCone(offset["c"] + i, cone) + new.setConeOrientation(offset["c"] + i, orientation) + + new.symmetrize() + new.stratify() + + source_rows = np.concatenate([ + np.arange(vE - vS, dtype=np.int64), + np.asarray(sorted(interior), dtype=np.int64) - vS]) \ + if interior else np.arange(vE - vS, dtype=np.int64) + _write_coordinates(new, dm, (offset["v"], offset["v"] + sizes["v"]), + source_rows) + + clone_map = {replica_new[t]: original_of[t] for t in original_of} + minus_copies = [] + for i, pair in enumerate(fresh): + e_new = offset["e"] + len(surv_e) + i + a, b = (original_of.get(p, p) for p in pair) + collapsed = (a, b) if a < b else (b, a) + e_old = old_edge_of_pair.get(collapsed) + if e_old is None: + # The split invents no connectivity: every fresh facet is an old + # one re-homed onto replicas. A missing source is a wiring bug. + raise RuntimeError( + "fault_split internal: a fresh facet has no source facet.") + clone_map[e_new] = e_old + if collapsed in fault_pair_edge: + minus_copies.append(e_new) + + _copy_labels(new, dm, point_map) + _clone_labels(new, dm, clone_map) + + new.createLabel(plus_name) + plus = new.getLabel(plus_name) + for e in fault_pair_edge.values(): + plus.setValue(int(point_map[e - pStart]), int(plus_value)) + new.createLabel(minus_name) + minus = new.getLabel(minus_name) + for e in minus_copies: + minus.setValue(int(e), int(minus_value)) + + if uw.mpi.size > 1: + _rebuild_point_sf(new, dm, point_map, at - pStart) + + if verbose and fault_edges: + uw.pprint(f"[fault_split {name!r}] duplicated {len(interior)} " + f"vertices along {len(fault_edges)} facets; sides are " + f"{plus_name!r} / {minus_name!r}") + return new, point_map, clone_map + + +def _boundaries_with_sides(mesh, name): + """The mesh's boundary enum extended with ``Plus`` / ``Minus``. + + The value-minting rule is :meth:`Mesh._boundaries_with`'s — first free + value past the largest ordinary boundary, stepped past anything taken so + the sentinels 666/1001 can never be landed on — applied twice, since that + method can only add one member per constructed mesh. + """ + from enum import Enum + + members = {b.name: b.value for b in mesh.boundaries} + if name not in members: + raise ValueError( + f"this mesh has no boundary called {name!r}; add the surface with " + "add_conforming_surface first, then split it.") + for side in (f"{name}Plus", f"{name}Minus"): + if side in members: + raise ValueError( + f"this mesh already has a boundary called {side!r}; the fault " + "appears to have been split already.") + taken = set(members.values()) + ordinary = [v for v in taken if v < 666] + candidate = (max(ordinary) + 1) if ordinary else 1 + while candidate in taken: + candidate += 1 + members[side] = candidate + return Enum("boundaries", members) + + +def split_fault(mesh, name, verbose=False): + """Split the nodes along the conforming surface ``name``; return the mesh. + + The result is a new, standalone :class:`Mesh` on which every continuous FE + space is discontinuous across the fault: the surface's facets are doubled + into boundaries ``Plus`` and ``Minus`` (coincident, no shared + DOFs except the two tips), and slip is prescribed with ordinary essential + conditions on those two names. A slip datum must taper to zero at the + tips, which stay single points shared by both sides. + + The source mesh is untouched, and the operation is re-applicable: when the + fault moves, re-cut the base mesh at the new position and split again — + the same non-cumulative pattern as :meth:`Mesh.adapt`. + + The split mesh carries NO geometric-multigrid tail. The coarse levels do + not carry the fault, so an essential condition on it would constrain zero + coarse DOFs and leave the custom-P coarse operator singular (see the + warning on :meth:`Mesh.add_conforming_surface`); solvers on this mesh get + their algebraic-multigrid defaults instead. + + Parameters + ---------- + mesh : Mesh + A mesh carrying the surface as a labelled facet chain — normally the + child returned by :meth:`Mesh.add_conforming_surface`. + name : str + The surface's boundary name. + verbose : bool, optional + Report what was duplicated. + + Returns + ------- + Mesh + The split mesh, with ``mesh`` recorded as its parent. + """ + from underworld3.discretisation import Mesh + + boundaries = _boundaries_with_sides(mesh, name) + plus_name, minus_name = f"{name}Plus", f"{name}Minus" + pStart, _pEnd = mesh.dm.getChart() + new_dm, point_map, clone_map = split_along_label( + mesh.dm, name, int(mesh.boundaries[name].value), + plus_name, int(boundaries[plus_name].value), + minus_name, int(boundaries[minus_name].value), + verbose=verbose) + + child = Mesh( + new_dm, + simplex=mesh.dm.isSimplex(), + coordinate_system_type=mesh.CoordinateSystem.coordinate_type, + qdegree=mesh.qdegree, + boundaries=boundaries, + verbose=False, + ) + child.parent = mesh + child._relationship_kind = "refinement" + # Replica vertices are coincident with their originals, so a coincidence- + # based injection would read one side of the jump for both — the transfer + # must stay geometric. + child._refine_dofs_coincide = False + child.regions = mesh.regions + child._parent_mesh_version = mesh._mesh_version + # The Minus->Plus point pairing in the SPLIT mesh's numbering, for every + # replica whose original SURVIVED — the duplicated vertices and the + # doubled fault facets (the P2 midpoint DOFs live on the latter). Fresh + # minus-side SPOKE facets are excluded: their originals were dropped + # (point_map -1), because a re-homed spoke is the same geometric edge + # renumbered, not a coincident copy. This dict is the ONLY source of the + # pairing — the sides are geometrically coincident, so no coordinate + # query can ever recover it — and it is what a fault interface condition + # (slip constraint, friction) pairs degrees of freedom with. + child._fault_point_pairs = getattr(mesh, "_fault_point_pairs", {}).copy() + child._fault_point_pairs[name] = { + int(q_minus): int(point_map[old_pt - pStart]) + for q_minus, old_pt in clone_map.items() + if point_map[old_pt - pStart] >= 0} + mesh._registered_children.add(child) + return child diff --git a/tests/parallel/ptest_0845_fault_split_parallel.py b/tests/parallel/ptest_0845_fault_split_parallel.py new file mode 100644 index 00000000..32b171cb --- /dev/null +++ b/tests/parallel/ptest_0845_fault_split_parallel.py @@ -0,0 +1,183 @@ +"""Split-node faults in parallel: rank-local replicas, collective refusals. + +Version-one contract: the split is legal only when the fault's cell fans stay +off the partition seam — the replicas are then rank-local, the star-forest +leaf set is unchanged, and the renumbering broadcast of +``reconnect._rebuild_point_sf`` carries it over. A fault that touches the +seam is REFUSED, with the same error on every rank; the failure mode being +excluded is one rank raising while its peers block in the next collective. + +What is asserted: + +* **outcomes agree across ranks**, whatever they are — the collectivity + contract itself; +* a fault interior to one rank splits cleanly, and the star-forest still + resolves every leaf to its own coordinates (`_sf_coordinate_drift`, the + check a mis-renumbered forest cannot pass while conformity, Euler and area + all stay rank-locally perfect); +* globally, the split adds exactly its replicas: the owned-point Euler + characteristic drops from 1 (disc) to 0 (slit disc) and the total area is + unchanged; +* a seam-crossing fault raises the seam refusal — not a chain-fragment + symptom — on EVERY rank. + +Run with: + mpirun -n 2 python -m pytest --with-mpi tests/parallel/ptest_0845_fault_split_parallel.py + mpirun -n 3 python -m pytest --with-mpi tests/parallel/ptest_0845_fault_split_parallel.py +""" +import numpy as np +import pytest +from mpi4py import MPI + +import underworld3 as uw +from underworld3.utilities.fault_split import split_along_label +from underworld3.utilities.line_cut import cut_along_lines, pull_vertex_onto + +pytestmark = [pytest.mark.mpi(min_size=2), pytest.mark.level_2, + pytest.mark.tier_b, pytest.mark.timeout(600)] + +# A short fault tucked into a corner: at modest rank counts the partitioner +# leaves its one-ring inside a single rank, which is the success path. If a +# partition does land the seam on it, the split refuses collectively and the +# success path is reported as skipped rather than silently untested. +CORNER = (np.array([0.08, 0.10]), np.array([0.24, 0.17])) +# Near-corner to near-corner: crosses any contiguous partition of the box. +SPANNING = (np.array([0.06, 0.08]), np.array([0.94, 0.92])) + +FAULT, VALUE, PLUS, MINUS = "Flt", 30, 31, 32 + + +def _cut(tips): + base = uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 16, + regular=False, qdegree=2) + dm = pull_vertex_onto(base.dm, np.vstack(tips)) + dm, _info = cut_along_lines(dm, [np.vstack(tips)], + label=FAULT, label_value=VALUE) + return dm + + +def _attempt(dm): + """The split's outcome on this rank: ("ok", result) or ("seam", None). + + Only the seam refusal is caught; any other error is a genuine failure and + propagates. + """ + try: + result = split_along_label(dm, FAULT, VALUE, + f"{FAULT}Plus", PLUS, + f"{FAULT}Minus", MINUS) + return "ok", result + except RuntimeError as err: + if "seam" not in str(err): + raise + return "seam", None + + +def _global(x, op=MPI.SUM): + return uw.mpi.comm.allreduce(x, op=op) + + +def _owned(dm, points): + try: + _nroots, ilocal, _iremote = dm.getPointSF().getGraph() + except (ValueError, TypeError): + ilocal = None + leaves = set() if ilocal is None else {int(p) for p in ilocal} + return [p for p in points if p not in leaves] + + +def _owned_euler(dm): + cS, cE = dm.getHeightStratum(0) + vS, vE = dm.getDepthStratum(0) + eS, eE = dm.getDepthStratum(1) + nc = len(_owned(dm, range(cS, cE))) + nv = len(_owned(dm, range(vS, vE))) + ne = len(_owned(dm, range(eS, eE))) + return _global(nv) - _global(ne) + _global(nc) + + +def _owned_area(dm): + cS, cE = dm.getHeightStratum(0) + return _global(sum(abs(dm.computeCellGeometryFVM(c)[0]) + for c in _owned(dm, range(cS, cE)))) + + +def _sf_coordinate_drift(dm): + """Broadcast every vertex's coordinates root-to-leaf; leaves must agree. + + Lifted from ``ptest_0844_reconnect_parallel``: the one check a + mis-renumbered star-forest cannot pass while every rank-local invariant + stays perfect. + """ + pStart, pEnd = dm.getChart() + vS, vE = dm.getDepthStratum(0) + X = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, 2) + sf = dm.getPointSF() + worst = 0.0 + for comp in range(2): + root = np.zeros(pEnd - pStart, dtype=np.float64) + root[vS - pStart: vE - pStart] = X[: vE - vS, comp] + leaf = np.full(pEnd - pStart, np.nan, dtype=np.float64) + sf.bcastBegin(MPI.DOUBLE, root, leaf, MPI.REPLACE) + sf.bcastEnd(MPI.DOUBLE, root, leaf, MPI.REPLACE) + seen = np.isfinite(leaf[vS - pStart: vE - pStart]) + if seen.any(): + worst = max(worst, float(np.abs( + leaf[vS - pStart: vE - pStart][seen] + - X[: vE - vS, comp][seen]).max())) + return _global(worst, op=MPI.MAX) + + +def test_a_rank_interior_fault_splits_cleanly(): + dm = _cut(CORNER) + assert _owned_euler(dm) == 1 + area = _owned_area(dm) + + outcome, result = _attempt(dm) + outcomes = uw.mpi.comm.allgather(outcome) + assert len(set(outcomes)) == 1, ( + f"rank {uw.mpi.rank}: outcomes {outcomes} disagree — the refusal is " + "not collective") + if outcomes[0] == "seam": + pytest.skip(f"the corner fault touches the seam at np={uw.mpi.size}; " + "the refusal contract is asserted separately") + + out, _point_map, _clone_map = result + assert _sf_coordinate_drift(out) == 0.0, ( + "a leaf no longer resolves to its own coordinates; the grown chart " + "was not propagated to the star-forest") + assert _owned_euler(out) == 0, "the slit did not open (or opened twice)" + assert _owned_area(out) == pytest.approx(area, rel=1e-12) + + fS, fE = out.getHeightStratum(1) + assert _global(sum(1 for f in range(fS, fE) + if len(out.getSupport(f)) > 2)) == 0 + + # The two sides carry the same number of facets, all one-sided. + counts = {} + for name, value in ((f"{FAULT}Plus", PLUS), (f"{FAULT}Minus", MINUS)): + # An empty stratum hands back a null IS that segfaults in + # getIndices(); a rank owning no part of the fault is the normal case. + facets = [] + if out.hasLabel(name) and out.getLabel(name).getStratumSize(value) > 0: + facets = [int(p) for p in + out.getLabel(name).getStratumIS(value).getIndices()] + assert all(len(out.getSupport(f)) == 1 for f in facets) + counts[name] = _global(len(_owned(out, facets))) + assert counts[f"{FAULT}Plus"] == counts[f"{FAULT}Minus"] > 0 + + uw.pprint(f"[ptest_0845] np={uw.mpi.size}: split " + f"{counts[f'{FAULT}Plus']} fault facets cleanly") + + +def test_a_seam_crossing_fault_is_refused_on_every_rank(): + dm = _cut(SPANNING) + outcome, _result = _attempt(dm) + outcomes = uw.mpi.comm.allgather(outcome) + assert len(set(outcomes)) == 1, ( + f"rank {uw.mpi.rank}: outcomes {outcomes} disagree — a rank that " + "raises alone leaves its peers blocked in the next collective") + assert outcomes[0] == "seam", ( + "a fault spanning the box did not touch the seam; the refusal " + "contract went untested") diff --git a/tests/test_0845_fault_split.py b/tests/test_0845_fault_split.py new file mode 100644 index 00000000..7986ae51 --- /dev/null +++ b/tests/test_0845_fault_split.py @@ -0,0 +1,326 @@ +"""Split-node faults (:mod:`underworld3.utilities.fault_split`). + +A conforming surface leaves the fault as facets the two flanking cells share; +the split duplicates the chain's interior vertices and rewires the Minus-side +cells to the replicas, so continuous FE spaces become discontinuous exactly +across the fault. What is asserted, and the defect each assertion targets: + +- **conformity and support counts** — every facet keeps at most two support + cells, and each of the doubled fault facets has exactly one, where it had + two before. A mis-wired arc shows up here first. +- **exact chart arithmetic** — a chain of m facets has k = m-1 interior + vertices, and the split adds exactly k vertices and m facets (each re-homed + Minus spoke replaces a dropped original one-for-one), taking the Euler + characteristic from 1 (disc) to 0 (slit disc = annulus). A missed or extra + duplication cannot pass this. +- **geometry conserved** — cell count and total area unchanged, all areas + positive, replica coordinates bit-identical to their originals. +- **DOF independence, the load-bearing one** — a Dirichlet value pinned on one + side of the fault must NOT appear on the coincident nodes of the other + side. If any degree of freedom were still shared, both sides would read the + pinned value and the fault would be welded shut at that node. +- **labels** — the two side labels have equal facet counts with pairwise + coincident endpoints; the original surface name survives on BOTH copies (it + remains the whole-fault handle); the constructed Mesh stacks both sides + into ``UW_Boundaries``, which is what the solver resolves names against. +- **refusals are refusals** — boundary-crossing chains, junctions, + single-facet chains, closed loops and double splits are rejected loudly. + Every one of these, mishandled silently, yields a mesh that looks plausible + and computes the wrong thing. +- **re-applicability** — the fault position is a design variable and moves + during a run, so splitting must be a pure function of the base mesh: + cutting and splitting the same base at two positions must give two valid, + independent children. + +The parallel seam refusal and the star-forest check are in +``tests/parallel/ptest_0845_fault_split_parallel.py``. +""" +import numpy as np +import pytest + +import underworld3 as uw +from underworld3.utilities.fault_split import split_along_label, split_fault +from underworld3.utilities.line_cut import (cell_areas, cut_along_lines, + pull_vertex_onto) +from underworld3.utilities.reconnect import _coords + +pytestmark = [pytest.mark.level_1, pytest.mark.tier_b] + +# An interior slanted segment: both tips inside the unit box, off any mesh +# symmetry line. Tips are pulled onto mesh vertices first, which is the +# supported way to terminate a cut inside the mesh. +TIP_A = np.array([0.31, 0.42]) +TIP_B = np.array([0.72, 0.61]) +FAULT = "Flt" +FAULT_VALUE = 30 + + +def _box(cell_size=1 / 16, qdegree=2): + return uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), + cellSize=cell_size, regular=False, qdegree=qdegree) + + +def _cut_dm(base_dm, tip_a=TIP_A, tip_b=TIP_B, name=FAULT, value=FAULT_VALUE): + dm = pull_vertex_onto(base_dm, np.vstack([tip_a, tip_b])) + dm, _info = cut_along_lines(dm, [np.vstack([tip_a, tip_b])], + label=name, label_value=value) + return dm + + +def _split(dm, name=FAULT, value=FAULT_VALUE): + return split_along_label(dm, name, value, + f"{name}Plus", 31, f"{name}Minus", 32) + + +def _strata_counts(dm): + cS, cE = dm.getHeightStratum(0) + vS, vE = dm.getDepthStratum(0) + eS, eE = dm.getDepthStratum(1) + return cE - cS, vE - vS, eE - eS + + +def _fault_facets(dm, name, value): + eS, eE = dm.getDepthStratum(1) + points = dm.getLabel(name).getStratumIS(value) + return [int(p) for p in points.getIndices() if eS <= int(p) < eE] + + +def test_split_doubles_the_fault_facets_and_nothing_else(): + base = _box() + dm = _cut_dm(base.dm) + m = len(_fault_facets(dm, FAULT, FAULT_VALUE)) + k = m - 1 + nc, nv, ne = _strata_counts(dm) + + out, point_map, clone_map = _split(dm) + nc2, nv2, ne2 = _strata_counts(out) + + assert (nc2, nv2, ne2) == (nc, nv + k, ne + m) + # Euler characteristic: disc (1) -> slit disc, i.e. annulus (0), + # independently of the chain length. + assert nv - ne + nc == 1 + assert nv2 - ne2 + nc2 == 0 + + # Conformity: no facet gained a third cell, and each of the doubled fault + # facets is now one-sided where its source was two-sided. + cS, cE = out.getHeightStratum(0) + for e in range(*out.getDepthStratum(1)): + assert len(out.getSupport(e)) <= 2 + for side in ("FltPlus", "FltMinus"): + facets = _fault_facets(out, side, {"FltPlus": 31, "FltMinus": 32}[side]) + assert len(facets) == m + for e in facets: + assert len(out.getSupport(e)) == 1 + + # The clone map records exactly the replicas: k vertices plus the re-homed + # Minus-side facets (m fault copies among them). + vS2, vE2 = out.getDepthStratum(0) + replica_vertices = [q for q in clone_map if vS2 <= q < vE2] + assert len(replica_vertices) == k + # point_map covers the whole source chart; only re-homed facets drop out. + eS, eE = dm.getDepthStratum(1) + dropped = np.flatnonzero(point_map < 0) + assert all(eS <= p < eE for p in dropped) + + +def test_geometry_is_conserved_and_replicas_are_coincident(): + base = _box() + dm = _cut_dm(base.dm) + areas = cell_areas(dm) + + out, _point_map, clone_map = _split(dm) + areas2 = cell_areas(out) + + assert (areas2 > 0).all() + assert np.isclose(areas2.sum(), areas.sum(), rtol=1e-13) + # Cells keep their source order, so per-cell data stays aligned. + assert np.allclose(areas2, areas) + + X_old, X_new = _coords(dm), _coords(out) + vS, _vE = dm.getDepthStratum(0) + vS2, vE2 = out.getDepthStratum(0) + for q, p in clone_map.items(): + if vS2 <= q < vE2: + assert (X_new[q - vS2] == X_old[p - vS]).all() + + +def test_the_two_sides_share_no_dofs(): + """The load-bearing property: a value pinned on Plus stays off Minus. + + Solved rather than merely assembled, so the assertion covers the whole + path a slip condition takes: label -> enum -> essential BC -> solution. + """ + base = _box(cell_size=1 / 16) + child = _cut_child(base) + split = split_fault(child, FAULT) + + u = uw.discretisation.MeshVariable("u_split", split, 1, degree=1) + poisson = uw.systems.Poisson(split, u_Field=u) + poisson.constitutive_model = uw.constitutive_models.DiffusionModel + poisson.constitutive_model.Parameters.diffusivity = 1.0 + poisson.f = 0.0 + for b in ("Left", "Right", "Top", "Bottom"): + poisson.add_dirichlet_bc(0.0, b) + poisson.add_dirichlet_bc(1.0, f"{FAULT}Plus") + poisson.solve() + + X, vals = np.asarray(u.coords), np.asarray(u.data[:, 0]) + tangent = TIP_B - TIP_A + normal = np.array([-tangent[1], tangent[0]]) / np.hypot(*tangent) + s = (X - TIP_A) @ normal + t = ((X - TIP_A) @ tangent) / (tangent @ tangent) + on = (np.abs(s) < 1e-11) & (t > -1e-9) & (t < 1 + 1e-9) + + m = len(_fault_facets(split.dm, f"{FAULT}Plus", + split.boundaries[f"{FAULT}Plus"].value)) + k = m - 1 + # k coincident pairs plus the two single tips. + assert on.sum() == 2 * k + 2 + + interior = on & (t > 1e-9) & (t < 1 - 1e-9) + plus_side = np.isclose(vals, 1.0, atol=1e-10) + pinned = interior & plus_side + free = interior & ~plus_side + # One of each coincident pair reads the pinned value, the other reads a + # genuine interior value strictly between the wall and the pin — it would + # read exactly 1.0 if any DOF were shared. + assert pinned.sum() == k + assert free.sum() == k + assert (vals[free] > 0.0).all() and (vals[free] < 1.0 - 1e-6).all() + # The tips are deliberately NOT split: both sides meet there. + tips = on & ~interior + assert tips.sum() == 2 + assert np.allclose(vals[tips], 1.0, atol=1e-10) + + +def test_labels_pair_up_and_reach_the_solver_stack(): + base = _box() + child = _cut_child(base) + split = split_fault(child, FAULT) + + plus_v = split.boundaries[f"{FAULT}Plus"].value + minus_v = split.boundaries[f"{FAULT}Minus"].value + plus = _fault_facets(split.dm, f"{FAULT}Plus", plus_v) + minus = _fault_facets(split.dm, f"{FAULT}Minus", minus_v) + assert len(plus) == len(minus) > 0 + + # Pairwise coincident: the multiset of endpoint coordinates matches. + X = _coords(split.dm) + vS, _vE = split.dm.getDepthStratum(0) + + def endpoint_multiset(facets): + rows = [] + for e in facets: + pts = sorted(tuple(np.round(X[int(v) - vS], 12)) + for v in split.dm.getCone(e)) + rows.append(tuple(pts)) + return sorted(rows) + + assert endpoint_multiset(plus) == endpoint_multiset(minus) + + # The original name survives on both copies: 2m facets. + fault_v = split.boundaries[FAULT].value + assert len(_fault_facets(split.dm, FAULT, fault_v)) == 2 * len(plus) + + # UW_Boundaries is what the solver reads when resolving a name. + stack = split.dm.getLabel("UW_Boundaries") + assert stack.getStratumSize(plus_v) > 0 + assert stack.getStratumSize(minus_v) > 0 + + +def test_refusals_are_refusals(): + base = _box() + + # A boundary-to-boundary chain: every vertex of a through-going cut sits + # in the star of a boundary facet at its two ends. + through, _info = cut_along_lines( + base.dm, [np.array([[-0.2, 0.37], [1.2, 0.63]])], + label="Thru", label_value=40) + with pytest.raises(ValueError, match="domain boundary"): + split_along_label(through, "Thru", 40, "ThruPlus", 41, + "ThruMinus", 42) + + # A single-facet chain has no interior vertex. + dm = _cut_dm(base.dm) + facets = _fault_facets(dm, FAULT, FAULT_VALUE) + dm.createLabel("Short") + dm.getLabel("Short").setValue(facets[0], 50) + with pytest.raises(ValueError, match="single facet"): + split_along_label(dm, "Short", 50, "SP", 51, "SM", 52) + + # A junction: three arms meeting at one vertex. + junction = np.array([0.5, 0.5]) + jdm = pull_vertex_onto(base.dm, junction) + for kk, arm in enumerate(([[-0.2, 0.20], [0.5, 0.5]], + [[0.5, 0.5], [1.2, 0.30]], + [[0.5, 0.5], [0.55, 1.2]])): + jdm, _ = cut_along_lines(jdm, [np.asarray(arm, dtype=float)], + label="Y", label_value=60) + with pytest.raises(ValueError, match="junction"): + split_along_label(jdm, "Y", 60, "YP", 61, "YM", 62) + + # An unknown label. + with pytest.raises(ValueError, match="no facets carry"): + split_along_label(base.dm, "Nowhere", 7, "NP", 8, "NM", 9) + + # A double split: after the first, the original name marks BOTH copies, + # which read as two parallel chains rather than one. + once, _pm, _cm = _split(_cut_dm(base.dm)) + with pytest.raises(ValueError, match="single open chain"): + split_along_label(once, FAULT, FAULT_VALUE, "P2", 71, "M2", 72) + + # The Mesh-level wrapper refuses a second split by name before touching + # the topology. + child = _cut_child(base) + split = split_fault(child, FAULT) + with pytest.raises(ValueError, match="split already"): + split_fault(split, FAULT) + + +def test_the_split_reapplies_as_the_fault_moves(): + """The fault is a design variable and migrates: same base, two positions.""" + base = _box() + positions = [(TIP_A, TIP_B), + (np.array([0.28, 0.55]), np.array([0.66, 0.38]))] + children = [] + for a, b in positions: + child = _cut_child(base, a, b) + children.append(split_fault(child, FAULT)) + + for split in children: + nc, nv, ne = _strata_counts(split.dm) + assert nv - ne + nc == 0 + areas = cell_areas(split.dm) + assert (areas > 0).all() + assert np.isclose(areas.sum(), 1.0, rtol=1e-12) + # Independent children: different faults, different meshes. + assert not np.array_equal(_coords(children[0].dm), + _coords(children[1].dm)) + + +def _cut_child(base, tip_a=TIP_A, tip_b=TIP_B, name=FAULT): + """A cut child Mesh with interior tips, mirroring add_conforming_surface. + + Tips are placed with `pull_vertex_onto` directly (the surface machinery's + own tip path takes a Surface object); the label value comes from the + extended enum FIRST, exactly as `add_conforming_surface` does, so the + facets the label marks are the facets the enum member resolves to. + """ + boundaries = base._boundaries_with(name) + value = boundaries[name].value + dm = _cut_dm(base.dm, tip_a, tip_b, name=name, value=value) + mesh = uw.discretisation.Mesh( + dm, + simplex=True, + coordinate_system_type=base.CoordinateSystem.coordinate_type, + qdegree=base.qdegree, + boundaries=boundaries, + verbose=False, + ) + mesh.parent = base + mesh._relationship_kind = "refinement" + mesh._refine_dofs_coincide = False + mesh.regions = base.regions + mesh._parent_mesh_version = base._mesh_version + return mesh From 08f860361dca5c509765312d2cafe9a0fa9b6a63 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 18:49:08 +1000 Subject: [PATCH 02/60] Insert essential boundary values in the rotated solve's field copy-back Essential-BC DOFs are absent from the global vector, so the rotated path's per-field globalToLocal scatter left them at ZERO in the output fields wherever the Dirichlet datum was non-zero. The solve itself was always right -- the residual path inserts the values internally -- but every field-based diagnostic (projection, Integral, evaluate, renders) read a garbage boundary strip. Measured: far-field sigma_xy of 0.79 for a true 1.00, and a projected stress row off by 3x one fault length out. Invisible to every earlier rotated test because their Dirichlet walls were homogeneous: zero was accidentally the datum. Fix: petsc_dm_insert_boundary_values in cython/petsc_discretisation.pyx -- wrapping DMPlexInsertBoundaryValues, which petsc4py does not expose; the same insertion the consistent-boundary-flux paths already use (issues #407/#411) -- called per field after the scatter in _finalize_rotated_solution. The regression test drives an inhomogeneous lid with rotated free-slip sides and asserts the FIELD carries the wall values. The tell that found it: the divergence theorem, Integral(2 e_xy) against its own boundary term. The rotated boundary's prescribed datum and the sigma_nn reaction recovery were never affected (both live in the global vector). Fixes #497. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- .../cython/petsc_discretisation.pyx | 17 ++++++++ src/underworld3/utilities/rotated_bc.py | 10 ++++- tests/test_1018_rotated_freeslip.py | 41 +++++++++++++++++++ 3 files changed, 67 insertions(+), 1 deletion(-) diff --git a/src/underworld3/cython/petsc_discretisation.pyx b/src/underworld3/cython/petsc_discretisation.pyx index cd5a248f..a1561305 100644 --- a/src/underworld3/cython/petsc_discretisation.pyx +++ b/src/underworld3/cython/petsc_discretisation.pyx @@ -309,3 +309,20 @@ def petsc_vec_concatenate( inputVecs ): def petsc_get_swarm_coord_name( sdm ): return + + +def petsc_dm_insert_boundary_values(dm_, lvec_, time=0.0): + """Insert essential boundary values into a LOCAL vector of ``dm_``. + + Constrained DOFs are absent from the global system, so a global-to-local + scatter alone leaves them at zero wherever the essential datum g != 0 — + the same gap the consistent-boundary-flux paths close internally (issues + #407/#411). A solve that bypasses SNES's own copy-back (the rotated + strong-BC path) calls this to complete its output fields. Wraps + ``DMPlexInsertBoundaryValues``, which petsc4py does not expose. + """ + cdef DM dm = dm_ + cdef Vec lv = lvec_ + cdef PetscReal t = time + CHKERRQ(DMPlexInsertBoundaryValues(dm.dm, PETSC_TRUE, lv.vec, t, + NULL, NULL, NULL)) diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index 448a7297..f452dd64 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -378,11 +378,19 @@ def _finalize_rotated_solution(solver, U, Q, normal_rows, remove_rotation_gauge) q.destroy() removed = True - # scatter U → velocity/pressure fields + # scatter U → velocity/pressure fields. Constrained (essential-BC) DOFs + # are absent from the global vector, so the scatter leaves them at ZERO in + # the local field — silently wrong wherever the datum g != 0 (an + # inhomogeneous Dirichlet wall next to a rotated boundary). Complete each + # field with the DS's own essential values, exactly as the native SNES + # copy-back does (the #407/#411 insertion, via the cython shim). + from underworld3.cython.petsc_discretisation import \ + petsc_dm_insert_boundary_values for name, var in solver.fields.items(): sg = U.getSubVector(solver._subdict[name][0]) solver._subdict[name][1].globalToLocal(sg, var.vec) U.restoreSubVector(solver._subdict[name][0], sg) + petsc_dm_insert_boundary_values(solver._subdict[name][1], var.vec) # Parity with the normal solve's post-scatter sync (pyx: after the field copy-back): # refresh the enhanced-variable gvec cache and drop the canonical-data cache so diff --git a/tests/test_1018_rotated_freeslip.py b/tests/test_1018_rotated_freeslip.py index 02d81ada..7cf36b3d 100644 --- a/tests/test_1018_rotated_freeslip.py +++ b/tests/test_1018_rotated_freeslip.py @@ -708,3 +708,44 @@ def test_rotated_freeslip_nonlinear_prescribed_normal_datum(): err = np.abs(vn - target).max() assert err < 1e-8, f"nonlinear u.n=cos(theta) not imposed: max nodal error {err:.2e}" assert vn.max() > 0.9 and vn.min() < -0.9, "prescribed normal velocity magnitude wrong" + + +def test_rotated_solve_fields_carry_inhomogeneous_dirichlet_walls(): + """The copy-back gap: essential DOFs are absent from the global vector, so + the rotated path's field scatter left them at ZERO wherever the Dirichlet + datum g != 0 — the solve was right, every field-based diagnostic + (projection, integral, evaluate) read a garbage boundary strip. Caught by + the split-fault work (far-field stress off by 20%); fixed by the + DMPlexInsertBoundaryValues shim in the copy-back. Homogeneous walls hid + this from every earlier rotated test — zero happens to be their datum. + """ + mesh = uw.meshing.StructuredQuadBox( + elementRes=(8, 8), minCoords=(0, 0), maxCoords=(1, 1), qdegree=3) + x, y = mesh.X + v = uw.discretisation.MeshVariable("vIB", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable("pIB", mesh, 1, degree=1, + continuous=False) + s = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + s.constitutive_model = uw.constitutive_models.ViscousFlowModel + s.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + s.tolerance = 1e-8 + s.petsc_use_pressure_nullspace = True + # Inhomogeneous Dirichlet lid and floor, rotated free-slip sides: the + # combination that exposes the gap. + s.add_dirichlet_bc((y - 0.5, 0.0), "Top") + s.add_dirichlet_bc((y - 0.5, 0.0), "Bottom") + s.add_rotated_freeslip_bc(0, "Left") + s.add_rotated_freeslip_bc(0, "Right") + s.solve() + + vc = np.asarray(v.coords) + vd = np.asarray(v.data) + for name, mask, target in ( + ("Top", vc[:, 1] > 1 - 1e-9, +0.5), + ("Bottom", vc[:, 1] < 1e-9, -0.5)): + assert mask.sum() > 0 + err = np.abs(vd[mask, 0] - target).max() + assert err < 1e-10, ( + f"{name} wall u_x in the FIELD is off by {err:.2e}; the rotated " + "copy-back dropped the inhomogeneous essential values") + assert np.abs(vd[mask, 1]).max() < 1e-10 From 6b7caac9a353d591302839176b66a4d748e266db Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 18:49:25 +1000 Subject: [PATCH 03/60] Frictionless fault contact: mean/jump pair blocks in the rotated machinery For each coincident DOF pair of a split fault, build_rotation now writes an orthogonal 2*dim mean/jump block rotated into the fault (n,t) frame: mean rows on the Plus point, jump rows on the Minus point. The jump-normal row joins the strongly-constrained set (no opening, datum 0) and the slip row stays FREE, which is the zero-shear-traction condition -- its conjugate reaction is the shear traction and an unconstrained row carries none. Both points of a pair are rank-local by the split's seam refusal, so every block sits inside one rank's diagonal portion of Q exactly like the single-node wall blocks, and the whole rotated Newton loop, feasibility projection and line search carry over unchanged. A future datum on the slip row is jump-only prescribed slip; a nonlinear relation on it is friction. fault_contact.py holds the registration (against the pairing recorded by split_fault -- the sides are coincident, so the clone map is the only route to the pairs), the solve driver, and the fault_slip diagnostic that reads the jump through the pairing from the global vector. Validated against the analytic mode-II crack at the gate study's resolution: leak max |[v].n| = 5e-18; emergent slip elliptical to 1.35% RMS shape error with the residual confined to the under-resolved sqrt(r) tip zone; peak 92% of the infinite-medium value Delta-tau a / eta (finite box); Coulomb stress lobes in the same decay family as the inclusion and kinematic-slip representations, with amplitudes ordered exactly as their slips; converged in one Newton increment. Study and figures: ~/+Simulations/fault_split_gate/. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/__init__.py | 2 + src/underworld3/utilities/fault_contact.py | 215 +++++++++++++++++++++ src/underworld3/utilities/rotated_bc.py | 57 +++++- tests/test_0846_fault_contact.py | 125 ++++++++++++ 4 files changed, 397 insertions(+), 2 deletions(-) create mode 100644 src/underworld3/utilities/fault_contact.py create mode 100644 tests/test_0846_fault_contact.py diff --git a/src/underworld3/utilities/__init__.py b/src/underworld3/utilities/__init__.py index 782d961e..75891f48 100644 --- a/src/underworld3/utilities/__init__.py +++ b/src/underworld3/utilities/__init__.py @@ -95,5 +95,7 @@ def _append_petsc_path(): from . import custom_mg from .custom_mg import set_custom_fmg from . import edge_split +from . import fault_contact +from . import fault_split from . import line_cut from . import reconnect diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py new file mode 100644 index 00000000..11400d94 --- /dev/null +++ b/src/underworld3/utilities/fault_contact.py @@ -0,0 +1,215 @@ +r"""Interface conditions on a split-node fault: the frictionless contact. + +A split fault (:mod:`underworld3.utilities.fault_split`) carries two +geometrically coincident boundaries, ``Plus`` / ``Minus``, whose +degrees of freedom pair exactly through the split's clone map. This module +imposes the **frictionless (perfectly slippery) contact** on those pairs: + +.. math:: + + [\mathbf v]\cdot\hat n = 0 \quad\text{(no opening, strong)}, \qquad + \hat t\cdot\sigma\cdot\hat n = 0 \quad\text{(zero shear traction)}, + +with the tangential slip :math:`V = [\mathbf v]\cdot\hat t` left to EMERGE — +the stress-driven crack, as opposed to the kinematic (prescribed-slip) +fault, which dictates both sides. + +The mechanism is the rotated strong-constraint machinery of +:mod:`underworld3.utilities.rotated_bc`, extended from per-node blocks to +per-PAIR blocks: for each coincident pair the composite rotation ``Q`` gets an +orthogonal :math:`2\,\mathrm{dim}\times 2\,\mathrm{dim}` block that transforms +``(v^+, v^-)`` to mean/jump components in the fault frame +:math:`(\hat n,\hat t)`. The jump-normal row is strongly constrained to zero; +every other row — the two mean rows and the slip row — is left free, and a +free slip row IS the zero-shear-traction condition (its conjugate reaction is +the shear traction, and an unconstrained row carries none). Friction, later, +is a nonlinear relation placed on that same slip row; prescribed jump-only +slip is a datum on it. + +Both points of a pair are rank-local (the split refuses a fault whose fans +touch the partition seam), so every pair block sits inside one rank's +diagonal portion of ``Q``, exactly like the single-node wall blocks. + +Until the interface lands in the solver API proper, the entry points are +module functions:: + + child = split_fault(cut_mesh, "Fault") + stokes = uw.systems.Stokes(child, ...) + ... wall BCs ... + add_frictionless_fault_bc(stokes, "Fault") + info = solve_with_fault(stokes) + s, V, leak = fault_slip(stokes, "Fault", info) +""" + +import numpy as np + +from underworld3 import mpi + +# PETSc section field id of the velocity unknown (solver field registration +# order: velocity first) — the same convention as rotated_bc. +_VELOCITY_FIELD = 0 + + +def add_frictionless_fault_bc(solver, boundary): + """Register the frictionless contact on the split fault ``boundary``. + + ``boundary`` is the fault's original surface name; the mesh must be one + returned by :func:`fault_split.split_fault`, which records the + Plus/Minus DOF pairing. The condition itself is imposed inside the + rotated solve — run it with :func:`solve_with_fault`. + """ + pairs = getattr(solver.mesh, "_fault_point_pairs", {}) + if boundary not in pairs: + raise ValueError( + f"mesh carries no split-fault pairing for {boundary!r} — the " + "solver's mesh must come from fault_split.split_fault, which is " + "what records the coincident DOF pairs. " + f"Available: {sorted(pairs) or 'none'}") + if solver.mesh.dim != 2: + raise NotImplementedError( + "fault contact is 2-D; the 3-D fault is not yet a split surface.") + registered = getattr(solver, "_fault_contact_faults", []) + if boundary not in registered: + solver._fault_contact_faults = registered + [boundary] + + +def solve_with_fault(solver, verbose=False, zero_init_guess=True, picard=0): + """Solve with the registered fault contact(s) imposed; returns the + rotated-solve result dict (see ``rotated_bc.solve_rotated_freeslip``). + + Drives the SAME manual Newton loop as ``add_rotated_freeslip_bc`` — the + fault pair blocks ride in the rotation the loop already builds — so + rotated wall free-slip and the fault contact compose. The result is also + stashed on ``solver._rotated_freeslip_info`` so the reaction-based + recoveries can find it. + """ + from underworld3.utilities.rotated_bc import solve_rotated_freeslip + + if not getattr(solver, "_fault_contact_faults", []): + raise RuntimeError( + "no fault contact registered on this solver; call " + "add_frictionless_fault_bc first.") + info = solve_rotated_freeslip( + solver, list(getattr(solver, "_rotated_freeslip_bcs", [])), + verbose=verbose, zero_init_guess=zero_init_guess, picard=picard) + solver._rotated_freeslip_info = info + return info + + +def _fault_pair_nodes(solver, boundary): + """The velocity-carrying coincident pairs of a split fault, with normals. + + Returns ``[(q_plus, q_minus, n_hat), ...]`` over this rank's pairs, where + the points are DMPlex points of the solver's DM (vertices and fault + facets — P2 midpoint DOFs live on the facets) and ``n_hat`` is the fault + unit normal at the pair, oriented from the Plus side toward the Minus + side. Orientation is derived per facet from its single support cell — + after the split a fault facet is one-sided, which is what makes the + orientation well-defined — and accumulated to the facet closure points. + The sign only flips the constrained row's sign, so either orientation + imposes the same no-opening condition. + """ + mesh = solver.mesh + dm = solver.dm + dim = mesh.dim + lsec = dm.getLocalSection() + fS, fE = dm.getHeightStratum(1) + + pairs = mesh._fault_point_pairs[boundary] + + plus_name = f"{boundary}Plus" + value = mesh.boundaries[plus_name].value + # Empty-stratum guard: a rank owning no part of the fault is the normal + # case in parallel, and a null IS segfaults in getIndices(). + if not (dm.hasLabel(plus_name) + and dm.getLabel(plus_name).getStratumSize(value) > 0): + return [] + facets = [int(p) for p in + dm.getLabel(plus_name).getStratumIS(value).getIndices() + if fS <= int(p) < fE] + + nacc = {} + for f in facets: + _, cent, nrm = dm.computeCellGeometryFVM(f) + ne = np.asarray(nrm, dtype=float) + ne = ne / (np.linalg.norm(ne) + 1e-30) + support = dm.getSupport(f) + _, ccent, _ = dm.computeCellGeometryFVM(int(support[0])) + if np.dot(ne, np.asarray(cent) - np.asarray(ccent)) < 0: + ne = -ne + for q in (int(c) for c in dm.getTransitiveClosure(f)[0]): + if lsec.getFieldDof(q, _VELOCITY_FIELD) > 0: + nacc[q] = nacc.get(q, np.zeros(dim)) + ne + + out = [] + for q_minus, q_plus in pairs.items(): + if lsec.getFieldDof(int(q_plus), _VELOCITY_FIELD) <= 0: + continue + acc = nacc.get(int(q_plus)) + if acc is None: + # A paired point off the Plus closure would mean the pairing and + # the labels disagree — a split bug, not a configuration error. + raise RuntimeError( + f"fault_contact: paired point {q_plus} carries velocity DOFs " + f"but is not in the {plus_name!r} facet closure.") + out.append((int(q_plus), int(q_minus), + acc / (np.linalg.norm(acc) + 1e-30))) + return out + + +def fault_slip(solver, boundary, solve_result): + """Slip and leak across the fault, per coincident pair, from the solve. + + Returns ``(s, V, leak)`` on this rank: the along-fault coordinate of each + pair (arc-length-like, measured along the fault's mean tangent from the + first tip), the tangential velocity jump :math:`V = \\hat t\\cdot(v^+ - + v^-)`, and the normal jump :math:`\\hat n\\cdot(v^+ - v^-)` — the leak, + which the strong constraint holds at machine zero. Reads the composite + solution ``solve_result["U"]`` through the pairing, which is the only + correct route: the pair coordinates are identical, so field queries by + position see one side only. + """ + dm = solver.dm + dim = solver.mesh.dim + lsec = dm.getLocalSection() + l2g = dm.getLGMap() + U = solve_result["U"] + rs, re = U.getOwnershipRange() + ua = np.asarray(U.getArray()) + + csec = dm.getCoordinateSection() + cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) + v0, v1 = dm.getDepthStratum(0) + + from underworld3.utilities.rotated_bc import _point_coord + + nodes = _fault_pair_nodes(solver, boundary) + coords, jumps, normals = [], [], [] + for q_plus, q_minus, nrm in nodes: + vals = {} + for tag, q in (("plus", q_plus), ("minus", q_minus)): + lo = lsec.getFieldOffset(q, _VELOCITY_FIELD) + grows = [int(l2g.apply([lo + c])[0]) for c in range(dim)] + if not all(rs <= g < re for g in grows): + break + vals[tag] = ua[[g - rs for g in grows]] + if len(vals) < 2: + continue + coords.append(_point_coord(dm, dim, cvec, csec, v0, v1, q_plus)) + jumps.append(vals["plus"] - vals["minus"]) + normals.append(nrm) + if not coords: + return (np.zeros(0),) * 3 + coords = np.array(coords) + jumps = np.array(jumps) + normals = np.array(normals) + tangents = np.column_stack([-normals[:, 1], normals[:, 0]]) + # Along-fault coordinate from the mean tangent, origin at the trailing end. + tbar = tangents.mean(axis=0) + tbar /= np.linalg.norm(tbar) + 1e-30 + s = coords @ tbar + s -= s.min() + order = np.argsort(s) + V = np.einsum("ij,ij->i", jumps, tangents) + leak = np.einsum("ij,ij->i", jumps, normals) + return s[order], V[order], leak[order] diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index f452dd64..f16e5ada 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -223,12 +223,18 @@ def build_rotation(solver, boundaries, datum_specs=None): if dspec is not None: node_dspec.setdefault(q, dspec) + # Split-fault contact pairs (fault_contact.add_frictionless_fault_bc): + # their 2·dim mean/jump blocks widen the widest row of Q. + fault_names = getattr(solver, "_fault_contact_faults", []) + # Distributed Q with the assembled operator's ROW layout. Q is identity except a # per-node dim×dim orthonormal block; because a node's dim velocity components # live on a SINGLE DMPlex point owned by ONE rank, each block is entirely within # that rank's diagonal portion — no off-rank columns. Each rank sets ONLY its # owned rows (ghost copies of a shared boundary node are skipped: their global - # rows fall outside [rstart, rend)). + # rows fall outside [rstart, rend)). A fault PAIR block spans two points, but + # both are rank-local (the split refuses seam-touching faults), so the + # diagonal-portion argument carries over unchanged. A = solver.snes.getJacobian()[0] rstart, rend = A.getOwnershipRange() nloc = rend - rstart @@ -236,7 +242,7 @@ def build_rotation(solver, boundaries, datum_specs=None): Q = PETSc.Mat().create(comm=dm.comm) Q.setSizes(((nloc, N), (nloc, N))) Q.setType("aij") - Q.setPreallocationNNZ((dim, 0)) + Q.setPreallocationNNZ((2 * dim if fault_names else dim, 0)) Q.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) for i in range(rstart, rend): Q.setValue(i, i, 1.0) # identity default (owned rows) @@ -271,6 +277,53 @@ def build_rotation(solver, boundaries, datum_specs=None): nn = M.sum(axis=0); nn = nn / (np.linalg.norm(nn) + 1e-30) sgn = 1.0 if float(np.dot(Vt[0], nn)) >= 0.0 else -1.0 datum_nodes.append((grows[0], q, node_dspec[q], sgn)) + + # Split-fault contact: one orthogonal 2·dim block per coincident DOF pair, + # transforming (v⁺, v⁻) to mean/jump components in the fault (n̂,t̂) frame — + # mean rows written on the Plus point's rows, jump rows on the Minus + # point's. The jump-NORMAL row joins the constrained set (no opening, + # datum 0); the jump-tangent (slip) row stays free, which IS the + # frictionless zero-shear-traction condition — its conjugate reaction is + # the shear traction and an unconstrained row carries none. (A future + # datum on the slip row is jump-only prescribed slip; a nonlinear relation + # on it is friction.) + if fault_names: + from underworld3.utilities import fault_contact + if dim != 2: + raise NotImplementedError("fault contact pair blocks are 2-D.") + s2 = 1.0 / np.sqrt(2.0) + for fname in fault_names: + for q_plus, q_minus, nrm in fault_contact._fault_pair_nodes( + solver, fname): + if q_plus in node_normals or q_minus in node_normals: + raise ValueError( + f"fault {fname!r} shares a node with a rotated " + "free-slip boundary; a point cannot carry both a " + "wall block and a pair block.") + tan = np.array([-nrm[1], nrm[0]]) + gp, gm = [], [] + for q, rows in ((q_plus, gp), (q_minus, gm)): + lo = lsec.getFieldOffset(q, _VELOCITY_FIELD) + rows.extend(int(l2g.apply([lo + c])[0]) + for c in range(dim)) + if any(g < 0 for g in gp + gm): + continue + owned_p = rstart <= gp[0] < rend + owned_m = rstart <= gm[0] < rend + if owned_p != owned_m: + raise RuntimeError( + "fault_contact: a coincident pair straddles ranks — " + "the split's seam refusal should make this " + "impossible.") + if not owned_p: + continue + for row, e, sgn in ((gp[0], nrm, +1.0), (gp[1], tan, +1.0), + (gm[0], nrm, -1.0), (gm[1], tan, -1.0)): + for j in range(dim): + Q.setValue(row, gp[j], s2 * float(e[j])) + Q.setValue(row, gm[j], sgn * s2 * float(e[j])) + normal_rows.append(gm[0]) # [v]·n̂ = 0, datum 0 + Q.assemble() Qt = Q.transpose(PETSc.Mat()) diff --git a/tests/test_0846_fault_contact.py b/tests/test_0846_fault_contact.py new file mode 100644 index 00000000..8b76c580 --- /dev/null +++ b/tests/test_0846_fault_contact.py @@ -0,0 +1,125 @@ +"""Frictionless contact on a split-node fault +(:mod:`underworld3.utilities.fault_contact`). + +The perfectly slippery fault: no opening ([v]·n̂ = 0, strong) and zero shear +traction, with the tangential slip EMERGING from the far-field load — the +stress-driven crack, where the kinematic fault of the split-node gate +prescribed both sides. The analytic mode-II crack in an incompressible medium +under remote shear Δτ gives an elliptical velocity jump + + V(x) = (Δτ/η)·sqrt(a² − x²), peak V = Δτ·a/η, + +so the solved slip must be one-signed, elliptical in shape, vanish at the +unsplit tips, and peak below-but-near Δτ·a/η (a finite box suppresses the +far field and with it the peak). What is asserted, and what each would catch: + +- **the pairing is complete** — 2m−1 velocity-carrying pairs for a chain of m + facets (m−1 duplicated vertices + m doubled facets carrying the P2 + midpoint DOFs). A missed pair is a welded node. +- **leak is machine zero** — the strong jump-normal constraint, read through + the pairing (a coordinate query cannot distinguish the sides). +- **slip profile** — sign, tip decay, elliptical fit, peak against the crack + value. A wrong pair block (sign, normalisation, row placement) distorts + the profile long before it breaks conformity or convergence. +- **the solve genuinely converged** — the rotated loop's own verdict. +""" +import numpy as np +import pytest + +import underworld3 as uw +from underworld3.utilities.fault_contact import (add_frictionless_fault_bc, + fault_slip, solve_with_fault) +from underworld3.utilities.fault_split import split_fault +from underworld3.utilities.line_cut import cut_along_lines, pull_vertex_onto + +pytestmark = [pytest.mark.level_1, pytest.mark.tier_b] + +TIP_A = np.array([0.30, 0.45]) +TIP_B = np.array([0.70, 0.55]) +HALF = 0.5 * np.linalg.norm(TIP_B - TIP_A) + + +def _split_box(cell_size=1 / 24, name="Flt"): + base = uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), + cellSize=cell_size, regular=False, qdegree=2) + boundaries = base._boundaries_with(name) + dm = pull_vertex_onto(base.dm, np.vstack([TIP_A, TIP_B])) + dm, _info = cut_along_lines(dm, [np.vstack([TIP_A, TIP_B])], + label=name, + label_value=boundaries[name].value) + cut = uw.discretisation.Mesh( + dm, simplex=True, + coordinate_system_type=base.CoordinateSystem.coordinate_type, + qdegree=base.qdegree, boundaries=boundaries, verbose=False) + cut.parent = base + cut._relationship_kind = "refinement" + cut._refine_dofs_coincide = False + cut.regions = base.regions + cut._parent_mesh_version = base._mesh_version + return split_fault(cut, name) + + +def test_frictionless_fault_slips_like_a_crack(): + mesh = _split_box() + x, y = mesh.X + + v = uw.discretisation.MeshVariable("vFC", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable("pFC", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + + add_frictionless_fault_bc(stokes, "Flt") + info = solve_with_fault(stokes) + assert info["converged"], "the rotated fault-contact solve did not converge" + + # Pairing completeness: m facets -> (m-1) vertex pairs + m facet pairs. + m = mesh.dm.getLabel("FltPlus").getStratumSize( + mesh.boundaries["FltPlus"].value) + s, V, leak = fault_slip(stokes, "Flt", info) + assert len(s) == 2 * m - 1 + + # No opening, to machine precision, at every pair. + assert np.abs(leak).max() < 1e-13 + + # The slip: one-signed, tip-decaying, elliptical, near the crack peak. + Vmag = np.abs(V) + sign = np.sign(V[np.argmax(Vmag)]) + assert ((sign * V) >= -1e-12 * Vmag.max()).all(), "slip changes sign" + assert Vmag.max() > 0.1 * HALF, "the fault barely slips — welded somewhere" + # ends (nearest pairs to the unsplit tips) carry much less than the peak + assert Vmag[0] < 0.5 * Vmag.max() and Vmag[-1] < 0.5 * Vmag.max() + # elliptical profile: V ~ Vmax * sqrt(1 - u^2) on the tip-to-tip span + u = 2.0 * (s - s.min()) / (s.max() - s.min() + 1e-30) - 1.0 + # the span s covers pair nodes only; the true tips sit half a facet + # beyond each end, so stretch u accordingly before the fit + du = (s[1] - s[0]) / (s.max() - s.min() + 1e-30) + u = u / (1.0 + du) + ellipse = np.sqrt(np.clip(1.0 - u ** 2, 0.0, None)) + fit = (sign * V) / Vmag.max() + misfit = np.sqrt(np.mean((fit - ellipse * fit.max()) ** 2)) + assert misfit < 0.15, f"slip profile is not elliptical (rms {misfit:.3f})" + # peak against the analytic crack Δτ·a/η = HALF (Δτ = η = 1): below it + # (finite box), but the right size. + assert 0.4 * HALF < Vmag.max() < 1.05 * HALF, ( + f"peak slip {Vmag.max():.4f} vs crack value {HALF:.4f}") + + +def test_registration_refuses_an_unsplit_mesh(): + base = uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 8, + regular=False, qdegree=2) + v = uw.discretisation.MeshVariable("vNC", base, 2, degree=2) + p = uw.discretisation.MeshVariable("pNC", base, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(base, velocityField=v, pressureField=p) + with pytest.raises(ValueError, match="no split-fault pairing"): + add_frictionless_fault_bc(stokes, "Flt") + with pytest.raises(RuntimeError, match="no fault contact registered"): + solve_with_fault(stokes) From ca222a293857218f8ec293d04c0f100a421d54f9 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 20:09:44 +1000 Subject: [PATCH 04/60] Viscous fault law: the linear interface member, plus the deployment design add_viscous_fault_bc(solver, conds, boundary): tau = eta_f * V on the split fault, entering the rotated system as 2*eta_f*M on the slip rows (M the consistent 1-D P2 trace mass per fault facet; the tips drop out topologically because the jump space vanishes where the sides share a point, so the interface law needs no boundary condition of its own). The solve driver gains the two hooks every interface law uses: K.(Qu) added to the rotated residual, K added to a COPY of the ptap-refreshed operator (never injected -- the refresh owns its structure; the null space is re-attached on each rebuilt copy). Measured at the study resolution: the family bridges welded to free monotonically over three decades, following the crack compliance V/V_free = 1/(1 + 0.91 eta_f a / eta) with half-slip at eta_f = eta/a, and machine-zero opening at every member. The welded limit REMOVES the fault (recovers the uncut continuum) rather than stiffening it: only the jump is penalised, the mean velocity is never touched. A friction law replaces the constant with 2*(d tau/d V)*M in the same hook, and the measured compliance curve is its acceptance oracle at the secant eta_f = tau/V. docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md records the agreed deployment architecture: the three layers (persistent replicated manifold / ephemeral split mesh with the trace mapping / pair-transform constitutive layer), the two entry paths over one backend, and the parallel seam-vertex crossing rule (pin a vertex at each fault-seam crossing; one shared replica pair per crossing, keyed by root point and side). Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- .../FAULT_CONTACT_DEPLOYMENT_2026-08.md | 136 ++++++++++++++++++ src/underworld3/utilities/fault_contact.py | 122 ++++++++++++++++ src/underworld3/utilities/rotated_bc.py | 54 ++++++- tests/test_0846_fault_contact.py | 43 ++++++ 4 files changed, 348 insertions(+), 7 deletions(-) create mode 100644 docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md diff --git a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md new file mode 100644 index 00000000..d6f04f5b --- /dev/null +++ b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md @@ -0,0 +1,136 @@ +# Split-node fault contacts: deployment design + +**Status**: agreed direction (maintainer + AI session, 2026-08-04). The +backend primitives are prototyped and validated on `feature/fault-split-node`; +this note records the architecture and the path from prototype to deployed +capability. Companion study with all reference numbers: +`~/+Simulations/fault_split_gate/`. + +## What exists and what it measured + +A fault as a **zero-thickness contact**: the mesh's nodes are duplicated along +a conforming facet chain (`utilities/fault_split.py`), so continuous FE spaces +jump across the fault and nowhere else; interface conditions act on the +coincident DOF pairs through an orthogonal mean/jump extension of the rotated +strong-BC machinery (`utilities/fault_contact.py`, pair blocks in +`rotated_bc.build_rotation`). + +Validated so far, all at the fault-study resolution (13k cells): + +| what | result | +|---|---| +| Schur conditioning | 10 iterations vs the thin weak inclusion's 147, resolution-independent | +| no-opening constraint | machine zero (5e-18) in every configuration tested | +| frictionless (stress-driven) slip | elliptical to 1.35 % RMS; peak 92 % of the infinite-medium crack (finite box) | +| viscous interface law τ = η_f·V | welded↔free family follows the crack compliance 1/(1 + 0.91 η_f a/η) | +| welded limit | removes the fault (recovers the uncut continuum) — it penalises the JUMP only; the mean velocity is never constrained, so nothing becomes rigid | + +The Coulomb lobe geometry matches the inclusion representation across all +three fault laws tried (prescribed slip, frictionless, viscous), with +amplitudes ordered exactly by their slip. + +## The three-layer architecture (settled) + +1. **The fault manifold** — persistent, owns the physics identity. A genuine + lower-dimensional mesh (polyline in 2-D; the placed-surface branch's + pyvista triangulation in 3-D), **replicated on every rank**. Its NODES are + the Lagrangian markers of the fault: per-node internal state (rate-state + θ, slip history) and property fields live here — arc length is NOT a + material coordinate under fault deformation, nodes are. A network is a + set of manifold components plus a junction table. +2. **The split bulk mesh** — ephemeral, rebuilt whenever the fault moves + (the non-cumulative `adapt` pattern: re-cut and re-split from the static + base). It carries only the **trace mapping**: the Minus→Plus point pairs + (`mesh._fault_point_pairs`, from the split's clone map — the sides are + coincident, so no coordinate query can ever recover the pairing), and + what derives from them (slip rows, normals, s-coordinates for sampling + against the manifold). +3. **The constraint/constitutive layer** — the pair transform (no opening + strong; slip row free = frictionless, datum = prescribed jump-only slip, + linear operator = viscous, nonlinear relation = friction). Interface + operators assemble as slip-row trace-mass blocks; tips need no interface + BC because the jump space vanishes where the sides share a point. + +## Two entry paths, one backend + +- **(a) Submesh-surface path**: a persistent fault object supplies the + manifold and its data; the bulk mesh conforms to it and splits along it. + This is the natural interface for models where the fault is a first-class + design object (earthquake studies, faulted margins). +- **(b) Ephemeral adapt-on-top path**: per step or per re-adaptation, the + manifold drives the refinement metric, the cut, and the split on a child of + the static base; fields and manifold state transfer across rebuilds + (bulk fields via the existing re-adaptation machinery, manifold state by + identity — it never lived on the bulk mesh). + +Both funnel through the same backend contract: + + manifold → conforming labelled chain on the bulk mesh + → split (pairs recorded) + → trace mapping (pairs ↔ manifold nodes) + → interface laws on the pairs + +API sketch (interface-first discipline: land the signatures on `development` +as stubs before the feature branch fills them): + +```python +fault = uw.meshing.FaultSurface(name, geometry, properties=..., ) # layer 1 +child = mesh.add_fault(fault, ...) # adapt→cut→split, or split-only +stokes.add_fault_bc(law, fault.name) # "free" | ("viscous", eta_f) | friction later +``` + +## Parallel: the seam-vertex crossing rule (maintainer ruling, 2026-08-04) + +Never synchronise interior replicas across ranks. Instead **pin a mesh vertex +exactly at every fault–seam crossing** (`pull_vertex_onto` is already +collective and partition-consistent), and require crossings to be +transversal. Then: + +- every fault facet, and every interior replica, is rank-local — the current + machinery applies unchanged; +- the ONLY shared object is the crossing vertex, which needs one shared + replica pair: a single new star-forest entry per crossing, associated + deterministically by the key **(original root point, side)** — both ranks + compute the side identically because both hold the replicated manifold and + the chain-direction rule (lexicographically smaller tip first) is global; +- replicas inherit the original's owner, so the pair blocks in Q stay inside + one rank's diagonal portion and the existing "pair straddles ranks" guard + remains an invariant, not a limitation. + +Still refused, deliberately: a fault running *along* a seam (facets on the +seam), and junctions on a seam (first version). The current blanket seam +refusal stays in place until this lands, and remains the fallback error. + +## Staging + +1. **API layer + common backend, serial** — `FaultSurface`, `add_fault`, + `add_fault_bc`; docs; promote the module functions behind the methods. +2. **Parallel crossing rule** — the one-entry-per-crossing SF extension, + np=2–4 tests including a fault deliberately spanning two ranks. +3. **Nonlinear interface laws** — regularised Coulomb with σ_n from the + normal-row reaction (Picard-lagged), tangent 2·(dτ/dV)·M rebuilt per + Newton iteration in the existing hook; oracle: at fixed τ the solution + must land on the measured compliance curve at the secant η_f = τ/V. + Then rate-state (arcsinh form; θ ODE on manifold nodes between steps). +4. **Manifold state plumbing** — trace↔manifold sampling, the gather/reduce + collective for V and σ_n feeding the θ ODE, checkpointing via the + manifold object. + +Geometric multigrid is a separate track (split only the finest 1–2 levels; +side-aware transfer at the single split/unsplit seam) and is not a +prerequisite for any of the above — GAMG holds comfortably at current scale. + +## Traps already paid for (do not rediscover) + +- petsc4py `getLabel` on a missing name and `getStratumIS` on an empty + stratum return NULL-wrapping objects that SEGFAULT on first use — guard + with `hasLabel` / `getStratumSize`. +- The rotated path's field copy-back dropped inhomogeneous essential values + (#497, fixed): essential DOFs are absent from the global vector. The tell + is the divergence theorem failing on a field diagnostic. +- Never inject interface entries into the `ptap`-refreshed rotated operator — + add them to a copy; re-attach the null space on each rebuilt copy. +- The pairing comes from the clone map only; coordinate matching is + impossible-by-construction at zero distance. Protect the property that the + two trace spaces are identical with exactly paired DOFs — losing it means + genuine mortar machinery. diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index 11400d94..df743199 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -73,6 +73,35 @@ def add_frictionless_fault_bc(solver, boundary): solver._fault_contact_faults = registered + [boundary] +def add_viscous_fault_bc(solver, conds, boundary): + r"""Register a viscous (linear dashpot) law on the split fault ``boundary``: + + .. math:: \hat t\cdot\sigma\cdot\hat n = \eta_f\, V, + \qquad V = [\mathbf v]\cdot\hat t, + + with ``conds`` = :math:`\eta_f`, the interface viscosity (bulk viscosity + per unit length: the zero-thickness limit of a shear band of viscosity + :math:`\eta_b` and width :math:`w` is :math:`\eta_f = \eta_b/w`). The + no-opening constraint rides along as always. Limits: ``conds = 0`` is the + frictionless contact; ``conds`` large welds the fault. The natural scale + is :math:`\eta/a` (bulk viscosity over fault half-length), at which the + fault slips at roughly half its free rate. + + This is the linear member of the interface-law family: the term enters + the rotated system as :math:`2\eta_f M` on the slip rows (:math:`M` the + 1-D trace mass), which is exactly the tangent structure a friction law + occupies with :math:`2\,(\partial\tau/\partial V)\,M` — so everything + downstream of this hook is what friction will reuse. + """ + add_frictionless_fault_bc(solver, boundary) + eta_f = float(conds) + if eta_f < 0.0: + raise ValueError(f"interface viscosity must be >= 0 (got {eta_f}).") + registered = dict(getattr(solver, "_fault_interface_viscosity", {})) + registered[boundary] = eta_f + solver._fault_interface_viscosity = registered + + def solve_with_fault(solver, verbose=False, zero_init_guess=True, picard=0): """Solve with the registered fault contact(s) imposed; returns the rotated-solve result dict (see ``rotated_bc.solve_rotated_freeslip``). @@ -157,6 +186,99 @@ def _fault_pair_nodes(solver, boundary): return out +def _interface_slip_operator(solver, Q): + r"""The interface constitutive operator on the rotated slip rows, or None. + + For every registered fault with :math:`\eta_f > 0`, assembles + :math:`\hat K = 2\eta_f M` where :math:`M` is the consistent 1-D P2 trace + mass over the fault facets and the factor 2 converts between the slip + :math:`V` and the rotated slip row's value :math:`V/\sqrt 2` (the term is + :math:`\eta_f\int V\,\delta V\,d\Gamma = 2\eta_f\,\hat u^T M\,\delta\hat + u`). Rows/columns live only on slip rows, so the operator adds to the + rotated Jacobian and contributes :math:`\hat K\hat u` to the rotated + residual — the solve driver owns both hooks. + + A tip vertex has no slip DOF — both sides share the point, the jump + space vanishes there — so its trace-mass entries are simply dropped: + the interface law inherits V = 0 at the tips topologically, with no + boundary condition on the interface system. + + ``Q`` is accepted for interface laws that need the rotated frame; the + linear law only needs the row map, which is rebuilt here from the same + deterministic pairing ``build_rotation`` used. + """ + from petsc4py import PETSc + + registered = {name: eta for name, eta in + getattr(solver, "_fault_interface_viscosity", {}).items() + if eta > 0.0} + if not registered: + return None + + dm = solver.dm + dim = solver.mesh.dim + lsec = dm.getLocalSection() + l2g = dm.getLGMap() + csec = dm.getCoordinateSection() + cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) + v0, v1 = dm.getDepthStratum(0) + fS, fE = dm.getHeightStratum(1) + + A = solver.snes.getJacobian()[0] + rstart, rend = A.getOwnershipRange() + nloc = rend - rstart + N = A.getSize()[0] + K = PETSc.Mat().create(comm=dm.comm) + K.setSizes(((nloc, N), (nloc, N))) + K.setType("aij") + K.setPreallocationNNZ((3, 0)) + K.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) + + # Consistent mass of a P2 line element of unit length, nodes ordered + # (end, midpoint, end). + M_e = np.array([[4.0, 2.0, -1.0], + [2.0, 16.0, 2.0], + [-1.0, 2.0, 4.0]]) / 30.0 + + for name, eta_f in registered.items(): + pairs = solver.mesh._fault_point_pairs[name] + minus_of = {q_plus: q_minus for q_minus, q_plus in pairs.items()} + + def slip_row(q_plus): + """Global row of the pair's rotated slip component, or None at a + tip (no replica, no slip DOF).""" + q_minus = minus_of.get(int(q_plus)) + if q_minus is None: + return None + lo = lsec.getFieldOffset(q_minus, _VELOCITY_FIELD) + g = int(l2g.apply([lo + 1])[0]) + return g if g >= 0 else None + + plus_name = f"{name}Plus" + value = solver.mesh.boundaries[plus_name].value + if not (dm.hasLabel(plus_name) + and dm.getLabel(plus_name).getStratumSize(value) > 0): + continue + facets = [int(p) for p in + dm.getLabel(plus_name).getStratumIS(value).getIndices() + if fS <= int(p) < fE] + for f in facets: + va, vb = (int(q) for q in dm.getCone(f)) + L = float(np.linalg.norm(cvec[csec.getOffset(va) // dim] + - cvec[csec.getOffset(vb) // dim])) + rows = [slip_row(va), slip_row(f), slip_row(vb)] + for i, gi in enumerate(rows): + if gi is None or not (rstart <= gi < rend): + continue + for j, gj in enumerate(rows): + if gj is None: + continue + K.setValue(gi, gj, 2.0 * eta_f * L * M_e[i, j], + addv=True) + K.assemble() + return K + + def fault_slip(solver, boundary, solve_result): """Slip and leak across the fault, per coincident pair, from the solve. diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index f16e5ada..4f0c0972 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -653,6 +653,16 @@ def solve_rotated_freeslip(solver, boundaries, remove_rotation_gauge=True, # gauge is fixed by the naive pressure pin instead (see _naive_pressure_pin). use_lu = bool(getattr(solver, "_rotated_use_lu", False)) custom_Pl = None if use_lu else _build_rotated_custom_Pl(solver, Q, normal_rows) + # Interface constitutive operator (fault_contact.add_viscous_fault_bc): + # K̂ lives on the rotated slip rows, adds K̂·û to the rotated residual and + # K̂ to the rotated tangent. Geometry- and coefficient-fixed for the + # linear law, so built once; a nonlinear interface law re-enters here as + # a per-iteration rebuild with the tangent dτ/dV. + Khat = None + if any(eta > 0.0 for eta in + getattr(solver, "_fault_interface_viscosity", {}).values()): + from underworld3.utilities import fault_contact + Khat = fault_contact._interface_slip_operator(solver, Q) # The null space is built INSIDE the loop, after the first Jacobian assembly: # _mode_satisfies_constraints verifies each candidate mode against the # ASSEMBLED operator (‖J·m‖ ≈ 0), which an unassembled J cannot support. @@ -701,6 +711,7 @@ def solve_rotated_freeslip(solver, boundaries, remove_rotation_gauge=True, # diagonal scale (frozen at the first tangent — only the magnitude matters), # and the KSP/PC context (fieldsplit ISs, FMG hierarchy, GAMG setup survive). Ahat = None + Atot = None Mp = None ctx = None diag_scale = None @@ -712,6 +723,13 @@ def rotated_residual(uvec, keep_cartesian=False): Fc.copy(reaction) # stash the Cartesian reaction for σ_nn Fh = Fc.duplicate() Q.mult(Fc, Fh) + if Khat is not None: + # interface constitutive force: K̂·û on the slip rows (the pair's + # equal-and-opposite tractions, already in the rotated frame) + uh = Fh.duplicate() + Q.mult(uvec, uh) + Khat.multAdd(uh, Fh, Fh) + uh.destroy() _zero_rows_local(Fh, normal_rows) return Fh @@ -766,6 +784,24 @@ def rotated_residual(uvec, keep_cartesian=False): Ahat = J.ptap(Qt) else: J.ptap(Qt, result=Ahat) # same nonzero pattern → in-place refresh + # The interface operator is added to a COPY: the ptap-with-result + # refresh above owns Ahat's structure, and injected entries would be + # stale-or-doubled on the next refresh. + if Khat is not None: + if Atot is not None: + Atot.destroy() + Atot = Ahat.copy() + Atot.axpy(1.0, Khat, + structure=PETSc.Mat.Structure.DIFFERENT_NONZERO_PATTERN) + # A recreated operator loses the null space the first solve + # attached; re-attach for iterations after the first (a nonlinear + # interface law is what reaches them). + if ctx is not None and ctx.get("nsp") is not None: + Atot.setNullSpace(ctx["nsp"]) + Atot.setTransposeNullSpace(ctx["nsp"]) + Aop = Atot + else: + Aop = Ahat if not use_lu: if ctx is None: Mp = _pressure_mass_schur_pmat(solver) @@ -773,7 +809,7 @@ def rotated_residual(uvec, keep_cartesian=False): elif Mp is not None: Jp.createSubMatrix(pres_is, pres_is, submat=Mp) # viscosity may be u-dependent if diag_scale is None: - diag_scale = _velocity_diag_scale(Ahat, solver) + diag_scale = _velocity_diag_scale(Aop, solver) bhat = Fhat.copy() bhat.scale(-1.0) if lift_datum and iters == 0: @@ -781,11 +817,11 @@ def rotated_residual(uvec, keep_cartesian=False): # b̂[rows] = diag·x̂ and the eliminated columns' A[:,cols]·x̂ are # subtracted from the other rows. For a LINEAR model this increment IS # the whole solve; the loop converges at the next residual check. - Ahat.zeroRowsColumns(normal_rows, diag=diag_scale, x=xhat, b=bhat) + Aop.zeroRowsColumns(normal_rows, diag=diag_scale, x=xhat, b=bhat) xhat.destroy() xhat = None else: - Ahat.zeroRowsColumns(normal_rows, diag=diag_scale) + Aop.zeroRowsColumns(normal_rows, diag=diag_scale) if use_lu: if ctx is None: ksp_lu = PETSc.KSP().create(comm=dm.comm) @@ -797,10 +833,10 @@ def rotated_residual(uvec, keep_cartesian=False): "pin": _naive_pressure_pin(dm)} pin = ctx["pin"] if pin is not None: - Ahat.zeroRows([pin], diag=1.0) + Aop.zeroRows([pin], diag=1.0) _zero_rows_local(bhat, [pin]) - ctx["ksp"].setOperators(Ahat) # values changed in place → refactor - dhat = Ahat.createVecRight() + ctx["ksp"].setOperators(Aop) # values changed in place → refactor + dhat = Aop.createVecRight() dhat.set(0.0) ctx["ksp"].solve(bhat, dhat) last_reason = ctx["ksp"].getConvergedReason() @@ -810,7 +846,7 @@ def rotated_residual(uvec, keep_cartesian=False): _zero_rows_local(dhat, normal_rows) else: dhat, last_reason, ctx = _solve_rotated_iterative( - solver, Ahat, bhat, Q, Qt, normal_rows, + solver, Aop, bhat, Q, Qt, normal_rows, custom_Pl=custom_Pl, nsp=nsp, Mp=Mp, verbose=False, ctx=ctx) lin_its.append(ctx["ksp"].getIterationNumber()) d = dm.createGlobalVec() @@ -882,6 +918,10 @@ def rotated_residual(uvec, keep_cartesian=False): _destroy_rotated_ksp_ctx(ctx) # KSP/PC + the owned Schur pmat if Ahat is not None: Ahat.destroy() # the reused rotated operator + if Atot is not None: + Atot.destroy() # rotated operator + interface term + if Khat is not None: + Khat.destroy() if xhat is not None: xhat.destroy() # unused lift vector (loop exited before it) removed = _finalize_rotated_solution(solver, u, Q, normal_rows, remove_rotation_gauge) diff --git a/tests/test_0846_fault_contact.py b/tests/test_0846_fault_contact.py index 8b76c580..b3f6bdf2 100644 --- a/tests/test_0846_fault_contact.py +++ b/tests/test_0846_fault_contact.py @@ -28,6 +28,7 @@ import underworld3 as uw from underworld3.utilities.fault_contact import (add_frictionless_fault_bc, + add_viscous_fault_bc, fault_slip, solve_with_fault) from underworld3.utilities.fault_split import split_fault from underworld3.utilities.line_cut import cut_along_lines, pull_vertex_onto @@ -111,6 +112,48 @@ def test_frictionless_fault_slips_like_a_crack(): f"peak slip {Vmag.max():.4f} vs crack value {HALF:.4f}") +def test_viscous_fault_bridges_welded_to_free(): + """The linear interface law spans its two exact limits monotonically. + + tau = eta_f * V: at eta_f = 0 the frictionless crack must be reproduced + bit-for-bit in character (same peak); at eta_f >> eta/a the fault welds + (slip collapses, the box shears as if uncut); in between the slip drops + monotonically through the compliance scale eta/a. The dashpot occupies + exactly the tangent slot a friction law will use, so this family is the + coupling machinery's calibration curve. + """ + mesh = _split_box() + x, y = mesh.X + + peaks = {} + for tag, eta_f in (("free", 0.0), ("mid", 1.0 / HALF), ("hard", 5.0e3)): + v = uw.discretisation.MeshVariable(f"v{tag}", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable(f"p{tag}", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + add_viscous_fault_bc(stokes, eta_f, "Flt") + info = solve_with_fault(stokes) + assert info["converged"], f"eta_f={eta_f}: solve did not converge" + _s, V, leak = fault_slip(stokes, "Flt", info) + assert np.abs(leak).max() < 1e-13, ( + f"eta_f={eta_f}: the no-opening constraint leaked") + peaks[tag] = float(np.abs(V).max()) + + assert peaks["free"] > 0.1 * HALF, "the eta_f=0 member does not slip" + # strict monotone bridging, with a genuinely intermediate middle member + assert peaks["free"] > peaks["mid"] > peaks["hard"] + assert 0.15 * peaks["free"] < peaks["mid"] < 0.9 * peaks["free"], ( + f"eta_f = eta/a should sit mid-family: {peaks}") + assert peaks["hard"] < 0.02 * peaks["free"], ( + f"a stiff dashpot should weld the fault: {peaks}") + + def test_registration_refuses_an_unsplit_mesh(): base = uw.meshing.UnstructuredSimplexBox( minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 8, From a86966cb5b0c0cb9a48643b809b4b1f6065c609d Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 20:14:04 +1000 Subject: [PATCH 05/60] Junction strategy in the fault deployment design: offset, abutment, d-sector Three levels, each a legitimate model on its own. J0: disjoint segments with a ligament of one or two local h -- available today under the existing refusals, validated by the King two-fault interaction pattern; a crossing is two offset abutments. J1: true tip-on-fault abutment -- split the through-going fault first, then the abutter with its unsplit tip on the master's slit; the only code change is the boundary-touching refusal distinguishing, for tips only, a domain boundary from a prior fault's slit. J2: the exact degree-d sector split, where branch compatibility is a telescoping identity of sector differences (no cycle constraint, no multiplier) and the acceptance test is machine-precision closure of the branch slips at the junction. Junctions stay off partition seams at every level. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- .../FAULT_CONTACT_DEPLOYMENT_2026-08.md | 43 +++++++++++++++++++ 1 file changed, 43 insertions(+) diff --git a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md index d6f04f5b..8add2a7e 100644 --- a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md +++ b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md @@ -101,10 +101,53 @@ Still refused, deliberately: a fault running *along* a seam (facets on the seam), and junctions on a seam (first version). The current blanket seam refusal stays in place until this lands, and remains the fallback error. +## Crossing and branching faults: the three-level strategy + +Faults branch even where they cannot cross, and crossings evolve (an +inactive crossing deforms into two abutments and reactivates). Three levels, +each usable on its own; the approximate ones are legitimate models, not +placeholders. + +- **J0 — offset junctions (available now).** A branch or crossing is a set + of DISJOINT segments separated by a ligament of one or two local h. Each + splits independently under the existing refusals; the intact ligament + transmits stress between them. Junction process zones are physical, the + error is ligament-scale and shrinks with the near-fault refinement. + Validation: the King two-fault interaction pattern. A crossing is two + offset abutments. +- **J1 — true abutment, tip-on-fault (a refusal refinement).** Split the + through-going fault FIRST; the abutter's tip vertex then belongs to one + side's copy (the sector it approaches from), and the abutter splits as an + ordinary fault whose UNSPLIT tip sits on the master's slit. Tips are never + fan-walked, so the only change is the boundary-touching refusal learning + to distinguish, for tips only, a domain boundary from a prior fault's slit + (the labels tell them apart). Exact T kinematics: the master slips through + freely; branch slip tapers to zero over its last facet. This is the + locked-branch case — sufficient wherever the branch does not actively + partition slip. +- **J2 — the exact d-sector split (scheduled).** A degree-d junction vertex + receives d sector copies (the fan walk opened at ALL incident fault + edges); branch compatibility — trunk slip partitioning onto splays — is a + TELESCOPING IDENTITY of sector differences around the vertex, so no cycle + constraint and no multiplier exists; per-branch no-opening plus per-branch + interface laws close the system, and a crossing is simply d = 4. New + pieces, all contained: the generalised fan walk, d−1 replicas per junction + vertex, per-branch pairing in the trace mapping, and a d-sector BC block + at junction nodes in place of the pair block. Acceptance test: the vector + sum of branch slips at the junction closes to machine precision — an + identity of the representation, not a physics tolerance. The ordinary + chain vertex is d = 2 and the tip is d = 1 under the same rule. + +Junctions stay OFF partition seams at every level, consistent with the +seam-vertex crossing rule. + ## Staging 1. **API layer + common backend, serial** — `FaultSurface`, `add_fault`, `add_fault_bc`; docs; promote the module functions behind the methods. + Includes J0 (offset junctions) as a documented pattern with a two-fault + interaction test, and J1 (tip-on-fault abutment) as the refusal + refinement. 2. **Parallel crossing rule** — the one-entry-per-crossing SF extension, np=2–4 tests including a fault deliberately spanning two ranks. 3. **Nonlinear interface laws** — regularised Coulomb with σ_n from the From 4840b2a8c1303d115d65dab3e06dccba2f89caa0 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 20:28:03 +1000 Subject: [PATCH 06/60] The deployed fault interface: Mesh.add_fault + solver.add_fault_bc + plain solve() MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The user-facing layer over the split-node backend, per the deployment design. Mesh.add_fault(faults) runs the whole pipeline in one call — tips placed onto vertices, conforming cut, split with the coincident pairing recorded — accepting a Surface, a (name, points) pair, or a sequence of either. A sequence is a NETWORK: every fault is cut first, then every fault is split, which makes the offset-junction (J0) pattern a one-liner. Splitting renumbers the whole chart, so prior faults' pairings are carried through the new split's point_map rather than copied verbatim — verbatim ids silently index the wrong points, which is exactly how the network case failed first. solver.add_fault_bc(conds, boundary) is the value-first BC: conds = 0 the frictionless contact, conds > 0 the viscous interface tau = eta_f V. With a fault registered, an ORDINARY solve() dispatches to the rotated fault-contact path; guard() and estimate_difficulty() refuse loudly there, exactly as for rotated free-slip. End-to-end tests: one-call fault + plain solve reproducing the crack behaviour, the viscous law through the solver method, Surface-object input, and a two-segment offset network slipping on both faults with machine-zero opening. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- .../cython/petsc_generic_snes_solvers.pyx | 60 ++++++++- .../discretisation/discretisation_mesh.py | 27 ++++ src/underworld3/utilities/fault_split.py | 118 ++++++++++++++++- tests/test_0847_fault_api.py | 120 ++++++++++++++++++ 4 files changed, 319 insertions(+), 6 deletions(-) create mode 100644 tests/test_0847_fault_api.py diff --git a/src/underworld3/cython/petsc_generic_snes_solvers.pyx b/src/underworld3/cython/petsc_generic_snes_solvers.pyx index 5ff3ce6b..b7922de6 100644 --- a/src/underworld3/cython/petsc_generic_snes_solvers.pyx +++ b/src/underworld3/cython/petsc_generic_snes_solvers.pyx @@ -1267,9 +1267,11 @@ class SolverBaseClass(uw_object): unguard : remove the deadline. estimate_difficulty : bound the *work* (an iteration count) instead. """ - if getattr(self, "_rotated_freeslip_bcs", None): + if getattr(self, "_rotated_freeslip_bcs", None) \ + or getattr(self, "_fault_contact_faults", None): raise NotImplementedError( - "guard() is not available with rotated free-slip BCs: that path runs " + "guard() is not available with rotated free-slip / fault-contact " + "BCs: that path runs " "its own Krylov loop outside self.snes (utilities/rotated_bc.py), so " "the deadline cannot reach it and the guard would be silently inert." ) @@ -1325,9 +1327,11 @@ class SolverBaseClass(uw_object): ``consistent_jacobian="continuation"`` the cap applies to EACH stage (Picard then Newton), so one probe may run up to twice ``max_nl_its``. """ - if getattr(self, "_rotated_freeslip_bcs", None): + if getattr(self, "_rotated_freeslip_bcs", None) \ + or getattr(self, "_fault_contact_faults", None): raise NotImplementedError( - "estimate_difficulty() is not available with rotated free-slip BCs: " + "estimate_difficulty() is not available with rotated free-slip / " + "fault-contact BCs: " "that path solves outside self.snes (utilities/rotated_bc.py), so the " "iteration cap and resume anchor cannot be applied to it." ) @@ -5663,6 +5667,13 @@ class SNES_Stokes_SaddlePt(SolverBaseClass): self._rotated_freeslip_bcs = [] self._rotated_freeslip_datum = {} self._rotated_freeslip_info = None + # Split-fault interface conditions (add_fault_bc): fault names whose + # coincident DOF pairs carry a contact, and the interface viscosity + # per fault (0 = frictionless). Non-empty => solve() takes the rotated + # path, where utilities/fault_contact.py supplies the pair blocks and + # the interface operator. + self._fault_contact_faults = [] + self._fault_interface_viscosity = {} # Give the Lagrange-multiplier (lambda) block its own viscosity-scaled # Schur preconditioner. The constraint Schur complement S_lambda = C A^-1 C^T # scales as 1/mu (since A ~ mu K), exactly like the pressure Schur S_p ~ mu^-1 M_p @@ -5905,6 +5916,45 @@ class SNES_Stokes_SaddlePt(SolverBaseClass): self.is_setup = False return + def add_fault_bc(self, conds=0, boundary=None): + r"""Interface condition on a split-node fault (value-first). + + ``boundary`` names a fault split by ``Mesh.add_fault`` (or + ``fault_split.split_fault``); the mesh carries its coincident DOF + pairing. The no-opening constraint :math:`[\mathbf v]\cdot\hat n = 0` + is always imposed strongly; ``conds`` sets the tangential law: + + * ``conds = 0`` — frictionless (perfectly slippery): zero shear + traction, the slip emerges (the stress-driven crack). + * ``conds`` > 0 — viscous interface :math:`\tau = \eta_f V` with + ``conds`` = :math:`\eta_f` (bulk viscosity per unit length; the + zero-thickness limit of a band of viscosity :math:`\eta_b` and + width :math:`w` is :math:`\eta_f = \eta_b/w`). ``conds`` large + removes the fault (only the JUMP is penalised — nothing becomes + rigid). + + The solve then takes the rotated strong-constraint path + (``utilities/rotated_bc.py`` with the pair blocks of + ``utilities/fault_contact.py``); ``guard()`` / + ``estimate_difficulty()`` are unavailable, as for rotated free-slip. + Slip and leak per coincident pair afterwards: + ``fault_contact.fault_slip(solver, boundary, + solver._rotated_freeslip_info)``. + """ + from underworld3.utilities import fault_contact + + if not isinstance(boundary, str): + raise TypeError( + f"add_fault_bc() requires the fault's boundary name string; " + f"got {type(boundary).__name__}") + eta_f = float(conds) + if eta_f == 0.0: + fault_contact.add_frictionless_fault_bc(self, boundary) + else: + fault_contact.add_viscous_fault_bc(self, eta_f, boundary) + self.is_setup = False + return + def _residual_is_nonlinear(self, tol=1e-8): r"""True if the Stokes residual is nonlinear in the unknowns :math:`(v, p)` — i.e. the assembled Jacobian depends on the solution, so Newton / Picard @@ -8679,7 +8729,7 @@ class SNES_Stokes_SaddlePt(SolverBaseClass): # Rotated strong free-slip: delegate to the rotated_bc module (per-node DOF # rotation + strong v_n=0 + reaction=sigma_nn). Handles the whole assemble/ # solve/rotate-back/gauge-removal; stashes info for boundary_normal_traction. - if self._rotated_freeslip_bcs: + if self._rotated_freeslip_bcs or self._fault_contact_faults: # Run the same pre-solve preamble as the standard path so the pointwise # functions see the DM time, the auxiliary vector, and updated constants # (needed for problems whose coefficients live in auxiliary fields). This diff --git a/src/underworld3/discretisation/discretisation_mesh.py b/src/underworld3/discretisation/discretisation_mesh.py index 3580d125..cf34c05f 100644 --- a/src/underworld3/discretisation/discretisation_mesh.py +++ b/src/underworld3/discretisation/discretisation_mesh.py @@ -7423,6 +7423,33 @@ def add_conforming_surface(self, surface, snap_frac=0.10, verbose=False, self._registered_children.add(child) return child + def add_fault(self, faults, verbose=False): + """Cut AND split one or more faults; return the split mesh. + + The split-node fault pipeline in one call: each fault becomes a + genuine velocity discontinuity — a conforming facet chain whose + nodes are duplicated, with boundaries ``Plus`` / + ``Minus`` and the coincident DOF pairing recorded. Interface + conditions then go through ``solver.add_fault_bc(conds, name)`` + (``conds = 0`` frictionless, ``conds`` > 0 a viscous interface) and + an ordinary ``solve()``. + + ``faults`` is a ``Surface``, a ``(name, points)`` pair, or a + sequence of either (a network — cut all, then split all). Each + fault is one open polyline with both tips strictly inside the + domain; segments must not share vertices, so branches and + crossings are represented as OFFSET segments (a one-to-two-cell + ligament). The result is standalone — no geometric-MG tail, since + the coarse levels do not carry the fault (see + :meth:`add_conforming_surface`); solvers take their + algebraic-multigrid defaults. + + Implementation and design: ``underworld3.utilities.fault_split`` + and ``docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md``. + """ + from underworld3.utilities.fault_split import add_fault + return add_fault(self, faults, verbose=verbose) + def adapt(self, metric_field, max_levels=None, node_budget=None, builder=None, adapter=None, engine=None, verbose=False, diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py index dc9d6f84..aa80e811 100644 --- a/src/underworld3/utilities/fault_split.py +++ b/src/underworld3/utilities/fault_split.py @@ -484,6 +484,107 @@ def v_new(x): return new, point_map, clone_map +def add_fault(mesh, faults, verbose=False): + """Cut AND split one or more faults into a mesh; return the split Mesh. + + The one-call form of the split-node pipeline: for each fault, the tips + are placed onto mesh vertices, the mesh is cut so the fault becomes a + conforming facet chain, and the chain is split into a genuine + discontinuity with boundaries ``Plus`` / ``Minus`` and the + coincident DOF pairing recorded. Slip conditions then go through + ``solver.add_fault_bc(conds, name)`` and an ordinary ``solve()``. + + Parameters + ---------- + mesh : Mesh + The mesh to fault — typically an adapted child already refined + toward the fault. Not modified; the fault position stays a design + variable (re-call on the base when it moves). + faults : Surface, (name, points), or a sequence of either + Each fault is a single open polyline with both tips strictly inside + the domain. A sequence is a NETWORK: every fault is cut first, then + every fault is split, so disjoint (offset-junction) networks work in + one call. Segments must not share vertices — represent a branch or + crossing as offset segments (a ligament of one or two local cell + sizes), the J0 pattern of the deployment design. + verbose : bool, optional + Report each cut and split. + + Returns + ------- + Mesh + The split mesh, carrying every fault's side boundaries and pairing. + """ + from enum import Enum + + from underworld3.discretisation import Mesh + from underworld3.meshing.surfaces import (Surface, + _fault_collect_polylines) + from underworld3.utilities.line_cut import (cut_along_lines, + pull_vertex_onto) + + if isinstance(faults, (Surface, tuple)) or ( + hasattr(faults, "name") and hasattr(faults, "control_points")): + faults = [faults] + + segments = [] + for entry in faults: + if isinstance(entry, tuple) and len(entry) == 2 \ + and isinstance(entry[0], str): + name, points = entry + polylines = [np.asarray(points, dtype=float)] + else: + name = entry.name + polylines = [np.array([segs[0][0]] + [b for _a, b in segs]) + for segs in _fault_collect_polylines(entry)] + if len(polylines) != 1: + raise ValueError( + f"fault {name!r} holds {len(polylines)} polylines; a fault " + "segment is ONE open polyline — pass a sequence of " + "single-segment faults for a network.") + segments.append((name, polylines[0])) + + # One boundary value per fault, minted with _boundaries_with's rule + # (first free ordinary value, stepped past anything taken). + members = {b.name: b.value for b in mesh.boundaries} + values = {} + for name, _poly in segments: + if name in members: + raise ValueError( + f"this mesh already has a boundary called {name!r}.") + taken = set(members.values()) + ordinary = [v for v in taken if v < 666] + candidate = (max(ordinary) + 1) if ordinary else 1 + while candidate in taken: + candidate += 1 + members[name] = values[name] = candidate + + dm = mesh.dm + for name, poly in segments: + dm = pull_vertex_onto(dm, np.vstack([poly[0], poly[-1]])) + dm, info = cut_along_lines(dm, [poly], label=name, + label_value=values[name]) + if verbose: + uw.pprint(f"[add_fault {name!r}] {info['n_cut_edges']} facets, " + f"min angle {info['min_angle']:.2f} deg") + + cut = Mesh(dm, simplex=mesh.dm.isSimplex(), + coordinate_system_type=mesh.CoordinateSystem.coordinate_type, + qdegree=mesh.qdegree, + boundaries=Enum("boundaries", members), verbose=False) + cut.parent = mesh + cut._relationship_kind = "refinement" + cut._refine_dofs_coincide = False + cut.regions = mesh.regions + cut._parent_mesh_version = mesh._mesh_version + mesh._registered_children.add(cut) + + out = cut + for name, _poly in segments: + out = split_fault(out, name, verbose=verbose) + return out + + def _boundaries_with_sides(mesh, name): """The mesh's boundary enum extended with ``Plus`` / ``Minus``. @@ -584,7 +685,22 @@ def split_fault(mesh, name, verbose=False): # pairing — the sides are geometrically coincident, so no coordinate # query can ever recover it — and it is what a fault interface condition # (slip constraint, friction) pairs degrees of freedom with. - child._fault_point_pairs = getattr(mesh, "_fault_point_pairs", {}).copy() + # + # Splitting renumbers the whole chart, so PRIOR faults' pairings are + # carried through point_map rather than copied verbatim — copied ids + # would silently index the wrong points on the new mesh. A prior fault's + # points always survive this split (only this fault's minus spokes are + # re-homed), asserted rather than assumed. + child._fault_point_pairs = {} + for prior, pairs in getattr(mesh, "_fault_point_pairs", {}).items(): + remapped = {int(point_map[qm - pStart]): int(point_map[qp - pStart]) + for qm, qp in pairs.items()} + if any(q < 0 for kv in remapped.items() for q in kv): + raise RuntimeError( + f"fault_split internal: splitting {name!r} dropped a point " + f"of the prior fault {prior!r}'s pairing — the faults are " + "not disjoint.") + child._fault_point_pairs[prior] = remapped child._fault_point_pairs[name] = { int(q_minus): int(point_map[old_pt - pStart]) for q_minus, old_pt in clone_map.items() diff --git a/tests/test_0847_fault_api.py b/tests/test_0847_fault_api.py new file mode 100644 index 00000000..b746e84f --- /dev/null +++ b/tests/test_0847_fault_api.py @@ -0,0 +1,120 @@ +"""The deployed fault interface: ``Mesh.add_fault`` + ``solver.add_fault_bc`` ++ plain ``solve()``. + +The user-facing pipeline over the split-node backend, asserted end to end: + +- one call faults the mesh (tips placed, cut, split, pairing recorded) from + either a ``(name, points)`` pair or a ``uw.meshing.Surface``; +- ``add_fault_bc(0, name)`` is the frictionless contact, ``add_fault_bc + (eta_f, name)`` the viscous interface, and an ORDINARY ``solve()`` + dispatches to the rotated fault path — no special driver in user code; +- a two-segment offset network (the J0 junction pattern of the deployment + design) works in one ``add_fault`` call: both faults slip, no opening + anywhere; +- the guard/difficulty probes refuse loudly on the fault path, exactly as + they do for rotated free-slip. + +The physics itself (crack profile, compliance family) is validated in +``test_0846_fault_contact.py``; here the assertions are that the INTERFACE +delivers the same behaviour. +""" +import numpy as np +import pytest + +import underworld3 as uw +from underworld3.utilities.fault_contact import fault_slip + +pytestmark = [pytest.mark.level_1, pytest.mark.tier_b] + +TIP_A = np.array([0.30, 0.45]) +TIP_B = np.array([0.70, 0.55]) +HALF = 0.5 * np.linalg.norm(TIP_B - TIP_A) + + +def _box(cell_size=1 / 24): + return uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), + cellSize=cell_size, regular=False, qdegree=2) + + +def _shear_stokes(mesh, tag): + x, y = mesh.X + v = uw.discretisation.MeshVariable(f"v{tag}", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable(f"p{tag}", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + return stokes + + +def test_one_call_fault_and_plain_solve(): + """(name, points) -> add_fault -> add_fault_bc(0) -> solve().""" + split = _box().add_fault(("Flt", np.vstack([TIP_A, TIP_B]))) + assert "FltPlus" in [b.name for b in split.boundaries] + assert "Flt" in split._fault_point_pairs + + stokes = _shear_stokes(split, "A") + stokes.add_fault_bc(0, "Flt") + stokes.solve() + + info = stokes._rotated_freeslip_info + assert info is not None and info["converged"] + _s, V, leak = fault_slip(stokes, "Flt", info) + assert np.abs(leak).max() < 1e-13 + # the frictionless crack, as in test_0846 + assert 0.4 * HALF < np.abs(V).max() < 1.05 * HALF + + # the probes that cannot reach the rotated path refuse loudly + with pytest.raises(NotImplementedError, match="fault-contact"): + stokes.guard(wall_per_step=10.0) + with pytest.raises(NotImplementedError, match="fault-contact"): + stokes.estimate_difficulty(2) + + +def test_viscous_law_through_the_solver_method(): + split = _box().add_fault(("Flt", np.vstack([TIP_A, TIP_B]))) + + peaks = {} + for tag, eta_f in (("free", 0.0), ("visc", 1.0 / HALF)): + stokes = _shear_stokes(split, tag) + stokes.add_fault_bc(eta_f, "Flt") + stokes.solve() + _s, V, _leak = fault_slip(stokes, "Flt", + stokes._rotated_freeslip_info) + peaks[tag] = float(np.abs(V).max()) + # eta_f = eta/a sits mid-family (the measured compliance curve) + assert 0.15 * peaks["free"] < peaks["visc"] < 0.9 * peaks["free"] + + +def test_surface_object_input(): + base = _box() + surface = uw.meshing.Surface("Flt", base, np.vstack([TIP_A, TIP_B])) + split = base.add_fault(surface) + assert "FltMinus" in [b.name for b in split.boundaries] + assert len(split._fault_point_pairs["Flt"]) > 0 + + +def test_offset_network_in_one_call(): + """The J0 junction pattern: two en-echelon segments, one add_fault.""" + A = ("FltA", np.array([[0.20, 0.42], [0.48, 0.49]])) + B = ("FltB", np.array([[0.55, 0.52], [0.82, 0.59]])) + split = _box().add_fault([A, B]) + for name in ("FltA", "FltB"): + assert f"{name}Plus" in [b.name for b in split.boundaries] + assert len(split._fault_point_pairs[name]) > 0 + + stokes = _shear_stokes(split, "N") + stokes.add_fault_bc(0, "FltA") + stokes.add_fault_bc(0, "FltB") + stokes.solve() + info = stokes._rotated_freeslip_info + assert info["converged"] + for name in ("FltA", "FltB"): + _s, V, leak = fault_slip(stokes, name, info) + assert np.abs(leak).max() < 1e-13, f"{name} opened" + assert np.abs(V).max() > 0.02, f"{name} does not slip" From 3900a0e3e6296989eed53b5931dd0a1b2b722534 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 20:46:03 +1000 Subject: [PATCH 07/60] Refine the split's seam rules: near-seam faults split, crossings are named MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The blanket refusal (any fault-fan point shared) was far stricter than the invariant requires. What the rank-local split actually needs is that every DUPLICATED vertex owns its whole cell fan — and an UNSHARED vertex always does (any cell touching it from another rank would make it shared), which also keeps every re-homed spoke rank-local. So the rules become: a support-1 facet in a fault vertex's star is the domain boundary only if it is UNSHARED (on a seam every facet looks one-sided locally); and the split refuses only a CHAIN VERTEX on the seam — a seam crossing — with a message naming the crossing milestone. Faults may now run arbitrarily close to a partition seam. np=2: a fault reaching toward the box centre (refused by the old rule) splits cleanly with zero star-forest drift; np=3 lands a chain vertex on a seam and gets the collective crossing refusal. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_split.py | 61 +++++++++++-------- .../ptest_0845_fault_split_parallel.py | 22 +++++++ 2 files changed, 56 insertions(+), 27 deletions(-) diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py index aa80e811..c074663c 100644 --- a/src/underworld3/utilities/fault_split.py +++ b/src/underworld3/utilities/fault_split.py @@ -59,7 +59,7 @@ _rebuild_point_sf, _shared_points, _write_coordinates) -def _fault_chain(dm, fault_edges, X, vS): +def _fault_chain(dm, fault_edges, X, vS, shared, pStart): """The fault as an ordered vertex path, tip to tip. Returns ``(problem, chain)`` where ``problem`` is ``None`` or an @@ -67,6 +67,16 @@ def _fault_chain(dm, fault_edges, X, vS): in walk order, starting from the tip lower in coordinate order so the walk — and with it the Plus/Minus sides — is a function of the geometry, not of label-stratum order. + + ``shared`` (chart-indexed rank-sharing flags) refines the two boundary + rules: a support-1 facet in a fault vertex's star is the DOMAIN boundary + only if it is unshared — on a partition seam every facet is locally + one-sided, and a fault may run arbitrarily close to a seam. What it may + not yet do is have a CHAIN VERTEX on the seam: an unshared vertex owns + its whole cell fan (any cell touching it would make it shared), so every + replica and every re-homed spoke stays rank-local; a shared chain vertex + is a seam crossing, which needs the replica-pair star-forest extension + (deployment design, milestone 2) and is refused until that lands. """ eS, eE = dm.getDepthStratum(1) @@ -92,18 +102,31 @@ def _fault_chain(dm, fault_edges, X, vS): "several fragments, not a single open chain."), None # The fault must be strictly interior. An edge with a single support cell - # is a domain-boundary facet; one in the star of any fault vertex means the - # slit would reach the boundary, where the tip-clamping argument fails. + # is a domain-boundary facet — unless it is SHARED, in which case it is a + # partition-seam facet that merely looks one-sided locally. One in the + # star of any fault vertex means the slit would reach the boundary, where + # the tip-clamping argument fails. for v in nbr: star = dm.getTransitiveClosure(v, useCone=False)[0] for p in star: p = int(p) - if eS <= p < eE and len(dm.getSupport(p)) != 2: + if eS <= p < eE and len(dm.getSupport(p)) != 2 \ + and not shared[p - pStart]: return (ValueError, "fault_split: the fault touches the domain boundary. " "Only strictly interior faults, with both tips inside " "the mesh, are supported in this version."), None + # No chain vertex on the seam: an unshared vertex owns its whole fan, so + # the split stays rank-local; a shared one is a seam crossing. + for v in nbr: + if shared[v - pStart]: + return (RuntimeError, + "fault_split: the fault has a vertex on the partition " + "seam (a seam crossing). Crossing support is the next " + "milestone of the deployment design; until then, " + "repartition or keep the fault inside one rank."), None + start = min(tips, key=lambda t: (float(X[t - vS][0]), float(X[t - vS][1]), t)) chain, prev, cur = [start], None, start @@ -287,32 +310,16 @@ def split_along_label(dm, name, value, plus_name, plus_value, fault_edges = [int(p) for p in stratum.getIndices() if eS <= int(p) < eE] - problem, chain = (None, None) - if fault_edges: - problem, chain = _fault_chain(dm, fault_edges, X, vS) - - # COLLECTIVE, and reached on every rank whatever the local verdict so far: - # the seam flags and the cell triples are needed for the rebuild anyway, - # and computing them before any refusal keeps every rank in step. + # COLLECTIVE, and reached on every rank whatever the local verdict: + # the sharing flags feed the chain validation (seam facets are not the + # domain boundary; a shared chain vertex is a crossing) and the cell + # triples feed the rebuild. shared = _shared_points(dm) - verts, frozen = _cell_vertices_and_seam(dm, X, shared) + verts, _frozen = _cell_vertices_and_seam(dm, X, shared) - # The seam verdict is taken from the facet cones alone, independent of the - # chain checks, and OUTRANKS them: a fault crossing the seam presents to - # each rank as a broken chain, so the fragments are the symptom and the - # seam is the diagnosis. + problem, chain = (None, None) if fault_edges: - fault_vertices = {int(p) for e in fault_edges for p in dm.getCone(e)} - for v in fault_vertices: - star = dm.getTransitiveClosure(v, useCone=False)[0] - if any(frozen[int(p) - cS] for p in star - if cS <= int(p) < cE): - problem = (RuntimeError, - "fault_split: the fault's cell fans touch the " - "partition seam. This version refuses to split " - "across ranks — repartition, or place the fault " - "inside one rank's subdomain.") - break + problem, chain = _fault_chain(dm, fault_edges, X, vS, shared, pStart) side_of_cell, substitutions = {}, {} if problem is None and fault_edges: diff --git a/tests/parallel/ptest_0845_fault_split_parallel.py b/tests/parallel/ptest_0845_fault_split_parallel.py index 32b171cb..04de0813 100644 --- a/tests/parallel/ptest_0845_fault_split_parallel.py +++ b/tests/parallel/ptest_0845_fault_split_parallel.py @@ -171,6 +171,28 @@ def test_a_rank_interior_fault_splits_cleanly(): f"{counts[f'{FAULT}Plus']} fault facets cleanly") +def test_a_fault_may_run_close_to_the_seam(): + """The refined seam rule: only a CHAIN VERTEX on the seam refuses. + + A fault whose cell fans merely touch the seam is rank-local in every + point the split moves (an unshared vertex owns its whole fan), so it + must split cleanly — the original blanket star-based refusal rejected + these. The fault below reaches toward the box centre, where the np=2/3 + partitions put their seams; whichever outcome the partition produces + must be collective, and a success must be a valid slit. + """ + dm = _cut((np.array([0.10, 0.12]), np.array([0.46, 0.22]))) + outcome, result = _attempt(dm) + outcomes = uw.mpi.comm.allgather(outcome) + assert len(set(outcomes)) == 1, f"outcomes {outcomes} disagree" + if outcomes[0] == "seam": + pytest.skip(f"a chain vertex landed on the np={uw.mpi.size} seam; " + "the crossing milestone will lift this") + out, _pm, _cm = result + assert _sf_coordinate_drift(out) == 0.0 + assert _owned_euler(out) == 0 + + def test_a_seam_crossing_fault_is_refused_on_every_rank(): dm = _cut(SPANNING) outcome, _result = _attempt(dm) From c680e010505a0ec19f8cbae46ea2ef0f5d6879c0 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 21:01:22 +1000 Subject: [PATCH 08/60] Seam crossings: a fault may now cross partition boundaries MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The seam-vertex crossing rule of the deployment design, end to end. A crossing is a shared chain ENDPOINT whose global fault-facet count is 2 (an SF-sum of owned facets — shared facets would double-count); it gets a replica via an OPEN-fan walk (anticlockwise from the one local fault neighbour to the fan's dead end sweeps exactly the left of the directed chain, with the other rank's fault direction inside the gap), under a globally consistent chain orientation passed down from the fault polyline — fragments cannot use the lexicographic-tip rule, each rank would pick its own. The star-forest rebuild gains a second broadcast carrying each point's replica/replacement index, so a leaf rank associates ITS copy of a duplicated shared point with the owner's: one keyed entry per crossing vertex, plus the re-homed seam spokes, with hard errors on any one-sided decision. The existing compacted-chart path is untouched (reconnect parallel suite stays green). Mesh.add_fault manufactures the clean crossing the rule requires: an organic cut STRADDLES the seam with a facet held by both ranks (refused, with its own message), so add_fault intersects the polyline with the seam edges and pulls a SHARED vertex onto each crossing point — preferring vertices shared by exactly two ranks (corners are refused downstream), capped at the local cell scale so the pull cannot invert cells that the cut would then reject. Refused, collectively, with named messages: junctions on the seam, crossings on three-rank corners, faults touching the seam without crossing, and crossing splits without a global orientation. Interface trace-mass assembly now allows off-rank rows (a crossing pair is owned across the seam; PETSc communicates stashed entries). np=2: all four parallel tests including a frictionless solve slipping across the ranks with machine-zero opening; np=4: crossing passes; np=3: this partition's geometry draws the honest collective refusals. Serial suites and the reconnect parallel suite unchanged. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_contact.py | 5 +- src/underworld3/utilities/fault_split.py | 336 ++++++++++++++++-- src/underworld3/utilities/reconnect.py | 95 ++++- .../ptest_0845_fault_split_parallel.py | 63 +++- 4 files changed, 449 insertions(+), 50 deletions(-) diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index df743199..10098067 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -268,7 +268,10 @@ def slip_row(q_plus): - cvec[csec.getOffset(vb) // dim])) rows = [slip_row(va), slip_row(f), slip_row(vb)] for i, gi in enumerate(rows): - if gi is None or not (rstart <= gi < rend): + # off-rank rows are legal: at a seam crossing the pair is + # owned across the seam, and PETSc communicates stashed + # entries at assembly. + if gi is None: continue for j, gj in enumerate(rows): if gj is None: diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py index c074663c..82b1841f 100644 --- a/src/underworld3/utilities/fault_split.py +++ b/src/underworld3/utilities/fault_split.py @@ -51,6 +51,7 @@ """ import numpy as np +from mpi4py import MPI from petsc4py import PETSc import underworld3 as uw @@ -59,7 +60,32 @@ _rebuild_point_sf, _shared_points, _write_coordinates) -def _fault_chain(dm, fault_edges, X, vS, shared, pStart): +def _sf_sum(dm, arr): + """Sum a chart-indexed int32 array over the point star-forest, in place. + + The same-array leaf/root convention proven by ``edge_split._sf_logical_or``; + used to give every rank the GLOBAL fault-facet count at a shared vertex, + which is what distinguishes a seam crossing (2) from a tip resting on the + seam (1) and a junction on the seam (>2). COLLECTIVE — reached on every + rank, gated only on communicator size. + """ + if uw.mpi.size == 1: + return arr + sf = dm.getPointSF() + try: + nroots, _il, _ir = sf.getGraph() + except (ValueError, TypeError): + return arr + if nroots < 0: + return arr + sf.reduceBegin(MPI.INT32_T, arr, arr, MPI.SUM) + sf.reduceEnd(MPI.INT32_T, arr, arr, MPI.SUM) + sf.bcastBegin(MPI.INT32_T, arr, arr, MPI.REPLACE) + sf.bcastEnd(MPI.INT32_T, arr, arr, MPI.REPLACE) + return arr + + +def _fault_chain(dm, fault_edges, X, vS, shared, pStart, orientation=None): """The fault as an ordered vertex path, tip to tip. Returns ``(problem, chain)`` where ``problem`` is ``None`` or an @@ -86,7 +112,9 @@ def _fault_chain(dm, fault_edges, X, vS, shared, pStart): nbr.setdefault(a, []).append(b) nbr.setdefault(b, []).append(a) - if len(fault_edges) < 2: + endpoint_shared = any( + shared[v - pStart] for v, ns in nbr.items() if len(ns) == 1) + if len(fault_edges) < 2 and not endpoint_shared: return (ValueError, "fault_split: the chain has a single facet, so no interior " "vertex exists to split. A one-facet fault cannot slip."), None @@ -117,15 +145,18 @@ def _fault_chain(dm, fault_edges, X, vS, shared, pStart): "Only strictly interior faults, with both tips inside " "the mesh, are supported in this version."), None - # No chain vertex on the seam: an unshared vertex owns its whole fan, so - # the split stays rank-local; a shared one is a seam crossing. - for v in nbr: - if shared[v - pStart]: + # A shared chain vertex is legal ONLY as a local endpoint — the seam + # crossing, where this rank holds one of the two fault facets and the + # other rank the other. A shared vertex with BOTH fault facets local has + # its cell fan divided by the seam without the fault crossing it, and no + # rank could walk the fan. + for v, ns in nbr.items(): + if shared[v - pStart] and len(ns) > 1: return (RuntimeError, - "fault_split: the fault has a vertex on the partition " - "seam (a seam crossing). Crossing support is the next " - "milestone of the deployment design; until then, " - "repartition or keep the fault inside one rank."), None + "fault_split: a fault vertex sits on the partition seam " + "with both its facets on this rank — the fault touches " + "the seam without crossing it. Move the fault or the " + "crossing point."), None start = min(tips, key=lambda t: (float(X[t - vS][0]), float(X[t - vS][1]), t)) @@ -144,10 +175,25 @@ def _fault_chain(dm, fault_edges, X, vS, shared, pStart): return (ValueError, "fault_split: the labelled facets are not one connected " "chain. Cut and split one polyline at a time."), None + + # Globally consistent chain direction: a rank holding only a FRAGMENT of + # a seam-crossing fault cannot use the lexicographic-tip rule (each rank + # would pick its own), so the caller passes the fault's global direction + # and every fragment is oriented against it. The Plus side is then the + # LEFT of the same directed line on every rank. + if orientation is not None and len(chain) >= 2: + d = np.asarray(orientation, dtype=float).ravel()[:2] + if float((X[chain[-1] - vS] - X[chain[0] - vS]) @ d) < 0.0: + chain.reverse() + elif endpoint_shared: + return (RuntimeError, + "fault_split: a seam-crossing fault needs the fault's global " + "orientation to keep Plus/Minus consistent across ranks — " + "pass orientation= (Mesh.add_fault does this itself)."), None return None, chain -def _take_sides(dm, chain, verts, cS, cE): +def _take_sides(dm, chain, verts, cS, cE, crossings=()): """Classify every fault-fan cell as Plus (+1) or Minus (-1). At each interior chain vertex the incident cells are walked as a fan, @@ -163,8 +209,65 @@ def _take_sides(dm, chain, verts, cS, cE): Returns ``(problem, side_of_cell, substitutions)`` where ``substitutions`` maps a Minus cell to the set of chain vertices it must replace with replicas. + + ``crossings`` lists chain ENDPOINTS that are genuine seam crossings: + globally interior vertices whose fan is divided between two ranks. Their + local fan is OPEN — bounded by the one local fault facet and the seam — + so the walk cannot close; instead, walking anticlockwise from the local + fault neighbour ``u`` to the fan's dead end sweeps exactly the LEFT side + of the ray v->u, and the missing (other-rank) fault direction lies inside + the gap. Whether that left sweep is Plus depends on whether ``u`` is + forward or backward along the globally oriented chain. """ side_of_cell, substitutions = {}, {} + + def _fan_step(v, fan): + step = {} + for c in fan: + tri = [int(t) for t in verts[c - cS]] + j = tri.index(v) + pp, qq = tri[(j + 1) % 3], tri[(j + 2) % 3] + if pp in step: + return None + step[pp] = (qq, c) + return step + + def _assign(cells, side, v): + for c in cells: + if side_of_cell.setdefault(c, side) != side: + return (ValueError, + "fault_split: a cell meets the fault from both " + "sides (the chain kinks through it). Refine the " + "mesh near the kink and re-cut.") + if side < 0: + substitutions.setdefault(c, set()).add(v) + return None + + for v in (crossings or ()): + u = chain[1] if v == chain[0] else chain[-2] + u_is_forward = (v == chain[0]) + fan = [int(p) for p in dm.getTransitiveClosure(v, useCone=False)[0] + if cS <= int(p) < cE] + step = _fan_step(v, fan) + if step is None: + return (ValueError, + "fault_split: inconsistent fan orientation at a seam " + "crossing."), None, None + swept, cur, guard = [], u, 0 + while cur in step and guard <= len(step): + cur, c = step[cur] + swept.append(c) + guard += 1 + if cur == u and swept: + return (ValueError, + "fault_split: the fan at a seam-crossing vertex closes " + "on this rank — it is not a crossing."), None, None + rest = [c for c in fan if c not in set(swept)] + left, right = (swept, rest) + plus, minus = (left, right) if u_is_forward else (right, left) + problem = _assign(plus, 1, v) or _assign(minus, -1, v) + if problem is not None: + return problem, None, None for i in range(1, len(chain) - 1): v, before, after = chain[i], chain[i - 1], chain[i + 1] fan = [int(p) for p in dm.getTransitiveClosure(v, useCone=False)[0] @@ -198,19 +301,12 @@ def _take_sides(dm, chain, verts, cS, cE): "side, which cannot happen on a manifold interior " "chain."), None, None - for cells, side in ((plus_arc, 1), (minus_arc, -1)): - for c in cells: - if side_of_cell.setdefault(c, side) != side: - # A cell can meet the fault at two chain vertices and be - # walked onto opposite sides only when the chain kinks - # through it (a chord cell). No side assignment is right - # for such a cell, so it is refused, not resolved. - return (ValueError, - "fault_split: a cell meets the fault from both " - "sides (the chain kinks through it). Refine the " - "mesh near the kink and re-cut."), None, None - for c in minus_arc: - substitutions.setdefault(c, set()).add(v) + # A cell can meet the fault at two chain vertices and be walked + # onto opposite sides only when the chain kinks through it (a chord + # cell); _assign refuses rather than resolves. + problem = _assign(plus_arc, 1, v) or _assign(minus_arc, -1, v) + if problem is not None: + return problem, None, None return None, side_of_cell, substitutions @@ -248,7 +344,8 @@ def _clone_labels(new, dm, clone_map): def split_along_label(dm, name, value, plus_name, plus_value, - minus_name, minus_value, verbose=False): + minus_name, minus_value, orientation=None, + verbose=False): """Duplicate the interior vertices of a labelled facet chain. Builds a fresh plex in which the cells on the Minus side of the chain are @@ -317,14 +414,64 @@ def split_along_label(dm, name, value, plus_name, plus_value, shared = _shared_points(dm) verts, _frozen = _cell_vertices_and_seam(dm, X, shared) + # Global fault-facet count per vertex (COLLECTIVE, reached on every + # rank): distinguishes, at a shared chain endpoint, a seam CROSSING + # (2 facets worldwide) from a tip resting on the seam (1) and a junction + # on the seam (>2). + local_count = np.zeros(pEnd - pStart, dtype=np.int32) + try: + _nr, _il, _ir = dm.getPointSF().getGraph() + leafset = set() if _il is None else {int(q) for q in _il} + except (ValueError, TypeError): + leafset = set() + for e in fault_edges: + # owned facets only: a facet shared across the seam is held by both + # ranks and would be double-counted by the star-forest sum. + if int(e) in leafset: + continue + for q in dm.getCone(e): + local_count[int(q) - pStart] += 1 + global_count = _sf_sum(dm, local_count.copy()) + problem, chain = (None, None) if fault_edges: - problem, chain = _fault_chain(dm, fault_edges, X, vS, shared, pStart) + problem, chain = _fault_chain(dm, fault_edges, X, vS, shared, pStart, + orientation=orientation) + + crossings = [] + if problem is None and chain: + for v in {chain[0], chain[-1]}: + if not shared[v - pStart]: + continue + total = int(global_count[v - pStart]) + if total == 2: + crossings.append(v) + elif total > 2: + problem = (ValueError, + "fault_split: a junction sits on the partition " + "seam. Junctions are refused, and doubly so on a " + "seam — offset the segments (the J0 pattern).") + break + # total == 1: a true tip resting on the seam — unsplit, allowed. + + # A crossing is legal only when exactly the two fault-carrying ranks + # share the vertex: a third rank holding cells there has no local fault + # structure to classify them with, and its cells would stay welded. + if problem is None: + third = ((global_count[vS - pStart:vE - pStart] == 2) + & (local_count[vS - pStart:vE - pStart] == 0) + & (shared[vS - pStart:vE - pStart] > 0)) + if bool(third.any()): + problem = (RuntimeError, + "fault_split: a seam crossing lands on a vertex " + "shared with a rank that carries none of the fault — " + "a corner of three or more subdomains. Move the " + "crossing point along the fault.") side_of_cell, substitutions = {}, {} if problem is None and fault_edges: problem, side_of_cell, substitutions = _take_sides( - dm, chain, verts, cS, cE) + dm, chain, verts, cS, cE, crossings=crossings) fault_pair_edge = {} for e in fault_edges: @@ -372,7 +519,11 @@ def split_along_label(dm, name, value, plus_name, plus_value, # stratum, and the edges are re-derived from the substituted cell list so # that a facet is reused — labels intact — exactly where its vertex pair # survived, and re-homed onto replicas where it did not. - interior = chain[1:-1] if chain else [] + # Replicas: the chain interior, plus any seam-crossing endpoint — the + # crossing vertex is globally interior, and its replica is created even + # when this rank's Minus arc is empty, because the OTHER rank's replica + # needs a root (or partner) to associate with. + interior = (chain[1:-1] + crossings) if chain else [] replicas_of = {v: pEnd + i for i, v in enumerate(sorted(interior))} original_of = {t: v for v, t in replicas_of.items()} @@ -482,7 +633,13 @@ def v_new(x): minus.setValue(int(e), int(minus_value)) if uw.mpi.size > 1: - _rebuild_point_sf(new, dm, point_map, at - pStart) + # The replica/replacement map rides a second broadcast so a leaf rank + # can associate ITS replica of a shared point with the owner's — the + # keyed exchange that makes a seam crossing one star-forest entry. + dup_new = np.full(pEnd - pStart, -1, dtype=np.int64) + for new_pt, old_pt in clone_map.items(): + dup_new[old_pt - pStart] = new_pt + _rebuild_point_sf(new, dm, point_map, at - pStart, dup_new=dup_new) if verbose and fault_edges: uw.pprint(f"[fault_split {name!r}] duplicated {len(interior)} " @@ -491,6 +648,111 @@ def v_new(x): return new, point_map, clone_map +def _pull_seam_vertices_onto_crossings(dm, poly): + """Move a SHARED vertex onto each fault-polyline x partition-seam + intersection; return the (possibly copied) dm. + + The seam-crossing rule needs the fault to pass through a vertex that is + already shared between the two ranks — only then are the two adjacent + fault facets rank-local and the fan halves walkable. The nearest vertex + in general is NOT shared (sharing is topology, not position), so this is + ``pull_vertex_onto`` restricted to shared vertices: intersections are + computed rank-locally on the shared (seam) edges, allgathered and + deduplicated so every rank sees the same targets, and the winning vertex + is chosen by the same global (distance, x, y) reduction — every rank + moves its own copy of the same shared vertex, keeping the coordinates of + the copies identical. COLLECTIVE; a serial run returns immediately. + """ + if uw.mpi.size == 1: + return dm + + from underworld3.utilities.reconnect import _coords, _shared_points + + shared = _shared_points(dm) + pStart, _pEnd = dm.getChart() + vS, vE = dm.getDepthStratum(0) + eS, eE = dm.getDepthStratum(1) + X = _coords(dm) + P = np.asarray(poly, dtype=float) + + def _segment_hits(a, b): + """Intersections of seam edge (a, b) with the polyline's segments.""" + hits = [] + d1 = b - a + for s0, s1 in zip(P[:-1], P[1:]): + d2 = s1 - s0 + den = d1[0] * d2[1] - d1[1] * d2[0] + if abs(den) < 1e-14: + continue + r = ((s0[0] - a[0]) * d2[1] - (s0[1] - a[1]) * d2[0]) / den + t = ((s0[0] - a[0]) * d1[1] - (s0[1] - a[1]) * d1[0]) / den + if -1e-9 <= r <= 1 + 1e-9 and -1e-9 <= t <= 1 + 1e-9: + hits.append(a + r * d1) + return hits + + local_hits = [] + for e in range(eS, eE): + if not shared[e - pStart]: + continue + a, b = (X[int(q) - vS] for q in dm.getCone(e)) + local_hits.extend(_segment_hits(np.asarray(a), np.asarray(b))) + + gathered = uw.mpi.comm.allgather( + [tuple(np.round(h, 12)) for h in local_hits]) + targets = sorted({h for rank_hits in gathered for h in rank_hits}) + if not targets: + return dm + + arr = X.copy() + # Prefer vertices shared by EXACTLY two ranks: a crossing pulled onto a + # subdomain corner (three or more holders) is refused downstream, so the + # corner vertices are excluded whenever a two-rank seam vertex exists. + # The holder count is an SF-sum of ones. + mult = _sf_sum(dm, np.ones(len(shared), dtype=np.int32)) + two_rank = np.flatnonzero((shared[vS - pStart:vE - pStart] > 0) + & (mult[vS - pStart:vE - pStart] == 2)) + # COLLECTIVE choice of candidate pool, so every rank reduces over the + # same set. Local emptiness is fine (that rank bids infinity). + if uw.mpi.comm.allreduce(len(two_rank), op=MPI.SUM) > 0: + cand = two_rank + else: + cand = np.flatnonzero(shared[vS - pStart:vE - pStart]) + every_shared = np.flatnonzero(shared[vS - pStart:vE - pStart]) + + def _nearest(pool, t): + if len(pool): + d = np.linalg.norm(arr[pool] - t, axis=1) + k = int(d.argmin()) + return (float(d[k]), float(arr[pool[k], 0]), + float(arr[pool[k], 1])) + return (np.inf, np.inf, np.inf) + + for t in targets: + t = np.asarray(t, dtype=float) + # The local cell scale at the crossing: distance to the nearest + # vertex of any kind. A pull much longer than this squashes cells + # and the cut's inverted-cell guard then refuses the whole mesh, so + # a distant two-rank vertex loses to a nearby corner vertex — the + # corner is refused DOWNSTREAM with a clear message, which beats an + # inverted-cell refusal here. + d_all = np.linalg.norm(arr - t, axis=1) + h_local = uw.mpi.comm.allreduce( + float(d_all.min()) if len(d_all) else np.inf, op=MPI.MIN) + dist, cx, cy = uw.mpi.comm.allreduce(_nearest(cand, t), op=MPI.MIN) + if dist > 3.0 * max(h_local, 1e-12): + dist, cx, cy = uw.mpi.comm.allreduce( + _nearest(every_shared, t), op=MPI.MIN) + move = np.flatnonzero((np.abs(arr[:, 0] - cx) < 1e-12) + & (np.abs(arr[:, 1] - cy) < 1e-12)) + arr[move] = t + + out = dm.clone() + cvec = out.getCoordinatesLocal() + cvec.array[:] = arr.reshape(-1) + out.setCoordinatesLocal(cvec) + return out + + def add_fault(mesh, faults, verbose=False): """Cut AND split one or more faults into a mesh; return the split Mesh. @@ -569,6 +831,13 @@ def add_fault(mesh, faults, verbose=False): dm = mesh.dm for name, poly in segments: dm = pull_vertex_onto(dm, np.vstack([poly[0], poly[-1]])) + # Manufacture CLEAN seam crossings: a shared vertex pulled exactly + # onto each fault x seam intersection, so the cut chain passes + # through a seam VERTEX with its two fault facets rank-local — the + # crossing rule's premise. Without this the cut produces a facet + # STRADDLING the seam (held by both ranks, one support each), which + # the split rightly refuses as untractable. + dm = _pull_seam_vertices_onto_crossings(dm, poly) dm, info = cut_along_lines(dm, [poly], label=name, label_value=values[name]) if verbose: @@ -587,8 +856,9 @@ def add_fault(mesh, faults, verbose=False): mesh._registered_children.add(cut) out = cut - for name, _poly in segments: - out = split_fault(out, name, verbose=verbose) + for name, poly in segments: + out = split_fault(out, name, orientation=poly[-1] - poly[0], + verbose=verbose) return out @@ -621,7 +891,7 @@ def _boundaries_with_sides(mesh, name): return Enum("boundaries", members) -def split_fault(mesh, name, verbose=False): +def split_fault(mesh, name, orientation=None, verbose=False): """Split the nodes along the conforming surface ``name``; return the mesh. The result is a new, standalone :class:`Mesh` on which every continuous FE @@ -665,7 +935,7 @@ def split_fault(mesh, name, verbose=False): mesh.dm, name, int(mesh.boundaries[name].value), plus_name, int(boundaries[plus_name].value), minus_name, int(boundaries[minus_name].value), - verbose=verbose) + orientation=orientation, verbose=verbose) child = Mesh( new_dm, diff --git a/src/underworld3/utilities/reconnect.py b/src/underworld3/utilities/reconnect.py index d809a47c..99e30798 100644 --- a/src/underworld3/utilities/reconnect.py +++ b/src/underworld3/utilities/reconnect.py @@ -740,7 +740,7 @@ def v_new(v): return new, point_map -def _rebuild_point_sf(new, dm, point_map, nroots): +def _rebuild_point_sf(new, dm, point_map, nroots, dup_new=None): """Carry the point star-forest onto a renumbered chart, in one exchange. A leaf's remote entry names the *owner's* local index for the shared point, @@ -748,8 +748,24 @@ def _rebuild_point_sf(new, dm, point_map, nroots): new numbering root-to-leaf over the star-forest that is being replaced delivers exactly that, one value per leaf. - The leaf set itself is unchanged: :func:`remove_vertices` never deletes a - shared point, so every leaf still exists and only its number has moved. + Without ``dup_new`` the leaf set is unchanged: :func:`remove_vertices` + never deletes a shared point, so every leaf still exists and only its + number has moved. + + ``dup_new`` (chart-indexed: old point -> this rank's replica or + replacement in the new chart, ``-1`` for none) is the split-fault + extension: it rides a second broadcast so a leaf rank can associate ITS + copy of a duplicated shared point with the OWNER'S — the keyed exchange + of the seam-crossing rule. Three leaf cases follow: + + * surviving point, no replica — renumbered as before; + * surviving point WITH a replica on both sides (a crossing vertex) — the + old leaf is kept and ONE new leaf is added for the replica pair; + * dropped point with a replacement on both sides (a re-homed seam + spoke) — the leaf moves to the replacement. + + Any one-sided replica or unreplaced drop is a hard error: the two ranks + of a crossing must have made the same decisions, side by side. """ pStart, pEnd = dm.getChart() sf = dm.getPointSF() @@ -761,9 +777,16 @@ def _rebuild_point_sf(new, dm, point_map, nroots): root_new = np.ascontiguousarray(point_map, dtype=np.int32) leaf_new = np.full(pEnd - pStart, -1, dtype=np.int32) # COLLECTIVE, and reached on every rank of a parallel run: a rank sharing - # nothing still has to participate or its peers block. + # nothing still has to participate or its peers block. The dup broadcast, + # when configured, must likewise run on EVERY rank of the split. sf.bcastBegin(MPI.INT32_T, root_new, leaf_new, MPI.REPLACE) sf.bcastEnd(MPI.INT32_T, root_new, leaf_new, MPI.REPLACE) + dup_remote = None + if dup_new is not None: + dup_root = np.ascontiguousarray(dup_new, dtype=np.int32) + dup_remote = np.full(pEnd - pStart, -1, dtype=np.int32) + sf.bcastBegin(MPI.INT32_T, dup_root, dup_remote, MPI.REPLACE) + sf.bcastEnd(MPI.INT32_T, dup_root, dup_remote, MPI.REPLACE) # petsc4py will not narrow an index array for us — the graph must arrive as # PETSc's own integer type or `setGraph` raises an unsafe-cast TypeError. @@ -775,17 +798,59 @@ def _rebuild_point_sf(new, dm, point_map, nroots): return leaves = np.asarray(ilocal, dtype=np.int64) - local = point_map[leaves - pStart] - remote_index = leaf_new[leaves - pStart] - if (local < 0).any() or (remote_index < 0).any(): - raise RuntimeError( - "reconnect: a shared point was deleted. The removal pass must " - "freeze the seam; see remove_vertices.") - - remote = np.empty((len(leaves), 2), dtype=PETSc.IntType) - remote[:, 0] = np.asarray(iremote).reshape(-1, 2)[:, 0] - remote[:, 1] = remote_index - new_sf.setGraph(nroots, local.astype(PETSc.IntType), remote.reshape(-1)) + owner = np.asarray(iremote).reshape(-1, 2)[:, 0] + + if dup_new is None: + local = point_map[leaves - pStart] + remote_index = leaf_new[leaves - pStart] + if (local < 0).any() or (remote_index < 0).any(): + raise RuntimeError( + "reconnect: a shared point was deleted. The removal pass must " + "freeze the seam; see remove_vertices.") + remote = np.empty((len(leaves), 2), dtype=PETSc.IntType) + remote[:, 0] = owner + remote[:, 1] = remote_index + new_sf.setGraph(nroots, local.astype(PETSc.IntType), + remote.reshape(-1)) + new.setPointSF(new_sf) + return + + out_local, out_owner, out_remote = [], [], [] + for k, p in enumerate(leaves): + i = int(p) - pStart + lp, rp = int(point_map[i]), int(leaf_new[i]) + lq, rq = int(dup_new[i]), int(dup_remote[i]) + if lp >= 0: + if rp < 0: + raise RuntimeError( + "fault_split: a shared point survived here but was " + "dropped by its owner — the two ranks of a crossing " + "disagreed.") + out_local.append(lp) + out_owner.append(int(owner[k])) + out_remote.append(rp) + if lq >= 0 or (lp < 0 and rq >= 0): + if lq < 0 or rq < 0: + raise RuntimeError( + "fault_split: a replica of a shared point exists on only " + "one side of the seam — the crossing rule requires both " + "ranks to duplicate it.") + out_local.append(lq) + out_owner.append(int(owner[k])) + out_remote.append(rq) + if lp < 0 and lq < 0: + raise RuntimeError( + "fault_split: a shared point was dropped with no " + "replacement; see the seam rules in fault_split.") + + order = np.argsort(np.asarray(out_local, dtype=np.int64)) + remote = np.empty((len(out_local), 2), dtype=PETSc.IntType) + remote[:, 0] = np.asarray(out_owner, dtype=np.int64)[order] + remote[:, 1] = np.asarray(out_remote, dtype=np.int64)[order] + new_sf.setGraph(nroots, + np.asarray(out_local, dtype=np.int64)[order] + .astype(PETSc.IntType), + remote.reshape(-1)) new.setPointSF(new_sf) diff --git a/tests/parallel/ptest_0845_fault_split_parallel.py b/tests/parallel/ptest_0845_fault_split_parallel.py index 04de0813..d7003e08 100644 --- a/tests/parallel/ptest_0845_fault_split_parallel.py +++ b/tests/parallel/ptest_0845_fault_split_parallel.py @@ -193,7 +193,10 @@ def test_a_fault_may_run_close_to_the_seam(): assert _owned_euler(out) == 0 -def test_a_seam_crossing_fault_is_refused_on_every_rank(): +def test_an_organic_cut_across_the_seam_is_refused_on_every_rank(): + """A cut made WITHOUT the crossing placement straddles the seam with a + shared facet — the configuration the split refuses (collectively) and + Mesh.add_fault exists to prevent.""" dm = _cut(SPANNING) outcome, _result = _attempt(dm) outcomes = uw.mpi.comm.allgather(outcome) @@ -203,3 +206,61 @@ def test_a_seam_crossing_fault_is_refused_on_every_rank(): assert outcomes[0] == "seam", ( "a fault spanning the box did not touch the seam; the refusal " "contract went untested") + + +def test_a_clean_crossing_splits_and_slips(): + """The seam-crossing rule end to end: add_fault pulls a shared vertex + onto the fault x seam intersection, the split duplicates it with one + keyed star-forest entry per crossing, and a frictionless solve slips + across the ranks with machine-zero opening.""" + from underworld3.utilities.fault_contact import fault_slip + + base = uw.meshing.UnstructuredSimplexBox( + minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 16, + regular=False, qdegree=2) + pts = np.array([[0.15, 0.35], [0.85, 0.65]]) + try: + split = base.add_fault(("Flt", pts)) + except RuntimeError as err: + # Collective by construction; a partition can still produce a + # genuinely refused geometry — a three-rank corner on the line, or a + # crossing placement whose pull the cut's inverted-cell guard + # rejects. Both are honest collective refusals, not hangs. + if not any(k in str(err) for k in ("seam", "corner", "inverted")): + raise + pytest.skip(f"partition refused this crossing at np={uw.mpi.size}: " + f"{err}") + + assert _sf_coordinate_drift(split.dm) == 0.0, ( + "a replica leaf does not resolve to its own coordinates — the " + "crossing's star-forest association is wrong") + assert _owned_euler(split.dm) == 0, "the slit did not open globally" + fS, fE = split.dm.getHeightStratum(1) + assert _global(sum(1 for f in range(fS, fE) + if len(split.dm.getSupport(f)) > 2)) == 0 + + x, y = split.X + v = uw.discretisation.MeshVariable("vX", split, 2, degree=2) + p = uw.discretisation.MeshVariable("pX", split, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(split, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + stokes.add_fault_bc(0, "Flt") + stokes.solve() + info = stokes._rotated_freeslip_info + assert info["converged"] + + _s, V, leak = fault_slip(stokes, "Flt", info) + leak_max = _global(float(np.abs(leak).max()) if len(leak) else 0.0, + op=MPI.MAX) + peak = _global(float(np.abs(V).max()) if len(V) else 0.0, op=MPI.MAX) + assert leak_max < 1e-12, "the crossing pair opened" + half = 0.5 * float(np.linalg.norm(pts[1] - pts[0])) + assert peak > 0.15 * half, "the fault barely slips across the seam" + uw.pprint(f"[ptest_0845] np={uw.mpi.size}: crossing slipped, " + f"peak {peak:.4f}, leak {leak_max:.1e}") From 9c7602434c59c722e0278c8d5a9365ee5506e2f6 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 21:23:25 +1000 Subject: [PATCH 09/60] Kink rule + crossing sweep + the per-equation representation policy MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The np=3/4/5 robustness sweep (crossing_sweep.py in the study directory) found one genuine rule: EVERY polyline control point needs a vertex pulled onto it — an interior kink is the same problem as a tip, and without its vertex the cut leaves the chain fragmented at the turn. add_fault now pulls all control points. Sweep results: 17/27 geometries split cleanly across np=3/4/5 with every success validated (zero star-forest drift, global Euler 0, conformity, machine-zero solve leak) and every refusal collective and categorised (three-rank corners; along-seam faults). No hangs, no invalid meshes. The deployment design gains the representation policy: the fault object is the physical entity and each equation system chooses its adapter — surface contact (this branch), volume weak/damage zone or TI director (the existing meshing/faults.py machinery on the same manifold). Default composition is different meshes per continuity class (Stokes on the split child, Darcy/thermal on the continuous parent); a shared split mesh needs a scalar weld constraint, deferred until tight coupling demands it. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- .../FAULT_CONTACT_DEPLOYMENT_2026-08.md | 38 +++++++++++++++++++ src/underworld3/utilities/fault_split.py | 6 ++- 2 files changed, 43 insertions(+), 1 deletion(-) diff --git a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md index 8add2a7e..f84edeeb 100644 --- a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md +++ b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md @@ -101,6 +101,44 @@ Still refused, deliberately: a fault running *along* a seam (facets on the seam), and junctions on a seam (first version). The current blanket seam refusal stays in place until this lands, and remains the fallback error. +## Representation policy: the fault chooses its implementation per equation + +The fault object is the PHYSICAL entity; how an equation system feels it is +a per-solver choice, and different equations on one model may choose +differently — a sharp interface for Stokes, a damage zone for Darcy flow. +The fault object supplies the ingredients; each solver picks its adapter: + +| representation | mechanism | status | +|---|---|---| +| **surface** (sharp contact) | split mesh + pair constraints, `add_fault_bc` | built (this branch) | +| **volume** (weak zone / damage) | distance field from the same manifold → viscosity, damage, permeability k(d) | exists (`meshing/faults.py`: `compute_distance_field`, `create_weakness_function`) | +| **TI weak zone** | director transfer from the manifold normals → `TransverseIsotropicFlowModel` | exists (`meshing/faults.py`: `transfer_normals`) | + +Composition across equations, two patterns: + +1. **Different meshes per continuity class (the default).** Stokes solves on + the split child; Darcy / thermal solve on the PARENT (continuous) with a + volume representation from the same manifold's distance field. No new + machinery — multi-mesh field transfer exists, and each equation gets a + mesh whose continuity matches its physics. +2. **One shared split mesh (tight coupling only).** A solver that must NOT + see the slit needs a continuity (weld) constraint: jump = 0 on its field + across every pair. For Stokes this is the measured welded limit; for a + scalar system it is a small new piece (the pair transform on a scalar + field). Build it when a tightly coupled problem actually demands one + mesh; until then pattern 1 is simpler and exact. + +## Parallel robustness (measured, np = 3/4/5) + +`~/+Simulations/fault_split_gate/crossing_sweep.py`: nine fault geometries +per rank count. 17/27 split cleanly (every success: zero star-forest drift, +global Euler 0, conformity; one frictionless solve per np with machine-zero +leak); every refusal was COLLECTIVE and categorised — three-rank corners on +the line, and faults running along a seam. No hangs, no invalid meshes, no +unclassified failures. The sweep also established the kink rule: EVERY +polyline control point needs a vertex pulled onto it, interior kinks +included — a kink is the same problem as a tip. + ## Crossing and branching faults: the three-level strategy Faults branch even where they cannot cross, and crossings evolve (an diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py index 82b1841f..87a33d91 100644 --- a/src/underworld3/utilities/fault_split.py +++ b/src/underworld3/utilities/fault_split.py @@ -830,7 +830,11 @@ def add_fault(mesh, faults, verbose=False): dm = mesh.dm for name, poly in segments: - dm = pull_vertex_onto(dm, np.vstack([poly[0], poly[-1]])) + # EVERY control point gets a vertex, not just the tips: an interior + # kink is the same problem as a tip — a distinguished point of the + # geometry that must coincide with a mesh vertex, or the cut leaves + # the chain fragmented at the turn. + dm = pull_vertex_onto(dm, np.asarray(poly, dtype=float)) # Manufacture CLEAN seam crossings: a shared vertex pulled exactly # onto each fault x seam intersection, so the cut chain passes # through a seam VERTEX with its two fault facets rank-local — the From a532dbbe0848593509d3faa6880bc36e478b8fbc Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 21:54:23 +1000 Subject: [PATCH 10/60] Nonlinear fault laws: symbolic tau(V) with the sympy-derived Newton tangent MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The interface hook graduates from a constant operator to a law layer that keeps sympy working for the fault exactly as it does for the bulk. A law is a sympy expression in fault_contact.slip_rate; its consistent tangent d tau/dV comes from sympy.diff — never hand-coded — and both are lambdified once at registration (the interface analogue of the JIT step). The _InterfaceAssembler caches the fault-trace geometry and, at EVERY Newton iterate, adds the interface force integral(tau(V) dV) to the rotated residual and the consistent tangent 2 (dtau/dV) M to the rotated operator: full Newton in V, the stiff direction. There is no Picard limitation from the hand-rolled coupling — the manual loop makes the tangent exactly dF/du; only a future reaction-fed sigma_n argument would be lagged, by choice. Tip nodes enter the quadrature with V = 0 and carry no DOF; a crossing pair's off-rank rows go through the PETSc stash. ViscousFaultLaw becomes the linear member of the same symbolic family (the welded-to-free suite passes unchanged through the general assembler); CoulombFaultLaw is the first nonlinear one, tau = mu sigma_n (2/pi) arctan(V/V0) with prescribed sigma_n. Tested against both analytic regimes on one mesh: strength below the resolved driving shear slides at the constant-stress-drop scaling of the frictionless crack; strength above it sticks, slip collapsing to the regularisation creep ~V0 — converged Newton in both. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_contact.py | 349 +++++++++++++++------ src/underworld3/utilities/rotated_bc.py | 42 +-- tests/test_0846_fault_contact.py | 64 +++- 3 files changed, 339 insertions(+), 116 deletions(-) diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index 10098067..7615b092 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -42,6 +42,8 @@ """ import numpy as np +import sympy +from petsc4py import PETSc from underworld3 import mpi @@ -97,9 +99,103 @@ def add_viscous_fault_bc(solver, conds, boundary): eta_f = float(conds) if eta_f < 0.0: raise ValueError(f"interface viscosity must be >= 0 (got {eta_f}).") - registered = dict(getattr(solver, "_fault_interface_viscosity", {})) - registered[boundary] = eta_f - solver._fault_interface_viscosity = registered + if eta_f > 0.0: + _register_law(solver, boundary, ViscousFaultLaw(eta_f)) + + +#: The canonical slip-rate symbol an interface law is written in: a fault +#: law is ``tau(slip_rate)`` as a SYMPY expression, and its consistent +#: Newton tangent is derived by ``sympy.diff`` — never hand-coded. This is +#: the same division of labour as the bulk constitutive models: the law is +#: symbolic; only the innermost trace quadrature evaluates compiled +#: (lambdified) callables. +slip_rate = sympy.Symbol(r"V_{slip}", real=True) + + +class SymbolicFaultLaw: + r"""An interface law :math:`\tau(V)` given as a sympy expression in + :data:`slip_rate`. + + The consistent tangent :math:`d\tau/dV` is derived symbolically and + both are lambdified ONCE at registration into fast numpy callables — + the interface analogue of the JIT step for bulk kernels. A physical law + should be monotone (:math:`d\tau/dV > 0`), which keeps the Newton + block positive; nothing enforces it, exactly as nothing stops a + negative bulk viscosity. + """ + + def __init__(self, tau_expr): + expr = sympy.sympify(tau_expr) + stray = expr.free_symbols - {slip_rate} + if stray: + raise ValueError( + f"a fault law must be an expression in fault_contact." + f"slip_rate alone (found {sorted(map(str, stray))}); " + "substitute parameters before registering.") + self.expr = expr + self._tau = sympy.lambdify(slip_rate, expr, "numpy") + self._dtau = sympy.lambdify(slip_rate, sympy.diff(expr, slip_rate), + "numpy") + + def tau(self, V): + V = np.asarray(V, dtype=float) + return np.broadcast_to(np.asarray(self._tau(V), dtype=float), + V.shape).copy() + + def dtau_dV(self, V): + V = np.asarray(V, dtype=float) + return np.broadcast_to(np.asarray(self._dtau(V), dtype=float), + V.shape).copy() + + +def ViscousFaultLaw(eta_f): + r"""The linear member, :math:`\tau = \eta_f V`, as a symbolic law.""" + return SymbolicFaultLaw(float(eta_f) * slip_rate) + + +def CoulombFaultLaw(mu, sigma_n, V0): + r"""Regularised Coulomb friction, + :math:`\tau = \mu\sigma_n\,\tfrac{2}{\pi}\arctan(V/V_0)`. + + Smooth, bounded by the strength :math:`\mu\sigma_n`, monotone. Below + the regularisation velocity :math:`V_0` the fault sticks (residual + creep :math:`\sim V_0`); above it the shear traction saturates and the + fault slides at constant stress drop. ``sigma_n`` is PRESCRIBED here; + feeding it from the no-opening constraint's reaction (Picard-lagged) is + the follow-up increment. The tangent comes from ``sympy.diff``, not a + hand-coded derivative. + """ + strength = float(mu) * float(sigma_n) + return SymbolicFaultLaw( + strength * (2 / sympy.pi) * sympy.atan(slip_rate / float(V0))) + + +def add_coulomb_fault_bc(solver, conds, boundary, sigma_n=None, V0=1.0e-5): + """Regularised Coulomb friction on the split fault ``boundary`` + (value-first: ``conds`` is the friction coefficient mu). + + ``sigma_n`` is the effective normal stress, prescribed and required in + this version (reaction-fed sigma_n is the next increment). ``V0`` is the + regularisation velocity — choose it well below the slip rates the flow + produces; below it the fault sticks (creep ~ V0), above it the shear + traction saturates at mu*sigma_n and the fault slides at constant + stress drop. + """ + if sigma_n is None: + raise ValueError( + "add_coulomb_fault_bc requires sigma_n (the prescribed effective " + "normal stress) in this version.") + mu = float(conds) + if mu <= 0.0 or float(sigma_n) <= 0.0 or float(V0) <= 0.0: + raise ValueError("mu, sigma_n and V0 must all be positive.") + add_frictionless_fault_bc(solver, boundary) + _register_law(solver, boundary, CoulombFaultLaw(mu, sigma_n, V0)) + + +def _register_law(solver, boundary, law): + registered = dict(getattr(solver, "_fault_interface_laws", {})) + registered[boundary] = law + solver._fault_interface_laws = registered def solve_with_fault(solver, verbose=False, zero_init_guess=True, picard=0): @@ -186,100 +282,165 @@ def _fault_pair_nodes(solver, boundary): return out -def _interface_slip_operator(solver, Q): - r"""The interface constitutive operator on the rotated slip rows, or None. - - For every registered fault with :math:`\eta_f > 0`, assembles - :math:`\hat K = 2\eta_f M` where :math:`M` is the consistent 1-D P2 trace - mass over the fault facets and the factor 2 converts between the slip - :math:`V` and the rotated slip row's value :math:`V/\sqrt 2` (the term is - :math:`\eta_f\int V\,\delta V\,d\Gamma = 2\eta_f\,\hat u^T M\,\delta\hat - u`). Rows/columns live only on slip rows, so the operator adds to the - rotated Jacobian and contributes :math:`\hat K\hat u` to the rotated - residual — the solve driver owns both hooks. - - A tip vertex has no slip DOF — both sides share the point, the jump - space vanishes there — so its trace-mass entries are simply dropped: - the interface law inherits V = 0 at the tips topologically, with no - boundary condition on the interface system. - - ``Q`` is accepted for interface laws that need the rotated frame; the - linear law only needs the row map, which is rebuilt here from the same - deterministic pairing ``build_rotation`` used. +# 3-point Gauss-Legendre on [0,1] (exact through quartics — the tangent's +# N_i N_j weighting of a P2 trace is quartic) and the quadratic line shape +# functions at those points, node order (end, midpoint, end). +_XI = 0.5 + (np.sqrt(15.0) / 10.0) * np.array([-1.0, 0.0, 1.0]) +_WQ = np.array([5.0, 8.0, 5.0]) / 18.0 +_NQ = np.column_stack([2.0 * (_XI - 0.5) * (_XI - 1.0), + 4.0 * _XI * (1.0 - _XI), + 2.0 * _XI * (_XI - 0.5)]) + + +class _InterfaceAssembler: + r"""Residual and consistent tangent of the interface laws, per iterate. + + The interface term is :math:`\int_\Gamma \tau(V)\,\delta V\,d\Gamma` + on the fault trace. In the rotated frame the slip row carries + :math:`V/\sqrt2`, so the residual lands on the slip rows as + :math:`\sqrt2\,L\sum_q w_q\,\tau(V_q)N_i` per facet and the tangent + as :math:`2\,L\sum_q w_q\,(d\tau/dV)(V_q)\,N_iN_j` — for a linear + law exactly :math:`2\eta_f M`, the measured dashpot. Geometry (facet + tables, pair offsets, tangent vectors) is cached at construction; each + call evaluates the lambdified law at the CURRENT iterate's slip rates, + which is what makes the tangent consistent Newton rather than Picard. + + Tip nodes have no slip DOF (the jump space vanishes there): they enter + the quadrature with V = 0 and receive no row or column. A crossing + pair's row may be owned across the seam; both Vec and Mat additions go + through PETSc's off-process stash. All entry points are COLLECTIVE — + ranks holding no fault still participate in the assemblies. """ - from petsc4py import PETSc - - registered = {name: eta for name, eta in - getattr(solver, "_fault_interface_viscosity", {}).items() - if eta > 0.0} - if not registered: - return None - dm = solver.dm - dim = solver.mesh.dim - lsec = dm.getLocalSection() - l2g = dm.getLGMap() - csec = dm.getCoordinateSection() - cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) - v0, v1 = dm.getDepthStratum(0) - fS, fE = dm.getHeightStratum(1) - - A = solver.snes.getJacobian()[0] - rstart, rend = A.getOwnershipRange() - nloc = rend - rstart - N = A.getSize()[0] - K = PETSc.Mat().create(comm=dm.comm) - K.setSizes(((nloc, N), (nloc, N))) - K.setType("aij") - K.setPreallocationNNZ((3, 0)) - K.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) - - # Consistent mass of a P2 line element of unit length, nodes ordered - # (end, midpoint, end). - M_e = np.array([[4.0, 2.0, -1.0], - [2.0, 16.0, 2.0], - [-1.0, 2.0, 4.0]]) / 30.0 - - for name, eta_f in registered.items(): - pairs = solver.mesh._fault_point_pairs[name] - minus_of = {q_plus: q_minus for q_minus, q_plus in pairs.items()} - - def slip_row(q_plus): - """Global row of the pair's rotated slip component, or None at a - tip (no replica, no slip DOF).""" - q_minus = minus_of.get(int(q_plus)) - if q_minus is None: - return None - lo = lsec.getFieldOffset(q_minus, _VELOCITY_FIELD) - g = int(l2g.apply([lo + 1])[0]) - return g if g >= 0 else None - - plus_name = f"{name}Plus" - value = solver.mesh.boundaries[plus_name].value - if not (dm.hasLabel(plus_name) - and dm.getLabel(plus_name).getStratumSize(value) > 0): - continue - facets = [int(p) for p in - dm.getLabel(plus_name).getStratumIS(value).getIndices() - if fS <= int(p) < fE] - for f in facets: - va, vb = (int(q) for q in dm.getCone(f)) - L = float(np.linalg.norm(cvec[csec.getOffset(va) // dim] - - cvec[csec.getOffset(vb) // dim])) - rows = [slip_row(va), slip_row(f), slip_row(vb)] - for i, gi in enumerate(rows): - # off-rank rows are legal: at a seam crossing the pair is - # owned across the seam, and PETSc communicates stashed - # entries at assembly. - if gi is None: + def __init__(self, solver): + dm = solver.dm + dim = solver.mesh.dim + lsec = dm.getLocalSection() + l2g = dm.getLGMap() + csec = dm.getCoordinateSection() + cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) + fS, fE = dm.getHeightStratum(1) + + rows, lo_p, lo_m, tans, laws_of, facets = [], [], [], [], [], [] + index_of = {} + + for name, law in getattr(solver, "_fault_interface_laws", + {}).items(): + pairs = solver.mesh._fault_point_pairs[name] + minus_of = {qp: qm for qm, qp in pairs.items()} + normals = {q: n for q, _qm, n in + ((q_plus, q_minus, nrm) for q_plus, q_minus, nrm in + _fault_pair_nodes(solver, name))} + + def node_index(q): + q = int(q) + qm = minus_of.get(q) + if qm is None: + return -1 # a tip: V = 0, no DOF + if q in index_of: + return index_of[q] + lo = lsec.getFieldOffset(qm, _VELOCITY_FIELD) + g = int(l2g.apply([lo + 1])[0]) + nrm = normals[q] + index_of[q] = len(rows) + rows.append(g) + lo_p.append(lsec.getFieldOffset(q, _VELOCITY_FIELD)) + lo_m.append(lsec.getFieldOffset(qm, _VELOCITY_FIELD)) + tans.append((-nrm[1], nrm[0])) + return index_of[q] + + plus_name = f"{name}Plus" + value = solver.mesh.boundaries[plus_name].value + if not (dm.hasLabel(plus_name) and + dm.getLabel(plus_name).getStratumSize(value) > 0): + continue + law_id = len(laws_of) + laws_of.append(law) + for f in (int(q) for q in dm.getLabel(plus_name) + .getStratumIS(value).getIndices()): + if not (fS <= f < fE): + continue + va, vb = (int(q) for q in dm.getCone(f)) + L = float(np.linalg.norm( + cvec[csec.getOffset(va) // dim] + - cvec[csec.getOffset(vb) // dim])) + facets.append((node_index(va), node_index(f), + node_index(vb), L, law_id)) + + # petsc4py refuses to narrow index arrays — Vec/Mat setValues need + # PETSc's own integer type. + self._rows = np.asarray(rows, dtype=PETSc.IntType) + self._lo_p = np.asarray(lo_p, dtype=np.int64) + self._lo_m = np.asarray(lo_m, dtype=np.int64) + self._tan = np.asarray(tans, dtype=float).reshape(-1, 2) + self._laws = laws_of + self._facets = facets + self._dim = dim + + def _nodal_slip(self, solver, uvec): + """V at every law-carrying pair node, from the CURRENT iterate — + read through the local vector so ghosted (cross-seam) values + resolve, and padded with the tips' identically-zero slip.""" + dm = solver.dm + lvec = dm.getLocalVec() + dm.globalToLocal(uvec, lvec) + a = np.asarray(lvec.getArray()) + V = np.zeros(len(self._rows) + 1) + for k in range(len(self._rows)): + du = (a[self._lo_p[k]:self._lo_p[k] + 2] + - a[self._lo_m[k]:self._lo_m[k] + 2]) + V[k] = float(self._tan[k] @ du) + dm.restoreLocalVec(lvec) + return V # V[-1] == 0: the tip pad + + def residual_add(self, solver, uvec, Fh): + """Add the interface force to the ROTATED residual, in place. + COLLECTIVE (the Vec assembly): every rank calls, fault or not.""" + V = self._nodal_slip(solver, uvec) + vals = np.zeros(len(self._rows)) + s2 = np.sqrt(2.0) + for ia, im, ib, L, law_id in self._facets: + idx = (ia, im, ib) + Vq = _NQ @ V[list(idx)] + tq = self._laws[law_id].tau(Vq) + contrib = s2 * L * (_NQ.T @ (_WQ * tq)) + for j, k in enumerate(idx): + if k >= 0: + vals[k] += contrib[j] + if len(self._rows): + Fh.setValues(self._rows, vals, addv=True) + Fh.assemblyBegin() + Fh.assemblyEnd() + + def tangent(self, solver, uvec): + """The consistent interface tangent at the current iterate, as a + fresh Mat on the composite layout (caller destroys). COLLECTIVE.""" + dm = solver.dm + A = solver.snes.getJacobian()[0] + rstart, rend = A.getOwnershipRange() + K = PETSc.Mat().create(comm=dm.comm) + K.setSizes(((rend - rstart, A.getSize()[0]), + (rend - rstart, A.getSize()[0]))) + K.setType("aij") + K.setPreallocationNNZ((3, 0)) + K.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) + + V = self._nodal_slip(solver, uvec) + for ia, im, ib, L, law_id in self._facets: + idx = (ia, im, ib) + Vq = _NQ @ V[list(idx)] + dq = self._laws[law_id].dtau_dV(Vq) + Ke = 2.0 * L * (_NQ.T @ (_NQ * (_WQ * dq)[:, None])) + for i, ki in enumerate(idx): + if ki < 0: continue - for j, gj in enumerate(rows): - if gj is None: - continue - K.setValue(gi, gj, 2.0 * eta_f * L * M_e[i, j], - addv=True) - K.assemble() - return K + for j, kj in enumerate(idx): + if kj >= 0: + K.setValue(int(self._rows[ki]), + int(self._rows[kj]), + float(Ke[i, j]), addv=True) + K.assemble() + return K def fault_slip(solver, boundary, solve_result): diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index 4f0c0972..82b5bbe8 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -653,16 +653,16 @@ def solve_rotated_freeslip(solver, boundaries, remove_rotation_gauge=True, # gauge is fixed by the naive pressure pin instead (see _naive_pressure_pin). use_lu = bool(getattr(solver, "_rotated_use_lu", False)) custom_Pl = None if use_lu else _build_rotated_custom_Pl(solver, Q, normal_rows) - # Interface constitutive operator (fault_contact.add_viscous_fault_bc): - # K̂ lives on the rotated slip rows, adds K̂·û to the rotated residual and - # K̂ to the rotated tangent. Geometry- and coefficient-fixed for the - # linear law, so built once; a nonlinear interface law re-enters here as - # a per-iteration rebuild with the tangent dτ/dV. - Khat = None - if any(eta > 0.0 for eta in - getattr(solver, "_fault_interface_viscosity", {}).values()): + # Interface constitutive laws (fault_contact.add_viscous_fault_bc / + # add_coulomb_fault_bc): the assembler caches the fault-trace geometry + # once; each iterate it adds the interface force ∫τ(V)δV to the rotated + # residual and the CONSISTENT tangent 2·(dτ/dV)·M to the rotated + # operator — full Newton in V, the stiff direction. (Only a future + # reaction-fed σ_n argument would be Picard-lagged, by choice.) + interface = None + if getattr(solver, "_fault_interface_laws", {}): from underworld3.utilities import fault_contact - Khat = fault_contact._interface_slip_operator(solver, Q) + interface = fault_contact._InterfaceAssembler(solver) # The null space is built INSIDE the loop, after the first Jacobian assembly: # _mode_satisfies_constraints verifies each candidate mode against the # ASSEMBLED operator (‖J·m‖ ≈ 0), which an unassembled J cannot support. @@ -723,13 +723,11 @@ def rotated_residual(uvec, keep_cartesian=False): Fc.copy(reaction) # stash the Cartesian reaction for σ_nn Fh = Fc.duplicate() Q.mult(Fc, Fh) - if Khat is not None: - # interface constitutive force: K̂·û on the slip rows (the pair's - # equal-and-opposite tractions, already in the rotated frame) - uh = Fh.duplicate() - Q.mult(uvec, uh) - Khat.multAdd(uh, Fh, Fh) - uh.destroy() + if interface is not None: + # interface constitutive force on the slip rows, evaluated at + # THIS iterate (the pair's equal-and-opposite tractions, already + # in the rotated frame) + interface.residual_add(solver, uvec, Fh) _zero_rows_local(Fh, normal_rows) return Fh @@ -784,15 +782,19 @@ def rotated_residual(uvec, keep_cartesian=False): Ahat = J.ptap(Qt) else: J.ptap(Qt, result=Ahat) # same nonzero pattern → in-place refresh - # The interface operator is added to a COPY: the ptap-with-result - # refresh above owns Ahat's structure, and injected entries would be + # The interface tangent is REASSEMBLED at every iterate (that is + # what makes it consistent Newton, dtau/dV at the current slip + # rates) and added to a COPY: the ptap-with-result refresh above + # owns Ahat's structure, and injected entries would be # stale-or-doubled on the next refresh. - if Khat is not None: + if interface is not None: + Khat = interface.tangent(solver, u) if Atot is not None: Atot.destroy() Atot = Ahat.copy() Atot.axpy(1.0, Khat, structure=PETSc.Mat.Structure.DIFFERENT_NONZERO_PATTERN) + Khat.destroy() # A recreated operator loses the null space the first solve # attached; re-attach for iterations after the first (a nonlinear # interface law is what reaches them). @@ -920,8 +922,6 @@ def rotated_residual(uvec, keep_cartesian=False): Ahat.destroy() # the reused rotated operator if Atot is not None: Atot.destroy() # rotated operator + interface term - if Khat is not None: - Khat.destroy() if xhat is not None: xhat.destroy() # unused lift vector (loop exited before it) removed = _finalize_rotated_solution(solver, u, Q, normal_rows, remove_rotation_gauge) diff --git a/tests/test_0846_fault_contact.py b/tests/test_0846_fault_contact.py index b3f6bdf2..61a32512 100644 --- a/tests/test_0846_fault_contact.py +++ b/tests/test_0846_fault_contact.py @@ -27,7 +27,8 @@ import pytest import underworld3 as uw -from underworld3.utilities.fault_contact import (add_frictionless_fault_bc, +from underworld3.utilities.fault_contact import (add_coulomb_fault_bc, + add_frictionless_fault_bc, add_viscous_fault_bc, fault_slip, solve_with_fault) from underworld3.utilities.fault_split import split_fault @@ -154,6 +155,67 @@ def test_viscous_fault_bridges_welded_to_free(): f"a stiff dashpot should weld the fault: {peaks}") +def test_coulomb_fault_slides_and_sticks(): + """The first nonlinear law, against its two analytic regimes. + + The fault plane here is ~14 deg to x, so the resolved driving shear is + tau_inf = cos(2*theta) ~ 0.88 of the unit far-field shear. A regularised + Coulomb fault with strength mu*sigma_n BELOW tau_inf slides at constant + stress drop: by superposition its slip is the frictionless crack's + scaled by (tau_inf - strength)/tau_inf. Strength ABOVE tau_inf sticks: + the slip collapses to the regularisation creep ~ V0, orders of + magnitude below the crack. Both regimes must come out of the SAME + consistent-Newton machinery — the tangent is sympy-derived from the + arctan law, and the loop must genuinely converge in each. + """ + mesh = _split_box() + x, y = mesh.X + d = (TIP_B - TIP_A) / np.linalg.norm(TIP_B - TIP_A) + tau_inf = float(d[0] ** 2 - d[1] ** 2) # cos(2*theta) resolved shear + + def solve_case(tag, register): + v = uw.discretisation.MeshVariable(f"v{tag}", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable(f"p{tag}", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + register(stokes) + info = solve_with_fault(stokes) + assert info["converged"], f"{tag}: did not converge" + _s, V, leak = fault_slip(stokes, "Flt", info) + assert np.abs(leak).max() < 1e-12 + return float(np.abs(V).max()), info["nonlinear_iterations"] + + V_free, _ = solve_case( + "cf", lambda st: add_frictionless_fault_bc(st, "Flt")) + + # Sliding: strength = half the resolved driving shear. + strength = 0.5 * tau_inf + V_slide, its_slide = solve_case( + "cs", lambda st: add_coulomb_fault_bc( + st, 1.0, "Flt", sigma_n=strength, V0=1e-4 * V_free)) + ratio = V_slide / V_free + assert 0.3 < ratio < 0.7, ( + f"sliding slip ratio {ratio:.3f}; constant-stress-drop scaling " + f"predicts ~{(tau_inf - strength) / tau_inf:.2f}") + assert its_slide < 30, f"sliding solve took {its_slide} Newton iterations" + + # Stuck: strength safely above the resolved driving shear. + V0_stick = 1e-6 + V_stick, its_stick = solve_case( + "ck", lambda st: add_coulomb_fault_bc( + st, 1.0, "Flt", sigma_n=2.0, V0=V0_stick)) + assert V_stick < 20 * V0_stick, ( + f"stuck fault creeps at {V_stick:.2e}, far above the " + f"regularisation velocity {V0_stick:.0e}") + assert its_stick < 40, f"stick solve took {its_stick} Newton iterations" + + def test_registration_refuses_an_unsplit_mesh(): base = uw.meshing.UnstructuredSimplexBox( minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 8, From ba78da454ec610ae4a5a82fb3f306230630f4969 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 22:11:54 +1000 Subject: [PATCH 11/60] Reaction-fed effective normal stress for the fault laws MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit sigma_n = "reaction" feeds a Coulomb law from the no-opening constraint's own reaction instead of a prescribed value. The recovery is the pair analogue of the wall sigma_nn machinery: the Cartesian residual stashed at each iteration START is the pure transmitted traction (the interface force is added after the stash), so the nodal normal load is (n.r+ - n.r-)/2, de-smeared by the lumped 1-D P2 trace mass (positive row sums, unlike P2 triangles; completed over the star-forest so a seam-crossing node sees both ranks' facets). Compression enters the law positive; tension clamps the strength to zero — an opening-tending fault has no friction, and the no-opening constraint holds it shut regardless. The lag is placed INSIDE rotated_residual, between the reaction stash and the interface force, gated on keep_cartesian: sigma updates exactly once per Newton iteration, and line-search trials evaluate against the frozen sigma — a consistent comparison, the Picard-lag done properly. Iteration zero sees a rest state, so a reaction-fed law starts frictionless and tightens as the stress field forms: a built-in homotopy. Laws become two-argument symbolic expressions (slip_rate, normal_stress), tangents still by sympy.diff. New public diagnostic fault_normal_traction returns signed sigma_nn along the fault from the same geometry. Tested: the recovered mean matches the resolved background compression 2 n_x n_y on the frictionless fault, and the reaction-fed Coulomb slides at the constant-stress-drop ratio its recovered strength predicts. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_contact.py | 166 ++++++++++++++++++--- src/underworld3/utilities/rotated_bc.py | 10 ++ tests/test_0846_fault_contact.py | 65 ++++++++ 3 files changed, 220 insertions(+), 21 deletions(-) diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index 7615b092..14701553 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -111,6 +111,13 @@ def add_viscous_fault_bc(solver, conds, boundary): #: (lambdified) callables. slip_rate = sympy.Symbol(r"V_{slip}", real=True) +#: The effective normal stress symbol (positive in compression, clamped at +#: zero in tension): a law may use it, and the assembler feeds it per node +#: from the no-opening constraint's REACTION, Picard-lagged once per Newton +#: iteration — the one deliberately lagged quantity (its derivative is +#: nonlocal and non-stiff; the stiff direction dtau/dV stays full Newton). +normal_stress = sympy.Symbol(r"\sigma_{n,eff}", real=True, nonnegative=True) + class SymbolicFaultLaw: r"""An interface law :math:`\tau(V)` given as a sympy expression in @@ -126,25 +133,27 @@ class SymbolicFaultLaw: def __init__(self, tau_expr): expr = sympy.sympify(tau_expr) - stray = expr.free_symbols - {slip_rate} + stray = expr.free_symbols - {slip_rate, normal_stress} if stray: raise ValueError( f"a fault law must be an expression in fault_contact." - f"slip_rate alone (found {sorted(map(str, stray))}); " - "substitute parameters before registering.") + f"slip_rate (and optionally normal_stress) alone (found " + f"{sorted(map(str, stray))}); substitute other parameters " + "before registering.") self.expr = expr - self._tau = sympy.lambdify(slip_rate, expr, "numpy") - self._dtau = sympy.lambdify(slip_rate, sympy.diff(expr, slip_rate), + args = (slip_rate, normal_stress) + self._tau = sympy.lambdify(args, expr, "numpy") + self._dtau = sympy.lambdify(args, sympy.diff(expr, slip_rate), "numpy") - def tau(self, V): + def tau(self, V, S): V = np.asarray(V, dtype=float) - return np.broadcast_to(np.asarray(self._tau(V), dtype=float), + return np.broadcast_to(np.asarray(self._tau(V, S), dtype=float), V.shape).copy() - def dtau_dV(self, V): + def dtau_dV(self, V, S): V = np.asarray(V, dtype=float) - return np.broadcast_to(np.asarray(self._dtau(V), dtype=float), + return np.broadcast_to(np.asarray(self._dtau(V, S), dtype=float), V.shape).copy() @@ -165,7 +174,10 @@ def CoulombFaultLaw(mu, sigma_n, V0): the follow-up increment. The tangent comes from ``sympy.diff``, not a hand-coded derivative. """ - strength = float(mu) * float(sigma_n) + if sigma_n == "reaction": + strength = float(mu) * normal_stress + else: + strength = float(mu) * float(sigma_n) return SymbolicFaultLaw( strength * (2 / sympy.pi) * sympy.atan(slip_rate / float(V0))) @@ -183,10 +195,12 @@ def add_coulomb_fault_bc(solver, conds, boundary, sigma_n=None, V0=1.0e-5): """ if sigma_n is None: raise ValueError( - "add_coulomb_fault_bc requires sigma_n (the prescribed effective " - "normal stress) in this version.") + "add_coulomb_fault_bc requires sigma_n: a prescribed effective " + "normal stress, or \"reaction\" to feed it from the no-opening " + "constraint's reaction (Picard-lagged).") mu = float(conds) - if mu <= 0.0 or float(sigma_n) <= 0.0 or float(V0) <= 0.0: + if mu <= 0.0 or float(V0) <= 0.0 or ( + sigma_n != "reaction" and float(sigma_n) <= 0.0): raise ValueError("mu, sigma_n and V0 must all be positive.") add_frictionless_fault_bc(solver, boundary) _register_law(solver, boundary, CoulombFaultLaw(mu, sigma_n, V0)) @@ -312,7 +326,7 @@ class _InterfaceAssembler: ranks holding no fault still participate in the assemblies. """ - def __init__(self, solver): + def __init__(self, solver, include=()): dm = solver.dm dim = solver.mesh.dim lsec = dm.getLocalSection() @@ -321,11 +335,14 @@ def __init__(self, solver): cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) fS, fE = dm.getHeightStratum(1) - rows, lo_p, lo_m, tans, laws_of, facets = [], [], [], [], [], [] + rows, lo_p, lo_m, tans, nrms, laws_of, facets = \ + [], [], [], [], [], [], [] index_of = {} - for name, law in getattr(solver, "_fault_interface_laws", - {}).items(): + registered = dict(getattr(solver, "_fault_interface_laws", {})) + for name in include: + registered.setdefault(name, None) # geometry only (diagnostics) + for name, law in registered.items(): pairs = solver.mesh._fault_point_pairs[name] minus_of = {qp: qm for qm, qp in pairs.items()} normals = {q: n for q, _qm, n in @@ -347,6 +364,7 @@ def node_index(q): lo_p.append(lsec.getFieldOffset(q, _VELOCITY_FIELD)) lo_m.append(lsec.getFieldOffset(qm, _VELOCITY_FIELD)) tans.append((-nrm[1], nrm[0])) + nrms.append((nrm[0], nrm[1])) return index_of[q] plus_name = f"{name}Plus" @@ -354,8 +372,9 @@ def node_index(q): if not (dm.hasLabel(plus_name) and dm.getLabel(plus_name).getStratumSize(value) > 0): continue - law_id = len(laws_of) - laws_of.append(law) + law_id = len(laws_of) if law is not None else -1 + if law is not None: + laws_of.append(law) for f in (int(q) for q in dm.getLabel(plus_name) .getStratumIS(value).getIndices()): if not (fS <= f < fE): @@ -373,9 +392,49 @@ def node_index(q): self._lo_p = np.asarray(lo_p, dtype=np.int64) self._lo_m = np.asarray(lo_m, dtype=np.int64) self._tan = np.asarray(tans, dtype=float).reshape(-1, 2) + self._nrm = np.asarray(nrms, dtype=float).reshape(-1, 2) self._laws = laws_of self._facets = facets self._dim = dim + self._points = {q: k for q, k in index_of.items()} + + # Lumped 1-D P2 trace mass per pair node, for de-smearing the + # constraint reaction into a pointwise normal traction (row sums + # L/6, 2L/3, L/6 — positive for a P2 LINE, unlike P2 triangles). + # At a seam crossing the two adjacent facets live on different + # ranks, so the mass is completed over the star-forest, keyed on + # the PLUS point of each pair. + mass = np.zeros(len(rows)) + for ia, im, ib, L, _law_id in facets: + for k, w in ((ia, L / 6.0), (im, 2.0 * L / 3.0), + (ib, L / 6.0)): + if k >= 0: + mass[k] += w + if mpi.size > 1: + pStart, pEnd = dm.getChart() + chart_mass = np.zeros(pEnd - pStart, dtype=np.float64) + for q, k in index_of.items(): + chart_mass[q - pStart] = mass[k] + sf = dm.getPointSF() + try: + nroots, _il, _ir = sf.getGraph() + except (ValueError, TypeError): + nroots = -1 + if nroots >= 0: + from mpi4py import MPI + sf.reduceBegin(MPI.DOUBLE, chart_mass, chart_mass, MPI.SUM) + sf.reduceEnd(MPI.DOUBLE, chart_mass, chart_mass, MPI.SUM) + sf.bcastBegin(MPI.DOUBLE, chart_mass, chart_mass, + MPI.REPLACE) + sf.bcastEnd(MPI.DOUBLE, chart_mass, chart_mass, MPI.REPLACE) + for q, k in index_of.items(): + mass[k] = float(chart_mass[q - pStart]) + self._mass = mass + # Effective normal stress per pair node (positive in compression), + # fed by update_normal_stress; zero until the first reaction exists, + # which makes a reaction-fed law START frictionless — a natural + # homotopy from the crack toward the frictional state. + self._sigma = np.zeros(len(rows) + 1) def _nodal_slip(self, solver, uvec): """V at every law-carrying pair node, from the CURRENT iterate — @@ -397,12 +456,16 @@ def residual_add(self, solver, uvec, Fh): """Add the interface force to the ROTATED residual, in place. COLLECTIVE (the Vec assembly): every rank calls, fault or not.""" V = self._nodal_slip(solver, uvec) + S = self._sigma vals = np.zeros(len(self._rows)) s2 = np.sqrt(2.0) for ia, im, ib, L, law_id in self._facets: + if law_id < 0: + continue # geometry-only (diagnostics) idx = (ia, im, ib) Vq = _NQ @ V[list(idx)] - tq = self._laws[law_id].tau(Vq) + Sq = _NQ @ S[list(idx)] + tq = self._laws[law_id].tau(Vq, Sq) contrib = s2 * L * (_NQ.T @ (_WQ * tq)) for j, k in enumerate(idx): if k >= 0: @@ -412,6 +475,33 @@ def residual_add(self, solver, uvec, Fh): Fh.assemblyBegin() Fh.assemblyEnd() + def nodal_normal_traction(self, solver, reaction): + """Signed normal traction sigma_nn per pair node from the Cartesian + reaction (negative in compression): the jump-normal constraint's + nodal load l_i = (n.r+ - n.r-)/2, de-smeared by the lumped trace + mass. The reaction must be the PURE bulk residual — the loop + stashes it before the interface force is added.""" + dm = solver.dm + lvec = dm.getLocalVec() + dm.globalToLocal(reaction, lvec) + a = np.asarray(lvec.getArray()) + sig = np.zeros(len(self._rows)) + for k in range(len(self._rows)): + rp = a[self._lo_p[k]:self._lo_p[k] + 2] + rm = a[self._lo_m[k]:self._lo_m[k] + 2] + load = 0.5 * float(self._nrm[k] @ (rp - rm)) + sig[k] = load / max(self._mass[k], 1e-300) + dm.restoreLocalVec(lvec) + return sig + + def update_normal_stress(self, solver, reaction): + """Picard-lag the effective normal stress into the laws: positive + in compression, clamped at zero in tension (an opening-tending + fault has no frictional strength; the no-opening constraint holds + it shut regardless).""" + sig = self.nodal_normal_traction(solver, reaction) + self._sigma[:len(sig)] = np.maximum(-sig, 0.0) + def tangent(self, solver, uvec): """The consistent interface tangent at the current iterate, as a fresh Mat on the composite layout (caller destroys). COLLECTIVE.""" @@ -426,10 +516,14 @@ def tangent(self, solver, uvec): K.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) V = self._nodal_slip(solver, uvec) + S = self._sigma for ia, im, ib, L, law_id in self._facets: + if law_id < 0: + continue # geometry-only (diagnostics) idx = (ia, im, ib) Vq = _NQ @ V[list(idx)] - dq = self._laws[law_id].dtau_dV(Vq) + Sq = _NQ @ S[list(idx)] + dq = self._laws[law_id].dtau_dV(Vq, Sq) Ke = 2.0 * L * (_NQ.T @ (_NQ * (_WQ * dq)[:, None])) for i, ki in enumerate(idx): if ki < 0: @@ -443,6 +537,36 @@ def tangent(self, solver, uvec): return K +def fault_normal_traction(solver, boundary, solve_result): + """Signed normal traction sigma_nn along the split fault ``boundary`` + (negative in compression), per coincident pair on this rank, with the + along-fault coordinate — recovered from the solve's stashed reaction, + exactly as the interface laws read their effective normal stress. + Returns ``(s, sigma_nn)`` ordered along the fault. + """ + from underworld3.utilities.rotated_bc import _point_coord + + assembler = _InterfaceAssembler(solver, include=(boundary,)) + sig = assembler.nodal_normal_traction(solver, solve_result["reaction"]) + + dm = solver.dm + dim = solver.mesh.dim + csec = dm.getCoordinateSection() + cvec = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, dim) + v0, v1 = dm.getDepthStratum(0) + pts = sorted(assembler._points, key=assembler._points.get) + coords = np.array([_point_coord(dm, dim, cvec, csec, v0, v1, q) + for q in pts]) if pts else np.zeros((0, dim)) + if not len(coords): + return np.zeros(0), np.zeros(0) + tbar = assembler._tan.mean(axis=0) + tbar /= np.linalg.norm(tbar) + 1e-30 + s_coord = coords @ tbar + s_coord -= s_coord.min() + order = np.argsort(s_coord) + return s_coord[order], sig[order] + + def fault_slip(solver, boundary, solve_result): """Slip and leak across the fault, per coincident pair, from the solve. diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index 82b5bbe8..82f68099 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -721,6 +721,16 @@ def rotated_residual(uvec, keep_cartesian=False): snes.computeFunction(uvec, Fc) if keep_cartesian: Fc.copy(reaction) # stash the Cartesian reaction for σ_nn + if interface is not None: + # Picard-lag the reaction-fed normal stress into the laws: + # the stash IS the pure transmitted traction at this iterate + # (the interface force is added below, after it). Updated + # only at ITERATION STARTS — line-search trials + # (keep_cartesian=False) evaluate against the frozen sigma, + # which is what makes the lag a consistent comparison. + # Iteration 0 sees a zero state: a reaction-fed law starts + # frictionless and tightens as the stress field forms. + interface.update_normal_stress(solver, reaction) Fh = Fc.duplicate() Q.mult(Fc, Fh) if interface is not None: diff --git a/tests/test_0846_fault_contact.py b/tests/test_0846_fault_contact.py index 61a32512..cad90991 100644 --- a/tests/test_0846_fault_contact.py +++ b/tests/test_0846_fault_contact.py @@ -30,6 +30,7 @@ from underworld3.utilities.fault_contact import (add_coulomb_fault_bc, add_frictionless_fault_bc, add_viscous_fault_bc, + fault_normal_traction, fault_slip, solve_with_fault) from underworld3.utilities.fault_split import split_fault from underworld3.utilities.line_cut import cut_along_lines, pull_vertex_onto @@ -216,6 +217,70 @@ def solve_case(tag, register): assert its_stick < 40, f"stick solve took {its_stick} Newton iterations" +def test_reaction_fed_normal_stress(): + """sigma_n from the no-opening constraint's reaction, not prescribed. + + Two claims. (1) The recovery itself: on the frictionless fault under + unit far-field shear, the transmitted normal traction should match the + resolved background sigma_nn = 2 n_x n_y (mode-II slip perturbs the + normal traction antisymmetrically, so the MEAN along the fault stays at + the background value). (2) The law coupling: Coulomb with + sigma_n="reaction" must land between frictionless and a strong + prescribed fault, sliding at the strength the recovered compression + actually provides — with the whole sigma feedback Picard-lagged inside + the same Newton loop. + """ + mesh = _split_box() + x, y = mesh.X + d = (TIP_B - TIP_A) / np.linalg.norm(TIP_B - TIP_A) + nrm = np.array([-d[1], d[0]]) + sigma_bg = 2.0 * nrm[0] * nrm[1] * d[0] * d[1] / (d[0] * d[1]) # sign via components + sigma_bg = 2.0 * (-d[1]) * d[0] # n_x n_y * 2 with n = (-dy, dx) + tau_inf = float(d[0] ** 2 - d[1] ** 2) + + def solve_case(tag, register): + v = uw.discretisation.MeshVariable(f"v{tag}", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable(f"p{tag}", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + register(stokes) + info = solve_with_fault(stokes) + assert info["converged"], f"{tag}: did not converge" + _s, V, leak = fault_slip(stokes, "Flt", info) + assert np.abs(leak).max() < 1e-12 + return stokes, info, float(np.abs(V).max()) + + # (1) traction recovery against the resolved background + st_free, info_free, V_free = solve_case( + "rf", lambda st: add_frictionless_fault_bc(st, "Flt")) + _s, sig = fault_normal_traction(st_free, "Flt", info_free) + mean_sig = float(np.mean(sig)) + assert np.sign(mean_sig) == np.sign(sigma_bg) + assert abs(mean_sig - sigma_bg) < 0.35 * abs(sigma_bg), ( + f"recovered mean sigma_nn {mean_sig:.3f} vs background " + f"{sigma_bg:.3f}") + + # (2) the reaction-fed Coulomb law + mu = 1.0 + _st, info_rc, V_rc = solve_case( + "rc", lambda st: add_coulomb_fault_bc( + st, mu, "Flt", sigma_n="reaction", V0=1e-4 * V_free)) + strength = mu * abs(sigma_bg) + predicted = max(tau_inf - strength, 0.0) / tau_inf + ratio = V_rc / V_free + assert 0.5 * predicted < ratio < min(1.6 * predicted + 0.05, 0.95), ( + f"reaction-fed slip ratio {ratio:.3f} vs constant-stress-drop " + f"prediction {predicted:.3f} (strength {strength:.3f} from the " + f"recovered compression)") + assert info_rc["nonlinear_iterations"] < 40 + + def test_registration_refuses_an_unsplit_mesh(): base = uw.meshing.UnstructuredSimplexBox( minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 8, From 1c2394b51f69126d0f2cc389342f98154ee3ab48 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Tue, 4 Aug 2026 22:25:16 +1000 Subject: [PATCH 12/60] Rate-and-state friction on the split fault: the ladder's top rung MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit RateStateFaultLaw is the arcsinh-regularised form (never the raw logarithmic law, singular at V = 0): tau = a sigma_n asinh[(V/2V0) exp((f0 + b ln(V0 theta/Dc))/a)] — odd in V, smooth, with the state entering per node through the new state_variable symbol exactly as the normal stress does, and the consistent tangent in V still from sympy.diff. At steady state it reduces to sigma(f0 + (a-b) ln V/V0). The state lives per fault on the solver (by plus-point id — stable across assembler rebuilds; manifold MeshVariables replace this store when the 1-D mesh type lands, with the law layer unchanged) and advances between solves by update_fault_state: the ageing law integrated EXACTLY for piecewise-constant V, written with expm1 so V -> 0 degrades to pure ageing. The function returns the steady-state monitor median theta*V/Dc. One numerical lesson: theta varies by orders of magnitude along a fault, and quadratic shape functions undershoot — plain interpolation sent a positive-only state negative at a quadrature point (fractional powers of it, from b/a exponents, then poisoned the law). Theta is interpolated in the LOG, which is both positive-preserving and the natural interpolant for a variable the law only reads through ln(theta). Tested: a velocity-strengthening fault under steady loading cycles solve <-> state-update to the fixed point — slip settles and the monitor reaches Dc/V — with sigma_n reaction-fed throughout. Underworld development team with AI support from Claude Code Claude-Session: https://claude.ai/code/session_01WDKP73LD3dCFQSNgEXbbw9 --- src/underworld3/utilities/fault_contact.py | 135 +++++++++++++++++++-- tests/test_0846_fault_contact.py | 46 ++++++- 2 files changed, 169 insertions(+), 12 deletions(-) diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index 14701553..16144ebe 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -118,6 +118,14 @@ def add_viscous_fault_bc(solver, conds, boundary): #: nonlocal and non-stiff; the stiff direction dtau/dV stays full Newton). normal_stress = sympy.Symbol(r"\sigma_{n,eff}", real=True, nonnegative=True) +#: The interface state variable (rate-state theta), per node like the +#: normal stress: a law may use it; the values are held per fault on the +#: solver (``solver._fault_state``) and advanced between solves by +#: :func:`update_fault_state` — the ageing-law ODE integrated exactly for +#: piecewise-constant V. (When manifold MeshVariables land, theta moves +#: there; the law layer is unchanged either way.) +state_variable = sympy.Symbol(r"\theta_{state}", real=True, positive=True) + class SymbolicFaultLaw: r"""An interface law :math:`\tau(V)` given as a sympy expression in @@ -133,27 +141,28 @@ class SymbolicFaultLaw: def __init__(self, tau_expr): expr = sympy.sympify(tau_expr) - stray = expr.free_symbols - {slip_rate, normal_stress} + stray = expr.free_symbols - {slip_rate, normal_stress, + state_variable} if stray: raise ValueError( f"a fault law must be an expression in fault_contact." - f"slip_rate (and optionally normal_stress) alone (found " - f"{sorted(map(str, stray))}); substitute other parameters " - "before registering.") + f"slip_rate (and optionally normal_stress and " + f"state_variable) alone (found {sorted(map(str, stray))}); " + "substitute other parameters before registering.") self.expr = expr - args = (slip_rate, normal_stress) + args = (slip_rate, normal_stress, state_variable) self._tau = sympy.lambdify(args, expr, "numpy") self._dtau = sympy.lambdify(args, sympy.diff(expr, slip_rate), "numpy") - def tau(self, V, S): + def tau(self, V, S, T): V = np.asarray(V, dtype=float) - return np.broadcast_to(np.asarray(self._tau(V, S), dtype=float), + return np.broadcast_to(np.asarray(self._tau(V, S, T), dtype=float), V.shape).copy() - def dtau_dV(self, V, S): + def dtau_dV(self, V, S, T): V = np.asarray(V, dtype=float) - return np.broadcast_to(np.asarray(self._dtau(V, S), dtype=float), + return np.broadcast_to(np.asarray(self._dtau(V, S, T), dtype=float), V.shape).copy() @@ -206,6 +215,83 @@ def add_coulomb_fault_bc(solver, conds, boundary, sigma_n=None, V0=1.0e-5): _register_law(solver, boundary, CoulombFaultLaw(mu, sigma_n, V0)) +def RateStateFaultLaw(a, b, V0, f0, Dc, sigma_n="reaction"): + r"""Regularised rate-and-state friction (arcsinh form — never the raw + logarithmic law, which is singular at V = 0): + + .. math:: \tau = a\,\sigma_n\,\mathrm{asinh}\!\left[ + \frac{V}{2V_0}\exp\!\left(\frac{f_0 + b\ln(V_0\theta/D_c)} + {a}\right)\right], + + smooth and odd in V (sign-correct for either slip direction), with the + state :math:`\theta` entering per node through + :data:`state_variable` and evolving by the ageing law between solves + (:func:`update_fault_state`). At steady state + (:math:`\theta = D_c/V`) it reduces to + :math:`\tau = \sigma_n(f_0 + (a-b)\ln V/V_0)`: velocity + strengthening for a > b, weakening for a < b. The consistent tangent + in V comes from ``sympy.diff``, exactly as for every other law. + """ + a, b, V0, f0, Dc = (float(q) for q in (a, b, V0, f0, Dc)) + sn = normal_stress if sigma_n == "reaction" else float(sigma_n) + return SymbolicFaultLaw( + a * sn * sympy.asinh( + (slip_rate / (2 * V0)) * sympy.exp( + (f0 + b * sympy.log(V0 * state_variable / Dc)) / a))) + + +def add_rate_state_fault_bc(solver, conds, boundary, *, a, b, V0, Dc, + sigma_n="reaction", theta0=None): + """Rate-and-state friction on the split fault ``boundary`` + (value-first: ``conds`` is the reference friction coefficient f0). + + ``a``/``b`` are the direct-effect and evolution coefficients, ``V0`` + the reference slip rate, ``Dc`` the state-evolution distance; + ``sigma_n`` as for Coulomb. The state starts at ``theta0`` (default + ``Dc/V0``, steady at the reference rate) and is advanced after each + solve with :func:`update_fault_state`. + """ + add_frictionless_fault_bc(solver, boundary) + _register_law(solver, boundary, + RateStateFaultLaw(a, b, V0, conds, Dc, sigma_n=sigma_n)) + states = dict(getattr(solver, "_fault_state", {})) + states.setdefault(boundary, {"theta0": float( + theta0 if theta0 is not None else float(Dc) / float(V0)), + "Dc": float(Dc), "by_point": {}}) + solver._fault_state = states + + +def update_fault_state(solver, boundary, dt, solve_result): + """Advance the fault's state variable by the ageing law over ``dt``: + + d(theta)/dt = 1 - V*theta/Dc, integrated EXACTLY for the solve's + (piecewise-constant) slip rates: + theta' = theta*exp(-x) + (Dc/|V|)*(1 - exp(-x)), x = |V| dt / Dc — + written with expm1 so the V -> 0 limit degrades smoothly to pure + ageing, theta' = theta + dt. Returns the median of theta*|V|/Dc over + the slipping nodes (1.0 at steady state — the convergence monitor). + """ + state = solver._fault_state[boundary] + Dc = state["Dc"] + assembler = _InterfaceAssembler(solver, include=(boundary,)) + V = np.abs(assembler._nodal_slip(solver, solve_result["U"])[:-1]) + pts = sorted(assembler._points, key=assembler._points.get) + theta = np.array([state["by_point"].get(q, state["theta0"]) + for q in pts]) + x = V * float(dt) / Dc + decay = np.exp(-x) + growth = np.where(x > 1e-8, + (Dc / np.maximum(V, 1e-300)) * (-np.expm1(-x)), + float(dt) * (1.0 - 0.5 * x)) + theta = theta * decay + growth + state["by_point"] = {q: float(t) for q, t in zip(pts, theta)} + slipping = V > 0.2 * V.max() if V.size and V.max() > 0 else \ + np.zeros(0, dtype=bool) + if not slipping.any(): + return float("nan") + return float(np.median(theta[slipping] * V[slipping] / Dc)) + + def _register_law(solver, boundary, law): registered = dict(getattr(solver, "_fault_interface_laws", {})) registered[boundary] = law @@ -338,11 +424,14 @@ def __init__(self, solver, include=()): rows, lo_p, lo_m, tans, nrms, laws_of, facets = \ [], [], [], [], [], [], [] index_of = {} + fault_of = [] + current = [None] # the fault being walked registered = dict(getattr(solver, "_fault_interface_laws", {})) for name in include: registered.setdefault(name, None) # geometry only (diagnostics) for name, law in registered.items(): + current[0] = name pairs = solver.mesh._fault_point_pairs[name] minus_of = {qp: qm for qm, qp in pairs.items()} normals = {q: n for q, _qm, n in @@ -360,6 +449,7 @@ def node_index(q): g = int(l2g.apply([lo + 1])[0]) nrm = normals[q] index_of[q] = len(rows) + fault_of.append(current[0]) rows.append(g) lo_p.append(lsec.getFieldOffset(q, _VELOCITY_FIELD)) lo_m.append(lsec.getFieldOffset(qm, _VELOCITY_FIELD)) @@ -435,6 +525,17 @@ def node_index(q): # which makes a reaction-fed law START frictionless — a natural # homotopy from the crack toward the frictional state. self._sigma = np.zeros(len(rows) + 1) + # Interface state (rate-state theta) per pair node, loaded from the + # solver's per-fault store; 1.0 for faults without state (the value + # is inert unless the law references state_variable). + self._theta = np.ones(len(rows) + 1) + fault_states = getattr(solver, "_fault_state", {}) + points_in_order = sorted(index_of, key=index_of.get) + for k, fname in enumerate(fault_of): + st = fault_states.get(fname) + if st is not None: + self._theta[k] = st["by_point"].get(points_in_order[k], + st["theta0"]) def _nodal_slip(self, solver, uvec): """V at every law-carrying pair node, from the CURRENT iterate — @@ -465,7 +566,13 @@ def residual_add(self, solver, uvec, Fh): idx = (ia, im, ib) Vq = _NQ @ V[list(idx)] Sq = _NQ @ S[list(idx)] - tq = self._laws[law_id].tau(Vq, Sq) + # theta varies by orders of magnitude along a fault and only ever + # enters a law through ln(theta): interpolate the LOG, which + # is also what keeps a positive-only state positive under + # quadratic shape functions (their undershoot sent theta + # negative at a quadrature point the plain way). + Tq = np.exp(_NQ @ np.log(self._theta[list(idx)])) + tq = self._laws[law_id].tau(Vq, Sq, Tq) contrib = s2 * L * (_NQ.T @ (_WQ * tq)) for j, k in enumerate(idx): if k >= 0: @@ -523,7 +630,13 @@ def tangent(self, solver, uvec): idx = (ia, im, ib) Vq = _NQ @ V[list(idx)] Sq = _NQ @ S[list(idx)] - dq = self._laws[law_id].dtau_dV(Vq, Sq) + # theta varies by orders of magnitude along a fault and only ever + # enters a law through ln(theta): interpolate the LOG, which + # is also what keeps a positive-only state positive under + # quadratic shape functions (their undershoot sent theta + # negative at a quadrature point the plain way). + Tq = np.exp(_NQ @ np.log(self._theta[list(idx)])) + dq = self._laws[law_id].dtau_dV(Vq, Sq, Tq) Ke = 2.0 * L * (_NQ.T @ (_NQ * (_WQ * dq)[:, None])) for i, ki in enumerate(idx): if ki < 0: diff --git a/tests/test_0846_fault_contact.py b/tests/test_0846_fault_contact.py index cad90991..d10b9d82 100644 --- a/tests/test_0846_fault_contact.py +++ b/tests/test_0846_fault_contact.py @@ -29,9 +29,11 @@ import underworld3 as uw from underworld3.utilities.fault_contact import (add_coulomb_fault_bc, add_frictionless_fault_bc, + add_rate_state_fault_bc, add_viscous_fault_bc, fault_normal_traction, - fault_slip, solve_with_fault) + fault_slip, solve_with_fault, + update_fault_state) from underworld3.utilities.fault_split import split_fault from underworld3.utilities.line_cut import cut_along_lines, pull_vertex_onto @@ -281,6 +283,48 @@ def solve_case(tag, register): assert info_rc["nonlinear_iterations"] < 40 +def test_rate_state_fault_evolves_to_steady_state(): + """Rate-and-state on the split fault: solve <-> state-update cycling. + + Velocity-strengthening parameters (a > b) under steady loading: each + solve is full Newton in V at frozen theta (sigma_n reaction-fed), the + ageing law then advances theta exactly for the solved slip rates. The + fixed point is theta = Dc/V (the monitor theta*V/Dc -> 1) with the slip + rate settling to the steady value of tau_ss = sigma(f0+(a-b)ln V/V0) + against the crack compliance. Six cycles with ~3 state e-folds each + must converge both the state and the slip. + """ + mesh = _split_box() + x, y = mesh.X + v = uw.discretisation.MeshVariable("vRS", mesh, 2, degree=2) + p = uw.discretisation.MeshVariable("pRS", mesh, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(mesh, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.tolerance = 1e-6 + stokes.petsc_use_pressure_nullspace = True + for side in ("Top", "Bottom", "Left", "Right"): + stokes.add_dirichlet_bc((y - 0.5, 0.0), side) + add_rate_state_fault_bc(stokes, 0.3, "Flt", a=0.020, b=0.010, + V0=1e-3, Dc=2e-3, sigma_n="reaction") + + peaks, monitors = [], [] + for step in range(6): + info = solve_with_fault(stokes, zero_init_guess=(step == 0)) + assert info["converged"], f"step {step} did not converge" + _s, V, leak = fault_slip(stokes, "Flt", info) + assert np.abs(leak).max() < 1e-12 + peaks.append(float(np.abs(V).max())) + monitors.append(update_fault_state(stokes, "Flt", 0.05, info)) + + assert peaks[-1] > 0.02, "the strengthening fault should still slide" + assert abs(peaks[-1] - peaks[-2]) < 0.05 * peaks[-1], ( + f"slip did not settle: {peaks}") + assert abs(monitors[-1] - 1.0) < 0.15, ( + f"state did not reach Dc/V: monitors {monitors}") + + def test_registration_refuses_an_unsplit_mesh(): base = uw.meshing.UnstructuredSimplexBox( minCoords=(0.0, 0.0), maxCoords=(1.0, 1.0), cellSize=1 / 8, From 77c4f9c791d6041f4a90f839367933da928cb49d Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 07:04:21 +1000 Subject: [PATCH 13/60] 3-D split-node faults: split a labelled patch, rim as the unsplit tip rule MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The 3-D counterpart of split_along_label: the fault is a triangulated patch of interior faces; everything strictly inside its rim — vertices, edges, and the faces themselves — is doubled, and the rim stays unsplit (slip must taper to zero there, exactly as at the 2-D tips). Where the 2-D rebuild hand-wires edge cones, the 3-D one builds the substituted cells UNINTERPOLATED (vertex 4-tuples carry no orientation) and lets DMPlexInterpolate derive faces and edges: cell and vertex numbering are preserved (asserted), and every old face or edge is recovered in the new chart by joining its mapped vertex tuple — a tuple that no longer joins was re-homed onto replicas, the 2-D fresh-facet rule one level deeper. Sides come from an orientability propagation over the patch plus a signed-volume test per fault face, and each interior vertex's cell star must flood into exactly two half-balls. Refusals: non-manifold, pinched, non-orientable or disconnected patches; a patch touching the domain boundary; a patch so coarse that a face has no interior vertex (its two copies would be one triple); and ANY partition-seam contact — a 3-D seam crossing is a curve, not the 2-D crossing vertex, and is deferred by design. uw.meshing.BoxInternalPatch supplies the conforming geometry for the science-first path: a planar polygon patch gmsh-embedded in a simplex box, physical name = fault name, rim strictly interior. split_fault dispatches on dimension; the pairing dict now carries vertex, edge AND face twins (P2 needs the edge midpoints). Tests (test_0848): exact chart deltas against an independent patch census; the Euler invariant chi 1 -> 2 (the slit adds the patch interior's characteristic); conformity and one-sided side labels; volume conservation and bit-identical replica coordinates; the load-bearing P2 DOF-independence solve (Plus datum must not leak onto coincident Minus DOFs, rim reads it from both sides); refusals. Underworld development team with AI support from Claude Code --- src/underworld3/meshing/__init__.py | 2 + src/underworld3/meshing/cartesian.py | 173 ++++++++ src/underworld3/utilities/fault_split.py | 492 ++++++++++++++++++++++- tests/test_0848_fault_split_3d.py | 207 ++++++++++ 4 files changed, 862 insertions(+), 12 deletions(-) create mode 100644 tests/test_0848_fault_split_3d.py diff --git a/src/underworld3/meshing/__init__.py b/src/underworld3/meshing/__init__.py index 0d60bb08..b16b9965 100644 --- a/src/underworld3/meshing/__init__.py +++ b/src/underworld3/meshing/__init__.py @@ -10,6 +10,7 @@ UnstructuredSimplexBox, StructuredQuadBox, BoxInternalBoundary, + BoxInternalPatch, ) from .spherical import ( @@ -78,6 +79,7 @@ "UnstructuredSimplexBox", "StructuredQuadBox", "BoxInternalBoundary", + "BoxInternalPatch", # Spherical meshes "SphericalShell", "SphericalShellInternalBoundary", diff --git a/src/underworld3/meshing/cartesian.py b/src/underworld3/meshing/cartesian.py index 4f965976..871af839 100644 --- a/src/underworld3/meshing/cartesian.py +++ b/src/underworld3/meshing/cartesian.py @@ -969,6 +969,179 @@ def box_return_coords_to_bounds(coords): return new_mesh +@timing.routine_timer_decorator +def BoxInternalPatch( + cellSize: float = 0.1, + minCoords: Optional[Tuple[float, float, float]] = (0, 0, 0), + maxCoords: Optional[Tuple[float, float, float]] = (1, 1, 1), + patch_points=None, + patch_name: str = "Fault", + degree: int = 1, + qdegree: int = 2, + filename=None, + refinement=None, + gmsh_verbosity=0, + units=None, + verbose=False, +): + r""" + Create a 3-D simplex box with an interior conforming surface patch. + + The patch is a planar polygon embedded in the tetrahedral mesh so that + a set of mesh FACES coincides with it exactly, labelled ``patch_name``. + Its rim stays strictly inside the box — this is the geometry a + split-node fault needs (:func:`underworld3.utilities.fault_split. + split_fault` duplicates everything inside the rim, and the rim is where + slip must taper to zero). Unlike :func:`BoxInternalBoundary`, the patch + does not span the domain and does not partition it into regions. + + Parameters + ---------- + cellSize : float + Target element size. + minCoords, maxCoords : tuple of float + Box corners. + patch_points : array_like, shape (N, 3) + Corners of the planar patch polygon, in order around its rim, + N >= 3. All points must be coplanar and strictly inside the box. + A disc (penny) patch is a many-sided polygon: sides of length + ``cellSize`` resolve the rim as well as the mesh can. + patch_name : str + Physical name for the patch — the fault name ``split_fault`` and + ``add_fault_bc`` will use. + + Example + ------- + >>> patch = np.array([[0.5, 0.3, 0.3], [0.5, 0.7, 0.3], + ... [0.5, 0.7, 0.7], [0.5, 0.3, 0.7]]) + >>> mesh = uw.meshing.BoxInternalPatch(cellSize=0.1, + ... patch_points=patch, + ... patch_name="FltA") + >>> child = uw.utilities.fault_split.split_fault(mesh, "FltA") + """ + + class boundaries_3D(Enum): + Bottom = 11 + Top = 12 + Right = 13 + Left = 14 + Front = 15 + Back = 16 + + class boundary_normals_3D(Enum): + Bottom = sympy.Matrix([0, 0, 1]) + Top = sympy.Matrix([0, 0, 1]) + Right = sympy.Matrix([1, 0, 0]) + Left = sympy.Matrix([1, 0, 0]) + Front = sympy.Matrix([0, 1, 0]) + Back = sympy.Matrix([0, 1, 0]) + + minCoords = tuple(uw.scaling.non_dimensionalise(c) for c in minCoords) + maxCoords = tuple(uw.scaling.non_dimensionalise(c) for c in maxCoords) + cellSize = uw.scaling.non_dimensionalise(cellSize) + + if len(minCoords) != 3: + raise ValueError("BoxInternalPatch is 3-D; in 2-D a fault is a " + "polyline — use Mesh.add_fault on any box mesh.") + patch = np.asarray(patch_points, dtype=float) + if patch.ndim != 2 or patch.shape[0] < 3 or patch.shape[1] != 3: + raise ValueError("patch_points must be an (N, 3) polygon, N >= 3.") + lo, hi = np.asarray(minCoords), np.asarray(maxCoords) + if not ((patch > lo).all() and (patch < hi).all()): + raise ValueError("the patch must sit strictly inside the box — a " + "fault that daylights is not yet supported.") + + members = {b.name: b.value for b in boundaries_3D} + patch_tag = max(members.values()) + 4 + members[patch_name] = patch_tag + boundaries = Enum("boundaries", members) + + if filename is None: + if uw.mpi.rank == 0: + os.makedirs(".meshes", exist_ok=True) + uw_filename = (f".meshes/uw_boxpatch_minC{minCoords}_" + f"maxC{maxCoords}_csize{cellSize}_" + f"{patch_name}{len(patch)}.msh") + else: + uw_filename = filename + + if uw.mpi.rank == 0: + import gmsh + + gmsh.initialize() + gmsh.option.setNumber("General.Verbosity", gmsh_verbosity) + gmsh.model.add("BoxInternalPatch") + + box = gmsh.model.occ.addBox( + minCoords[0], minCoords[1], minCoords[2], + maxCoords[0] - minCoords[0], maxCoords[1] - minCoords[1], + maxCoords[2] - minCoords[2]) + + corner_tags = [gmsh.model.occ.addPoint(*p, cellSize) for p in patch] + line_tags = [gmsh.model.occ.addLine(corner_tags[i], + corner_tags[(i + 1) % len(patch)]) + for i in range(len(patch))] + loop = gmsh.model.occ.addCurveLoop(line_tags) + patch_surface = gmsh.model.occ.addPlaneSurface([loop]) + gmsh.model.occ.synchronize() + + # The embed makes the volume mesh conform to the patch: its faces + # become tet faces, shared by one cell on each side. + gmsh.model.mesh.embed(2, [patch_surface], 3, box) + + # OCC numbers the box walls itself; identify them by centre of mass. + centre = { + "Bottom": (None, None, minCoords[2]), + "Top": (None, None, maxCoords[2]), + "Left": (minCoords[0], None, None), + "Right": (maxCoords[0], None, None), + "Front": (None, minCoords[1], None), + "Back": (None, maxCoords[1], None), + } + for dim2, tag in gmsh.model.getEntities(2): + if tag == patch_surface: + continue + com = gmsh.model.occ.getCenterOfMass(dim2, tag) + for wall, probe in centre.items(): + if all(p is None or abs(c - p) < 1e-9 + for c, p in zip(com, probe)): + value = boundaries[wall].value + gmsh.model.addPhysicalGroup(2, [tag], value) + gmsh.model.setPhysicalName(2, value, wall) + break + + gmsh.model.addPhysicalGroup(2, [patch_surface], patch_tag) + gmsh.model.setPhysicalName(2, patch_tag, patch_name) + gmsh.model.addPhysicalGroup(3, [box], 99999) + gmsh.model.setPhysicalName(3, 99999, "Elements") + + gmsh.option.setNumber("Mesh.CharacteristicLengthMax", cellSize) + gmsh.model.mesh.generate(3) + gmsh.write(uw_filename) + gmsh.finalize() + + new_mesh = Mesh( + uw_filename, + degree=degree, + qdegree=qdegree, + boundaries=boundaries, + boundary_normals=boundary_normals_3D, + coordinate_system_type=CoordinateSystemType.CARTESIAN, + useMultipleTags=True, + useRegions=True, + markVertices=True, + refinement=refinement, + refinement_callback=None, + units=units, + verbose=verbose, + ) + + from underworld3.meshing.bounding_surface import register_box_face_surfaces + register_box_face_surfaces(new_mesh, minCoords, maxCoords) + + return new_mesh + + @timing.routine_timer_decorator def StructuredQuadBox( elementRes: Optional[Tuple[int, int, int]] = (16, 16), diff --git a/src/underworld3/utilities/fault_split.py b/src/underworld3/utilities/fault_split.py index 87a33d91..de16ebeb 100644 --- a/src/underworld3/utilities/fault_split.py +++ b/src/underworld3/utilities/fault_split.py @@ -36,12 +36,15 @@ one-broadcast star-forest renumbering. Where the deletion pass compacts the point chart, the split grows it. -Restrictions in this version, all refused loudly rather than mishandled: -2-D only; a single open chain (no junctions, no loops, no single-facet -chains); the fault must not touch the domain boundary; and in parallel the -fault's cell fans must not touch the partition seam — the replicas are then -rank-local and the star-forest carries over by renumbering alone, exactly as -the deletion pass argues for its own seam freeze. +Restrictions in this version, all refused loudly rather than mishandled: a +single open chain in 2-D (no junctions, no loops, no single-facet chains) or +a single orientable manifold patch in 3-D (:func:`split_along_label_3d`; the +patch rim is the tip rule one dimension up); the fault must not touch the +domain boundary; and in parallel the fault's cell fans must not touch the +partition seam — the replicas are then rank-local and the star-forest carries +over by renumbering alone, exactly as the deletion pass argues for its own +seam freeze. (2-D additionally supports point crossings of the seam; 3-D does +not yet — a 3-D crossing is a curve, a design of its own.) An essential condition on the fault is NOT sound under the custom-P geometric multigrid hierarchy (the coarse levels do not carry the fault — see the @@ -387,8 +390,8 @@ def split_along_label(dm, name, value, plus_name, plus_value, """ if dm.getDimension() != 2: raise NotImplementedError( - "fault_split handles 2-D meshes; in 3-D the fault is not yet a " - "conforming facet chain to begin with.") + "split_along_label handles 2-D facet chains; use " + "split_along_label_3d for a labelled facet patch in 3-D.") pStart, pEnd = dm.getChart() cS, cE = dm.getHeightStratum(0) @@ -648,6 +651,468 @@ def v_new(x): return new, point_map, clone_map +def _patch_faces_and_edges(dm, fault_faces): + """Classify the labelled patch: rim vs interior edges and vertices. + + Returns ``(face_verts, edge_faces, rim_edges, interior_edges, rim_verts, + interior_verts, problem)`` where ``face_verts[f]`` is the face's vertex + triple and ``edge_faces`` maps each patch edge to the fault faces using + it. A patch edge used by one fault face is the RIM (the tip rule one + dimension up — those points stay unsplit); by two, patch interior; by + more, a non-manifold junction, refused. + """ + vS, vE = dm.getDepthStratum(0) + face_verts, edge_faces = {}, {} + for f in fault_faces: + closure, _ = dm.getTransitiveClosure(f) + face_verts[f] = [int(p) for p in closure if vS <= int(p) < vE] + for e in dm.getCone(f): + edge_faces.setdefault(int(e), []).append(f) + + problem = None + if any(len(fs) > 2 for fs in edge_faces.values()): + problem = (ValueError, + "fault_split: three or more fault faces meet along an " + "edge — the patch is non-manifold (a branching sheet). " + "Label each sheet separately.") + rim_edges = [e for e, fs in edge_faces.items() if len(fs) == 1] + interior_edges = [e for e, fs in edge_faces.items() if len(fs) == 2] + rim_verts = set() + for e in rim_edges: + rim_verts.update(int(q) for q in dm.getCone(e)) + all_verts = set() + for vv in face_verts.values(): + all_verts.update(vv) + interior_verts = all_verts - rim_verts + return (face_verts, edge_faces, rim_edges, interior_edges, + rim_verts, interior_verts, problem) + + +def _orient_patch(face_verts, edge_faces, X, vS, orientation=None): + """Give every fault face a consistently oriented vertex triple. + + Adjacent faces must traverse their shared edge in opposite directions — + the standard orientability propagation over the patch's face-adjacency + graph. The propagation also proves the patch is one connected, orientable + sheet; either failure is refused. The global sign — which side is Plus — + is the side the oriented normal points into: the ``orientation`` vector + when given, otherwise the sign making the largest component of the + area-weighted mean normal positive (deterministic, documented, and no + more meaningful than 2-D's coordinate-order tip rule). + + Returns ``(oriented, problem)`` with ``oriented[f]`` an ordered triple. + """ + faces = list(face_verts) + oriented, problem = {}, None + + def _directed(tri): + a, b, c = tri + return {(a, b), (b, c), (c, a)} + + stack = [faces[0]] + oriented[faces[0]] = list(face_verts[faces[0]]) + while stack: + f = stack.pop() + dirs = _directed(oriented[f]) + for e, fs in edge_faces.items(): + if f not in fs or len(fs) != 2: + continue + g = fs[0] if fs[1] == f else fs[1] + shared = [v for v in face_verts[g] if v in face_verts[f]] + u, w = shared[0], shared[1] + forward = (u, w) if (u, w) in dirs else (w, u) + if g not in oriented: + tri = list(face_verts[g]) + if forward in _directed(tri): + tri = [tri[0], tri[2], tri[1]] + oriented[g] = tri + stack.append(g) + elif forward in _directed(oriented[g]): + return oriented, (ValueError, + "fault_split: the patch is not orientable " + "— no consistent two-sided normal exists.") + if len(oriented) != len(faces): + return oriented, (ValueError, + "fault_split: the labelled faces form more than " + "one connected patch. Split one fault at a time — " + "label each patch under its own name.") + + normal_sum = np.zeros(3) + for tri in oriented.values(): + a, b, c = (X[t - vS] for t in tri) + normal_sum += np.cross(b - a, c - a) + reference = (np.asarray(orientation, dtype=float) + if orientation is not None + else np.eye(3)[int(np.argmax(np.abs(normal_sum)))]) + if float(normal_sum @ reference) < 0.0: + for f in oriented: + t0, t1, t2 = oriented[f] + oriented[f] = [t0, t2, t1] + return oriented, problem + + +def _take_sides_3d(dm, oriented, face_verts, cell_verts, interior_verts, + fault_face_set, X, vS, cS): + """Assign every patch-adjacent cell to the Plus or Minus half-ball. + + The two support cells of each fault face are classified geometrically: + with the face's oriented triple :math:`(a, b, c)` and the cell's fourth + vertex :math:`d`, the sign of :math:`\\det[b-a,\\; c-a,\\; d-a]` says + which side of the oriented plane the cell lies on (positive = Plus, the + side the normal points into). Around each interior patch vertex the rest + of the star is then flooded: cells connect through shared non-fault faces + containing the vertex, the patch cuts that star into exactly two + components, and each component inherits the side of the fault-face + supports it contains. Anything else — one component (a pinched sheet), + an unseeded component, conflicting seeds — is a mis-labelling, refused. + + Returns ``(side_of_cell, substitutions, problem)``; ``substitutions[c]`` + is the set of vertices cell ``c`` must swap for replicas. + """ + side_of_cell, substitutions = {}, {} + for f in fault_face_set: + a, b, c = (X[t - vS] for t in oriented[f]) + for cell in (int(q) for q in dm.getSupport(f)): + tet = cell_verts[cell - cS] + d = next(t for t in tet if t not in face_verts[f]) + volume = float(np.linalg.det( + np.array([b - a, c - a, X[d - vS] - a]))) + if volume == 0.0: + return {}, {}, (ValueError, + "fault_split: a fault-flanking cell is " + "degenerate — zero volume against the fault " + "plane.") + side = 1 if volume > 0.0 else -1 + if side_of_cell.setdefault(cell, side) != side: + return {}, {}, (ValueError, + "fault_split: a cell flanks fault faces " + "from opposite sides — the patch folds " + "back through its own star.") + + star = {v: [] for v in interior_verts} + for i, tet in enumerate(cell_verts): + for t in tet: + if int(t) in star: + star[int(t)].append(cS + i) + + vS_dm, vE_dm = dm.getDepthStratum(0) + verts_of_face = dict(face_verts) + + def _face_verts(f): + if f not in verts_of_face: + closure, _ = dm.getTransitiveClosure(f) + verts_of_face[f] = [int(p) for p in closure + if vS_dm <= int(p) < vE_dm] + return verts_of_face[f] + + for v, cells in star.items(): + in_star = set(cells) + neighbours = {c: [] for c in cells} + for c in cells: + for f in (int(q) for q in dm.getCone(c)): + if f in fault_face_set or v not in _face_verts(f): + continue + for other in (int(q) for q in dm.getSupport(f)): + if other != c and other in in_star: + neighbours[c].append(other) + components, seen = [], set() + for c in cells: + if c in seen: + continue + component, queue = [], [c] + seen.add(c) + while queue: + q = queue.pop() + component.append(q) + for r in neighbours[q]: + if r not in seen: + seen.add(r) + queue.append(r) + components.append(component) + if len(components) != 2: + return {}, {}, (ValueError, + "fault_split: the patch does not cut a vertex " + "star into two half-balls — the sheet is " + "pinched or the label leaks off the patch.") + for component in components: + seeds = {side_of_cell[c] for c in component if c in side_of_cell} + if len(seeds) != 1: + return {}, {}, (ValueError, + "fault_split: a star component seeds from " + "both sides (or neither) — the side " + "assignment is inconsistent at a vertex.") + side = seeds.pop() + for c in component: + if side_of_cell.setdefault(c, side) != side: + return {}, {}, (ValueError, + "fault_split: a cell is assigned to " + "opposite sides by two vertex stars.") + if side < 0: + substitutions.setdefault(c, set()).add(v) + return side_of_cell, substitutions, None + + +def split_along_label_3d(dm, name, value, plus_name, plus_value, + minus_name, minus_value, orientation=None, + verbose=False): + """Duplicate the interior of a labelled facet patch in a 3-D mesh. + + The 3-D counterpart of :func:`split_along_label`: the fault is a + triangulated PATCH of interior faces, its RIM (the boundary edges and + vertices of the patch) is the tip rule one dimension up and stays + unsplit, and everything strictly inside the rim — vertices, edges, and + the faces themselves — is doubled. Slip data must vanish on the rim. + + Where the 2-D rebuild hand-wires edge cones, this one builds the + substituted cells UNINTERPOLATED (vertex 4-tuples carry no orientation) + and lets ``DMPlexInterpolate`` derive faces and edges — cell and vertex + numbering are preserved, and every old face or edge is recovered in the + new chart by joining its (mapped) vertex tuple. A tuple that no longer + joins was re-homed onto replicas; its replacement is found by collapsing + replicas back to originals, exactly the 2-D fresh-facet rule. + + COLLECTIVE. Refusals beyond the 2-D list: a non-manifold or pinched or + non-orientable patch; a patch so coarse that a fault face has no + interior vertex (its two copies would be the same vertex triple — the + 3-D analogue of the single-facet chain); and, in this version, ANY + contact between the patch's cell star and the partition seam — 3-D seam + crossings are a curve, not a point, and are not yet designed. + + Parameters and returns match :func:`split_along_label`, with + ``orientation`` a reference NORMAL vector (Plus is the side it points + into) rather than a chain direction. + """ + if dm.getDimension() != 3: + raise NotImplementedError( + "split_along_label_3d handles 3-D meshes; use split_along_label " + "for a 2-D facet chain.") + + pStart, pEnd = dm.getChart() + cS, cE = dm.getHeightStratum(0) + vS, vE = dm.getDepthStratum(0) + fS, fE = dm.getHeightStratum(1) + eS, eE = dm.getDepthStratum(1) + X = _coords(dm) + nc, nv = cE - cS, vE - vS + + fault_faces = [] + # hasLabel + stratum-size guards for the petsc4py NULL-wrapper aborts, + # exactly as in the 2-D path. + if dm.hasLabel(name) and dm.getLabel(name).getStratumSize(int(value)) > 0: + stratum = dm.getLabel(name).getStratumIS(int(value)) + fault_faces = [int(p) for p in stratum.getIndices() + if fS <= int(p) < fE] + fault_face_set = set(fault_faces) + + shared = _shared_points(dm) + + cell_verts = np.empty((nc, 4), dtype=np.int64) + for c in range(cS, cE): + closure, _ = dm.getTransitiveClosure(c) + cell_verts[c - cS] = [int(p) for p in closure if vS <= int(p) < vE] + + problem = None + interior_verts, interior_edges, rim_verts = set(), [], set() + face_verts, oriented, substitutions = {}, {}, {} + if fault_faces: + (face_verts, edge_faces, _rim_edges, interior_edges, rim_verts, + interior_verts, problem) = _patch_faces_and_edges(dm, fault_faces) + + if problem is None and any( + dm.getSupportSize(f) != 2 for f in fault_faces): + problem = (ValueError, + "fault_split: a fault face lies on the domain " + "boundary — the patch rim must be strictly interior.") + + if problem is None: + patch_verts = rim_verts | interior_verts + boundary_verts = set() + for f in range(fS, fE): + if dm.getSupportSize(f) == 1 and not shared[f - pStart]: + boundary_verts.update( + int(p) for p in dm.getTransitiveClosure(f)[0] + if vS <= int(p) < vE) + if patch_verts & boundary_verts: + problem = (ValueError, + "fault_split: the patch touches the domain " + "boundary. A fault that daylights is not yet " + "supported — keep the rim strictly interior.") + + if problem is None and any( + not (set(face_verts[f]) & interior_verts) + for f in fault_faces): + problem = (ValueError, + "fault_split: a fault face has no interior vertex, " + "so its two copies would carry the same vertex " + "triple. The patch is too coarse to split — refine " + "it until every face reaches inside the rim.") + + # v1 seam rule, deliberately the most conservative one: the whole + # cell star of the patch must be rank-interior. A 3-D seam crossing + # is a CURVE of shared points, a genuinely new design, not the 2-D + # crossing-vertex rule applied pointwise. + if problem is None and bool(shared.any()): + patch_verts = rim_verts | interior_verts + for i, tet in enumerate(cell_verts): + if not (set(int(t) for t in tet) & patch_verts): + continue + closure, _ = dm.getTransitiveClosure(cS + i) + if shared[np.asarray(closure, dtype=np.int64) + - pStart].any(): + problem = (RuntimeError, + "fault_split: the fault patch's cell star " + "touches the partition seam. 3-D faults must " + "be rank-interior in this version — " + "partition around the fault.") + break + + if problem is None: + oriented, problem = _orient_patch(face_verts, edge_faces, X, vS, + orientation=orientation) + + side_of_cell = {} + if problem is None: + side_of_cell, substitutions, problem = _take_sides_3d( + dm, oriented, face_verts, cell_verts, interior_verts, + fault_face_set, X, vS, cS) + + if problem is None: + for f in fault_faces: + sides = sorted(side_of_cell.get(int(q), 0) + for q in dm.getSupport(f)) + if sides != [-1, 1]: + problem = (ValueError, + "fault_split: the two cells of a fault face " + "were not classified onto opposite sides — " + "the side assignment is inconsistent across " + "the patch.") + break + + # One synchronisation point for every refusal — the 2-D contract. + if uw.mpi.size > 1: + gathered = uw.mpi.comm.allgather((problem, len(fault_faces))) + problems = [p for p, _m in gathered if p is not None] + seam = [p for p in problems if p[0] is RuntimeError] + problem = seam[0] if seam else (problems[0] if problems else None) + if problem is None and sum(m for _p, m in gathered) == 0: + problem = (ValueError, + f"fault_split: no faces carry label {name!r} value " + f"{value} on any rank.") + elif problem is None and not fault_faces: + problem = (ValueError, + f"fault_split: no faces carry label {name!r} value " + f"{value}.") + if problem is not None: + exc, message = problem + raise exc(message) + + # ----------------------------------------------------------- the rebuild + interior_sorted = sorted(interior_verts) + replica_index = {v: i for i, v in enumerate(interior_sorted)} + k = len(interior_sorted) + + def v_uninterp(t, subs): + if t in subs: + return nc + nv + replica_index[t] + return nc + (t - vS) + + new = PETSc.DMPlex().create(comm=dm.comm) + new.setDimension(3) + new.setChart(0, nc + nv + k) + for i in range(nc): + new.setConeSize(i, 4) + new.setUp() + empty = frozenset() + for c in range(cS, cE): + subs = substitutions.get(c, empty) + new.setCone(c - cS, [v_uninterp(int(t), subs) + for t in cell_verts[c - cS]]) + new.symmetrize() + new.stratify() + new.interpolate() + + vS2, vE2 = new.getDepthStratum(0) + if (new.getHeightStratum(0) != (0, nc) + or (vS2, vE2) != (nc, nc + nv + k)): + raise RuntimeError( + "fault_split internal: DMPlexInterpolate moved the cell or " + "vertex numbering — the point-map arithmetic below relies on " + "both being preserved.") + + source_rows = np.concatenate([ + np.arange(nv, dtype=np.int64), + np.asarray(interior_sorted, dtype=np.int64) - vS]) \ + if k else np.arange(nv, dtype=np.int64) + _write_coordinates(new, dm, (vS2, vE2), source_rows) + + point_map = np.full(pEnd - pStart, -1, dtype=np.int64) + point_map[np.arange(cS, cE) - pStart] = np.arange(nc) + point_map[np.arange(vS, vE) - pStart] = vS2 + np.arange(nv) + + def v_new(t): + return int(vS2 + (t - vS)) + + def replica_new(t): + return int(vS2 + nv + replica_index[t]) + + clone_map = {replica_new(v): v for v in interior_sorted} + + # Every old face and edge is recovered by joining its vertex tuple in the + # new chart: found directly, it survived (Plus side keeps the original + # vertices); found only after replica substitution, it was re-homed onto + # the Minus side. The doubled points — fault faces and interior patch + # edges — are found BOTH ways: the original maps, the substituted copy + # clones. The split invents no connectivity, so a tuple found neither + # way is a wiring bug, raised. + interior_edge_set = set(interior_edges) + minus_faces = [] + for p, tuple_size in ((slice(fS, fE), 3), (slice(eS, eE), 2)): + for q in range(p.start, p.stop): + closure, _ = dm.getTransitiveClosure(q) + verts = [int(t) for t in closure if vS <= int(t) < vE] + direct = new.getFullJoin([v_new(t) for t in verts]) + doubled = (q in fault_face_set) or (q in interior_edge_set) + if len(direct) == 1: + point_map[q - pStart] = int(direct[0]) + subs_tuple = [replica_new(t) if t in replica_index else v_new(t) + for t in verts] + if doubled or len(direct) != 1: + rehomed = new.getFullJoin(subs_tuple) + if len(rehomed) != 1: + raise RuntimeError( + "fault_split internal: an old point joins to " + f"{len(direct)} direct and {len(rehomed)} " + "substituted points in the new chart.") + clone_map[int(rehomed[0])] = q + if q in fault_face_set: + minus_faces.append(int(rehomed[0])) + + _copy_labels(new, dm, point_map) + _clone_labels(new, dm, clone_map) + + new.createLabel(plus_name) + plus = new.getLabel(plus_name) + for f in fault_faces: + plus.setValue(int(point_map[f - pStart]), int(plus_value)) + new.createLabel(minus_name) + minus = new.getLabel(minus_name) + for f in minus_faces: + minus.setValue(int(f), int(minus_value)) + + if uw.mpi.size > 1: + # No dup_new: the seam rule above guarantees every shared point is + # far from the patch, so the leaf set carries over by renumbering + # alone — the 2-D no-crossing case. + _rebuild_point_sf(new, dm, point_map, new.getChart()[1]) + + if verbose and fault_faces: + uw.pprint(f"[fault_split {name!r}] duplicated {k} vertices, " + f"{len(interior_edges)} edges and {len(fault_faces)} " + f"faces of the patch; sides are {plus_name!r} / " + f"{minus_name!r}") + return new, point_map, clone_map + + def _pull_seam_vertices_onto_crossings(dm, poly): """Move a SHARED vertex onto each fault-polyline x partition-seam intersection; return the (possibly copied) dm. @@ -901,9 +1366,10 @@ def split_fault(mesh, name, orientation=None, verbose=False): The result is a new, standalone :class:`Mesh` on which every continuous FE space is discontinuous across the fault: the surface's facets are doubled into boundaries ``Plus`` and ``Minus`` (coincident, no shared - DOFs except the two tips), and slip is prescribed with ordinary essential - conditions on those two names. A slip datum must taper to zero at the - tips, which stay single points shared by both sides. + DOFs except the tips — the two chain endpoints in 2-D, the patch rim in + 3-D), and slip is prescribed with ordinary essential conditions on those + two names. A slip datum must taper to zero at the tips/rim, which stay + single points shared by both sides. The source mesh is untouched, and the operation is re-applicable: when the fault moves, re-cut the base mesh at the new position and split again — @@ -935,7 +1401,9 @@ def split_fault(mesh, name, orientation=None, verbose=False): boundaries = _boundaries_with_sides(mesh, name) plus_name, minus_name = f"{name}Plus", f"{name}Minus" pStart, _pEnd = mesh.dm.getChart() - new_dm, point_map, clone_map = split_along_label( + splitter = (split_along_label if mesh.dm.getDimension() == 2 + else split_along_label_3d) + new_dm, point_map, clone_map = splitter( mesh.dm, name, int(mesh.boundaries[name].value), plus_name, int(boundaries[plus_name].value), minus_name, int(boundaries[minus_name].value), diff --git a/tests/test_0848_fault_split_3d.py b/tests/test_0848_fault_split_3d.py new file mode 100644 index 00000000..f9ca2d9d --- /dev/null +++ b/tests/test_0848_fault_split_3d.py @@ -0,0 +1,207 @@ +"""Split-node faults in 3-D: the labelled patch becomes a discontinuity. + +The 3-D counterparts of the ``test_0845`` checks, one dimension up: exact +chart deltas and the Euler-characteristic invariant (a ball with an interior +slit gains the patch's interior characteristic, chi 1 -> 2 for a disc-like +patch), conformity, coincident replica coordinates, volume conservation, +label integrity — and the load-bearing DOF-independence solve, where a +Dirichlet datum on the Plus side must NOT leak onto the coincident Minus +DOFs while the (unsplit) rim reads it from both sides. +""" + +import numpy as np +import pytest + +import underworld3 as uw +from underworld3.utilities.fault_split import split_fault + +PATCH = np.array([[0.5, 0.30, 0.30], [0.5, 0.70, 0.30], + [0.5, 0.70, 0.70], [0.5, 0.30, 0.70]]) + + +@pytest.fixture(scope="module") +def box_with_patch(): + return uw.meshing.BoxInternalPatch(cellSize=0.15, patch_points=PATCH, + patch_name="FltA") + + +@pytest.fixture(scope="module") +def split_box(box_with_patch): + return split_fault(box_with_patch, "FltA") + + +def _counts(dm): + return {key: b - a for key, (a, b) in dict( + c=dm.getHeightStratum(0), f=dm.getHeightStratum(1), + e=dm.getDepthStratum(1), v=dm.getDepthStratum(0)).items()} + + +def _patch_census(dm, name, value): + """(faces, interior_edges, interior_verts) of the labelled patch.""" + fS, fE = dm.getHeightStratum(1) + vS, vE = dm.getDepthStratum(0) + faces = [int(p) for p in + dm.getLabel(name).getStratumIS(int(value)).getIndices() + if fS <= int(p) < fE] + edge_use, rim_verts, all_verts = {}, set(), set() + for f in faces: + for e in dm.getCone(f): + edge_use[int(e)] = edge_use.get(int(e), 0) + 1 + all_verts.update(int(p) for p in dm.getTransitiveClosure(f)[0] + if vS <= int(p) < vE) + interior_edges = [e for e, n in edge_use.items() if n == 2] + for e, n in edge_use.items(): + if n == 1: + rim_verts.update(int(q) for q in dm.getCone(e)) + return faces, interior_edges, sorted(all_verts - rim_verts) + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_chart_deltas_and_euler(box_with_patch, split_box): + dm0, dm1 = box_with_patch.dm, split_box.dm + c0, c1 = _counts(dm0), _counts(dm1) + value = int(box_with_patch.boundaries["FltA"].value) + faces, interior_edges, interior_verts = _patch_census(dm0, "FltA", value) + + assert c1["c"] == c0["c"] + assert c1["v"] - c0["v"] == len(interior_verts) + assert c1["e"] - c0["e"] == len(interior_edges) + assert c1["f"] - c0["f"] == len(faces) + + chi0 = c0["v"] - c0["e"] + c0["f"] - c0["c"] + chi1 = c1["v"] - c1["e"] + c1["f"] - c1["c"] + # the slit adds the patch interior's characteristic: V_i - E_i + F, + # which is 1 for any disc-like patch, independent of resolution + assert chi0 == 1 and chi1 == 2 + assert (chi1 - chi0) == (len(interior_verts) - len(interior_edges) + + len(faces)) == 1 + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_conformity_and_sides(split_box): + dm = split_box.dm + fS, fE = dm.getHeightStratum(1) + supports = np.array([dm.getSupportSize(f) for f in range(fS, fE)]) + assert supports.max() <= 2 + + for side in ("FltAPlus", "FltAMinus"): + value = int(split_box.boundaries[side].value) + assert dm.getLabel(side).getStratumSize(value) > 0 + pts = dm.getLabel(side).getStratumIS(value).getIndices() + assert all(dm.getSupportSize(int(p)) == 1 for p in pts) + n_plus = dm.getLabel("FltAPlus").getStratumSize( + int(split_box.boundaries["FltAPlus"].value)) + n_minus = dm.getLabel("FltAMinus").getStratumSize( + int(split_box.boundaries["FltAMinus"].value)) + assert n_plus == n_minus + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_volume_and_coincidence(box_with_patch, split_box): + def total_volume(dm): + dm.getCoordinatesLocal() + cS, cE = dm.getHeightStratum(0) + volumes = [dm.computeCellGeometryFVM(c)[0] for c in range(cS, cE)] + assert min(volumes) > 0 + return sum(volumes) + + v0, v1 = total_volume(box_with_patch.dm), total_volume(split_box.dm) + assert abs(v1 - v0) < 1e-12 * v0 + + vS0, _ = box_with_patch.dm.getDepthStratum(0) + vS1, _ = split_box.dm.getDepthStratum(0) + X0 = np.asarray(box_with_patch.dm.getCoordinatesLocal().array + ).reshape(-1, 3) + X1 = np.asarray(split_box.dm.getCoordinatesLocal().array).reshape(-1, 3) + pairs = split_box._fault_point_pairs["FltA"] + n_vertex_pairs = 0 + for q_minus, q_plus in pairs.items(): + if split_box.dm.getPointDepth(q_minus) == 0: + assert (X1[q_minus - vS1] == X1[q_plus - vS1]).all() + n_vertex_pairs += 1 + assert n_vertex_pairs > 0 + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_pairing_census(box_with_patch, split_box): + value = int(box_with_patch.boundaries["FltA"].value) + faces, interior_edges, interior_verts = _patch_census( + box_with_patch.dm, "FltA", value) + pairs = split_box._fault_point_pairs["FltA"] + by_depth = {} + for q_minus in pairs: + d = split_box.dm.getPointDepth(q_minus) + by_depth[d] = by_depth.get(d, 0) + 1 + # replica vertices + doubled interior edges (P2 midpoints) + doubled + # faces; re-homed minus spokes are excluded (their originals dropped) + assert by_depth == {0: len(interior_verts), 1: len(interior_edges), + 2: len(faces)} + + +@pytest.mark.level_2 +@pytest.mark.tier_b +def test_dof_independence_p2(split_box): + u = uw.discretisation.MeshVariable("u_0848", split_box, 1, degree=2) + poisson = uw.systems.Poisson(split_box, u_Field=u) + poisson.constitutive_model = uw.constitutive_models.DiffusionModel + poisson.constitutive_model.Parameters.diffusivity = 1.0 + poisson.f = 0.0 + for wall in ("Bottom", "Top", "Right", "Left", "Front", "Back"): + poisson.add_dirichlet_bc(0.0, wall) + poisson.add_dirichlet_bc(1.0, "FltAPlus") + poisson.solve() + + vals = np.asarray(u.data[:, 0]) + coords = u.coords + sec = split_box.dm.getLocalSection() + + def dof_of(pt): + if sec.getFieldDof(pt, u.field_id) == 0: + return None + return sec.getFieldOffset(pt, u.field_id) + + n_checked = 0 + for q_minus, q_plus in split_box._fault_point_pairs["FltA"].items(): + d_minus, d_plus = dof_of(q_minus), dof_of(q_plus) + if d_minus is None or d_plus is None: + continue + assert np.allclose(coords[d_minus], coords[d_plus]) + assert abs(vals[d_plus] - 1.0) < 1e-9 + # a shared DOF would read exactly 1.0 on the minus side too + assert 0.0 < vals[d_minus] < 1.0 - 1e-9 + n_checked += 1 + assert n_checked > 0 + + # the rim is UNSPLIT: every datum-side value there reads from both + # sides, so the whole-fault label's rim points sit at exactly 1 + assert vals.min() >= 0.0 and vals.max() <= 1.0 + 1e-12 + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_refusals(box_with_patch): + from underworld3.utilities.fault_split import split_along_label_3d + + # missing label + with pytest.raises(ValueError, match="no faces carry label"): + split_along_label_3d(box_with_patch.dm, "NoSuchFault", 1, + "P", 90, "M", 91) + + # double split: the child's patch faces are one-sided boundaries now + child = split_fault(box_with_patch, "FltA") + with pytest.raises(ValueError): + split_fault(child, "FltA") + + +@pytest.mark.level_1 +@pytest.mark.tier_b +def test_daylighting_patch_refused(): + # a patch reaching the wall is refused at mesh construction + spanning = np.array([[0.5, -0.1, 0.3], [0.5, 1.1, 0.3], + [0.5, 1.1, 0.7], [0.5, -0.1, 0.7]]) + with pytest.raises(ValueError, match="strictly inside"): + uw.meshing.BoxInternalPatch(cellSize=0.2, patch_points=spanning) From 5a85682bb937abbdd96c9ef5c662919b271c4d3a Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 07:25:02 +1000 Subject: [PATCH 14/60] 3-D fault contact: pair blocks, P2-triangle traces, collinear tangent MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The pair blocks become 2x3 mean/jump in the (n, t1, t2) frame — the jump-normal row constrained as always, TWO free slip rows — with the frame drawn from a single authority (_tangent_frame) shared between rotated_bc's rotation and the interface assembler's slip components. _InterfaceAssembler generalises to (dim-1)-component slip. The 3-D trace element is the P2 triangle (6-point degree-4 Dunavant rule); laws act on the slip magnitude with collinear traction tau_vec = tau(|V|) V-hat, and the consistent tangent is the 2x2 block (dtau/dV) VV^T + (tau/|V|)(I - VV^T), regularised at |V| -> 0 by the laws' own smoothness (the zero-slip block is dtau/dV(0) I). The sigma_n de-smear uses the P1 SUB-LUMPED triangle mass (A/12 per vertex, A/4 per midpoint) because the lumped P2-triangle vertex rows vanish — the known trap. The 2-D path keeps its signed-V evaluation and lumped line mass; the full 2-D suite is unregressed. Validation: penny-shaped frictionless crack against the classical oracle dv(r) = (8/3pi)(dtau/eta) sqrt(a^2 - r^2) (nu = 1/2) — leak at machine zero, slip parallel to the resolved shear, amplitude below the infinite-medium value and converging toward it from below under both h-refinement (peak ratio 0.930 -> 0.947) and box growth (-> 0.941), as the finite Dirichlet box demands. Study in ~/+Simulations/fault_split_3d/penny_crack. New level_2 tests: the viscous family (monotone to the weld) and Coulomb slide/stick with reaction-fed sigma_n, both in 3-D. Also from liaison with the placed-surface session: eta_f = eta_layer/w is the LAYER'S weak-zone viscosity, not the background's (both docstrings reworded), and the manifold contract is recorded as a protocol with Surface (2-D) and FaultSurface (3-D) as concrete types. Underworld development team with AI support from Claude Code --- .../FAULT_CONTACT_DEPLOYMENT_2026-08.md | 10 + .../cython/petsc_generic_snes_solvers.pyx | 7 +- src/underworld3/utilities/fault_contact.py | 314 +++++++++++++----- src/underworld3/utilities/rotated_bc.py | 19 +- tests/test_0848_fault_split_3d.py | 71 ++++ 5 files changed, 326 insertions(+), 95 deletions(-) diff --git a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md index f84edeeb..c285c356 100644 --- a/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md +++ b/docs/developer/design/FAULT_CONTACT_DEPLOYMENT_2026-08.md @@ -79,6 +79,16 @@ child = mesh.add_fault(fault, ...) # adapt→cut→split, or split-only stokes.add_fault_bc(law, fault.name) # "free" | ("viscous", eta_f) | friction later ``` +The manifold contract is a PROTOCOL, not one class (placed-surface +session's counter-proposal, 2026-08-05, adopted): a fault manifold is +anything with a ``name``, geometry, signed-distance/director sampling, +and per-node ``point_data``. The concrete types are ``uw.meshing.Surface`` +(the 2-D polyline — what ``add_fault`` consumes today) and +``uw.meshing.FaultSurface`` (the 3-D pyvista-triangulated sheet, which +predates both branches and has no 2-D form). Documentation must not name +``FaultSurface`` as "the" manifold object — the landed 2-D capability +would then have none. + ## Parallel: the seam-vertex crossing rule (maintainer ruling, 2026-08-04) Never synchronise interior replicas across ranks. Instead **pin a mesh vertex diff --git a/src/underworld3/cython/petsc_generic_snes_solvers.pyx b/src/underworld3/cython/petsc_generic_snes_solvers.pyx index b7922de6..76a7e67a 100644 --- a/src/underworld3/cython/petsc_generic_snes_solvers.pyx +++ b/src/underworld3/cython/petsc_generic_snes_solvers.pyx @@ -5927,9 +5927,10 @@ class SNES_Stokes_SaddlePt(SolverBaseClass): * ``conds = 0`` — frictionless (perfectly slippery): zero shear traction, the slip emerges (the stress-driven crack). * ``conds`` > 0 — viscous interface :math:`\tau = \eta_f V` with - ``conds`` = :math:`\eta_f` (bulk viscosity per unit length; the - zero-thickness limit of a band of viscosity :math:`\eta_b` and - width :math:`w` is :math:`\eta_f = \eta_b/w`). ``conds`` large + ``conds`` = :math:`\eta_f` (viscosity per unit length; the + zero-thickness limit of a band is :math:`\eta_f = \eta_{band}/w`, + where :math:`\eta_{band}` is the band's OWN weak-zone viscosity — + not the background's — and :math:`w` its width). ``conds`` large removes the fault (only the JUMP is penalised — nothing becomes rigid). diff --git a/src/underworld3/utilities/fault_contact.py b/src/underworld3/utilities/fault_contact.py index 16144ebe..275182bc 100644 --- a/src/underworld3/utilities/fault_contact.py +++ b/src/underworld3/utilities/fault_contact.py @@ -67,9 +67,6 @@ def add_frictionless_fault_bc(solver, boundary): "solver's mesh must come from fault_split.split_fault, which is " "what records the coincident DOF pairs. " f"Available: {sorted(pairs) or 'none'}") - if solver.mesh.dim != 2: - raise NotImplementedError( - "fault contact is 2-D; the 3-D fault is not yet a split surface.") registered = getattr(solver, "_fault_contact_faults", []) if boundary not in registered: solver._fault_contact_faults = registered + [boundary] @@ -81,9 +78,12 @@ def add_viscous_fault_bc(solver, conds, boundary): .. math:: \hat t\cdot\sigma\cdot\hat n = \eta_f\, V, \qquad V = [\mathbf v]\cdot\hat t, - with ``conds`` = :math:`\eta_f`, the interface viscosity (bulk viscosity - per unit length: the zero-thickness limit of a shear band of viscosity - :math:`\eta_b` and width :math:`w` is :math:`\eta_f = \eta_b/w`). The + with ``conds`` = :math:`\eta_f`, the interface viscosity (viscosity per + unit length: the zero-thickness limit of a shear band is + :math:`\eta_f = \eta_{band}/w` with :math:`\eta_{band}` the band's OWN + — weak-zone — viscosity and :math:`w` its width. Not the background + viscosity: matching a layer means :math:`V = \tau w/\eta_{band}`, and + with the background value the layer would not be weak). The no-opening constraint rides along as always. Limits: ``conds = 0`` is the frictionless contact; ``conds`` large welds the fault. The natural scale is :math:`\eta/a` (bulk viscosity over fault half-length), at which the @@ -274,7 +274,8 @@ def update_fault_state(solver, boundary, dt, solve_result): state = solver._fault_state[boundary] Dc = state["Dc"] assembler = _InterfaceAssembler(solver, include=(boundary,)) - V = np.abs(assembler._nodal_slip(solver, solve_result["U"])[:-1]) + V = np.linalg.norm(assembler._nodal_slip(solver, solve_result["U"])[:-1], + axis=1) pts = sorted(assembler._points, key=assembler._points.get) theta = np.array([state["by_point"].get(q, state["theta0"]) for q in pts]) @@ -382,6 +383,25 @@ def _fault_pair_nodes(solver, boundary): return out +def _tangent_frame(nrm): + """The in-fault tangent(s) completing a pair block's rotation frame. + + One tangent in 2-D (the quarter-turn of the normal), two in 3-D (t̂1 + from the coordinate axis least aligned with the normal — deterministic + per node — and t̂2 completing the right-handed triad). The SINGLE + authority for the frame: the pair blocks in ``rotated_bc`` and the + interface assembler's slip components must agree row for row. + """ + nrm = np.asarray(nrm, dtype=float) + if len(nrm) == 2: + return [np.array([-nrm[1], nrm[0]])] + axis = np.zeros(3) + axis[int(np.argmin(np.abs(nrm)))] = 1.0 + t1 = np.cross(nrm, axis) + t1 = t1 / np.linalg.norm(t1) + return [t1, np.cross(nrm, t1)] + + # 3-point Gauss-Legendre on [0,1] (exact through quartics — the tangent's # N_i N_j weighting of a P2 trace is quartic) and the quadratic line shape # functions at those points, node order (end, midpoint, end). @@ -391,6 +411,22 @@ def _fault_pair_nodes(solver, boundary): 4.0 * _XI * (1.0 - _XI), 2.0 * _XI * (_XI - 0.5)]) +# The 3-D trace element is the P2 TRIANGLE: 6-point degree-4 Dunavant rule +# (N_i N_j of P2 is quartic, as on the line) with weights summing to 1 on +# the unit-area reference, and the quadratic shapes in barycentric +# coordinates, node order (v0, v1, v2, e01, e12, e20). +_L1, _W1 = 0.445948490915965, 0.223381589678011 +_L2, _W2 = 0.091576213509771, 0.109951743655322 +_LAMBDA3 = np.array([[1 - 2 * _L1, _L1, _L1], [_L1, 1 - 2 * _L1, _L1], + [_L1, _L1, 1 - 2 * _L1], + [1 - 2 * _L2, _L2, _L2], [_L2, 1 - 2 * _L2, _L2], + [_L2, _L2, 1 - 2 * _L2]]) +_WQ3 = np.array([_W1, _W1, _W1, _W2, _W2, _W2]) +_NQ3 = np.column_stack( + [_LAMBDA3[:, i] * (2.0 * _LAMBDA3[:, i] - 1.0) for i in range(3)] + + [4.0 * _LAMBDA3[:, i] * _LAMBDA3[:, j] + for i, j in ((0, 1), (1, 2), (2, 0))]) + class _InterfaceAssembler: r"""Residual and consistent tangent of the interface laws, per iterate. @@ -415,6 +451,7 @@ class _InterfaceAssembler: def __init__(self, solver, include=()): dm = solver.dm dim = solver.mesh.dim + ncomp = dim - 1 # slip components per node lsec = dm.getLocalSection() l2g = dm.getLGMap() csec = dm.getCoordinateSection() @@ -442,19 +479,21 @@ def node_index(q): q = int(q) qm = minus_of.get(q) if qm is None: - return -1 # a tip: V = 0, no DOF + return -1 # a tip/rim node: V = 0, no DOF if q in index_of: return index_of[q] lo = lsec.getFieldOffset(qm, _VELOCITY_FIELD) - g = int(l2g.apply([lo + 1])[0]) nrm = normals[q] index_of[q] = len(rows) fault_of.append(current[0]) - rows.append(g) + # one global row per slip component, on the Minus point's + # rotated rows — the jump-tangent rows of the pair block + rows.append([int(l2g.apply([lo + 1 + a])[0]) + for a in range(ncomp)]) lo_p.append(lsec.getFieldOffset(q, _VELOCITY_FIELD)) - lo_m.append(lsec.getFieldOffset(qm, _VELOCITY_FIELD)) - tans.append((-nrm[1], nrm[0])) - nrms.append((nrm[0], nrm[1])) + lo_m.append(lo) + tans.append(_tangent_frame(nrm)) + nrms.append(nrm) return index_of[q] plus_name = f"{name}Plus" @@ -469,35 +508,66 @@ def node_index(q): .getStratumIS(value).getIndices()): if not (fS <= f < fE): continue - va, vb = (int(q) for q in dm.getCone(f)) - L = float(np.linalg.norm( - cvec[csec.getOffset(va) // dim] - - cvec[csec.getOffset(vb) // dim])) - facets.append((node_index(va), node_index(f), - node_index(vb), L, law_id)) + if dim == 2: + va, vb = (int(q) for q in dm.getCone(f)) + L = float(np.linalg.norm( + cvec[csec.getOffset(va) // dim] + - cvec[csec.getOffset(vb) // dim])) + facets.append(((node_index(va), node_index(f), + node_index(vb)), L, law_id)) + else: + # P2 triangle: vertex nodes carry barycentric shapes + # in list order, edge nodes pair them (v0v1, v1v2, + # v2v0) — the _NQ3 node convention. + edges = [int(q) for q in dm.getCone(f)] + epair = {e: tuple(int(q) for q in dm.getCone(e)) + for e in edges} + verts = sorted({v for pr in epair.values() for v in pr}) + Xv = [cvec[csec.getOffset(v) // dim] for v in verts] + area = 0.5 * float(np.linalg.norm( + np.cross(Xv[1] - Xv[0], Xv[2] - Xv[0]))) + edge_of_pair = {frozenset(pr): e + for e, pr in epair.items()} + idx = tuple(node_index(v) for v in verts) + tuple( + node_index(edge_of_pair[frozenset( + (verts[i], verts[j]))]) + for i, j in ((0, 1), (1, 2), (2, 0))) + facets.append((idx, area, law_id)) # petsc4py refuses to narrow index arrays — Vec/Mat setValues need # PETSc's own integer type. - self._rows = np.asarray(rows, dtype=PETSc.IntType) + self._ncomp = ncomp + self._rows = np.asarray(rows, dtype=PETSc.IntType).reshape(-1, ncomp) self._lo_p = np.asarray(lo_p, dtype=np.int64) self._lo_m = np.asarray(lo_m, dtype=np.int64) - self._tan = np.asarray(tans, dtype=float).reshape(-1, 2) - self._nrm = np.asarray(nrms, dtype=float).reshape(-1, 2) + self._tan = np.asarray(tans, dtype=float).reshape(-1, ncomp, dim) + self._nrm = np.asarray(nrms, dtype=float).reshape(-1, dim) + self._NQ = _NQ if dim == 2 else _NQ3 + self._WQ = _WQ if dim == 2 else _WQ3 self._laws = laws_of self._facets = facets self._dim = dim self._points = {q: k for q, k in index_of.items()} - # Lumped 1-D P2 trace mass per pair node, for de-smearing the - # constraint reaction into a pointwise normal traction (row sums - # L/6, 2L/3, L/6 — positive for a P2 LINE, unlike P2 triangles). - # At a seam crossing the two adjacent facets live on different + # Positive trace mass per pair node, for de-smearing the constraint + # reaction into a pointwise normal traction. On the P2 LINE the + # lumped (row-sum) mass is positive (L/6, 2L/3, L/6) and is used + # directly. On the P2 TRIANGLE the lumped VERTEX rows vanish (the + # known trap: row sums are 0, 0, 0, A/3, A/3, A/3), so the triangle + # uses the P1 SUB-LUMPING instead — each straight P2 triangle is + # four P1 sub-triangles of area A/4, whose lumped masses give every + # node a positive weight (A/12 per vertex, A/4 per midpoint). + # At a 2-D seam crossing the two adjacent facets live on different # ranks, so the mass is completed over the star-forest, keyed on # the PLUS point of each pair. mass = np.zeros(len(rows)) - for ia, im, ib, L, _law_id in facets: - for k, w in ((ia, L / 6.0), (im, 2.0 * L / 3.0), - (ib, L / 6.0)): + for idx, measure, _law_id in facets: + if dim == 2: + weights = (measure / 6.0, 2.0 * measure / 3.0, + measure / 6.0) + else: + weights = (measure / 12.0,) * 3 + (measure / 4.0,) * 3 + for k, w in zip(idx, weights): if k >= 0: mass[k] += w if mpi.size > 1: @@ -538,47 +608,63 @@ def node_index(q): st["theta0"]) def _nodal_slip(self, solver, uvec): - """V at every law-carrying pair node, from the CURRENT iterate — - read through the local vector so ghosted (cross-seam) values - resolve, and padded with the tips' identically-zero slip.""" + """The slip components at every law-carrying pair node, from the + CURRENT iterate — shape ``(n + 1, dim - 1)``, one column per + in-fault tangent — read through the local vector so ghosted + (cross-seam) values resolve, and padded with the tips'/rim's + identically-zero slip in the final row.""" dm = solver.dm + dim = self._nrm.shape[1] lvec = dm.getLocalVec() dm.globalToLocal(uvec, lvec) a = np.asarray(lvec.getArray()) - V = np.zeros(len(self._rows) + 1) + V = np.zeros((len(self._rows) + 1, self._ncomp)) for k in range(len(self._rows)): - du = (a[self._lo_p[k]:self._lo_p[k] + 2] - - a[self._lo_m[k]:self._lo_m[k] + 2]) - V[k] = float(self._tan[k] @ du) + du = (a[self._lo_p[k]:self._lo_p[k] + dim] + - a[self._lo_m[k]:self._lo_m[k] + dim]) + V[k] = self._tan[k] @ du dm.restoreLocalVec(lvec) - return V # V[-1] == 0: the tip pad + return V # V[-1] == 0: the tip/rim pad def residual_add(self, solver, uvec, Fh): """Add the interface force to the ROTATED residual, in place. - COLLECTIVE (the Vec assembly): every rank calls, fault or not.""" + COLLECTIVE (the Vec assembly): every rank calls, fault or not. + + The slip is a scalar in 2-D (the law reads it SIGNED — every law + is odd in V) and an in-plane vector in 3-D, where the traction is + collinear with the slip: tau_vec = tau(|V|) V-hat. + """ + NQ, WQ = self._NQ, self._WQ V = self._nodal_slip(solver, uvec) S = self._sigma - vals = np.zeros(len(self._rows)) + vals = np.zeros((len(self._rows), self._ncomp)) s2 = np.sqrt(2.0) - for ia, im, ib, L, law_id in self._facets: + for idx, measure, law_id in self._facets: if law_id < 0: continue # geometry-only (diagnostics) - idx = (ia, im, ib) - Vq = _NQ @ V[list(idx)] - Sq = _NQ @ S[list(idx)] + Vq = NQ @ V[list(idx)] + Sq = NQ @ S[list(idx)] # theta varies by orders of magnitude along a fault and only ever # enters a law through ln(theta): interpolate the LOG, which # is also what keeps a positive-only state positive under # quadratic shape functions (their undershoot sent theta # negative at a quadrature point the plain way). - Tq = np.exp(_NQ @ np.log(self._theta[list(idx)])) - tq = self._laws[law_id].tau(Vq, Sq, Tq) - contrib = s2 * L * (_NQ.T @ (_WQ * tq)) + Tq = np.exp(NQ @ np.log(self._theta[list(idx)])) + if self._ncomp == 1: + tvec = self._laws[law_id].tau(Vq[:, 0], Sq, Tq)[:, None] + else: + mag = np.linalg.norm(Vq, axis=1) + tq = self._laws[law_id].tau(mag, Sq, Tq) + # collinear traction; where |V| vanishes so does tau(|V|) + scale = np.where(mag > 1e-300, tq / np.maximum(mag, 1e-300), + 0.0) + tvec = scale[:, None] * Vq + contrib = s2 * measure * (NQ.T @ (WQ[:, None] * tvec)) for j, k in enumerate(idx): if k >= 0: vals[k] += contrib[j] if len(self._rows): - Fh.setValues(self._rows, vals, addv=True) + Fh.setValues(self._rows.ravel(), vals.ravel(), addv=True) Fh.assemblyBegin() Fh.assemblyEnd() @@ -589,13 +675,14 @@ def nodal_normal_traction(self, solver, reaction): mass. The reaction must be the PURE bulk residual — the loop stashes it before the interface force is added.""" dm = solver.dm + dim = self._nrm.shape[1] lvec = dm.getLocalVec() dm.globalToLocal(reaction, lvec) a = np.asarray(lvec.getArray()) sig = np.zeros(len(self._rows)) for k in range(len(self._rows)): - rp = a[self._lo_p[k]:self._lo_p[k] + 2] - rm = a[self._lo_m[k]:self._lo_m[k] + 2] + rp = a[self._lo_p[k]:self._lo_p[k] + dim] + rm = a[self._lo_m[k]:self._lo_m[k] + dim] load = 0.5 * float(self._nrm[k] @ (rp - rm)) sig[k] = load / max(self._mass[k], 1e-300) dm.restoreLocalVec(lvec) @@ -611,51 +698,90 @@ def update_normal_stress(self, solver, reaction): def tangent(self, solver, uvec): """The consistent interface tangent at the current iterate, as a - fresh Mat on the composite layout (caller destroys). COLLECTIVE.""" + fresh Mat on the composite layout (caller destroys). COLLECTIVE. + + In 3-D the per-quadrature block on the two slip components is the + collinear-traction tangent + + .. math:: (d\\tau/dV)\\,\\hat V\\hat V^T + + (\\tau/|V|)\\,(I - \\hat V\\hat V^T), + + regularised at :math:`|V| \\to 0` by the laws' own smoothness — + arctan/asinh forms give :math:`\\tau/|V| \\to d\\tau/dV(0)`, so the + zero-slip block is the isotropic :math:`d\\tau/dV(0)\\,I`. + """ dm = solver.dm + NQ, WQ = self._NQ, self._WQ A = solver.snes.getJacobian()[0] rstart, rend = A.getOwnershipRange() K = PETSc.Mat().create(comm=dm.comm) K.setSizes(((rend - rstart, A.getSize()[0]), (rend - rstart, A.getSize()[0]))) K.setType("aij") - K.setPreallocationNNZ((3, 0)) + K.setPreallocationNNZ((3 if self._ncomp == 1 else 40, 0)) K.setOption(PETSc.Mat.Option.NEW_NONZERO_ALLOCATION_ERR, False) V = self._nodal_slip(solver, uvec) S = self._sigma - for ia, im, ib, L, law_id in self._facets: + for idx, measure, law_id in self._facets: if law_id < 0: continue # geometry-only (diagnostics) - idx = (ia, im, ib) - Vq = _NQ @ V[list(idx)] - Sq = _NQ @ S[list(idx)] + Vq = NQ @ V[list(idx)] + Sq = NQ @ S[list(idx)] # theta varies by orders of magnitude along a fault and only ever # enters a law through ln(theta): interpolate the LOG, which # is also what keeps a positive-only state positive under # quadratic shape functions (their undershoot sent theta # negative at a quadrature point the plain way). - Tq = np.exp(_NQ @ np.log(self._theta[list(idx)])) - dq = self._laws[law_id].dtau_dV(Vq, Sq, Tq) - Ke = 2.0 * L * (_NQ.T @ (_NQ * (_WQ * dq)[:, None])) - for i, ki in enumerate(idx): - if ki < 0: - continue - for j, kj in enumerate(idx): - if kj >= 0: - K.setValue(int(self._rows[ki]), - int(self._rows[kj]), - float(Ke[i, j]), addv=True) + Tq = np.exp(NQ @ np.log(self._theta[list(idx)])) + if self._ncomp == 1: + dq = self._laws[law_id].dtau_dV(Vq[:, 0], Sq, Tq) + Ke = 2.0 * measure * (NQ.T @ (NQ * (WQ * dq)[:, None])) + for i, ki in enumerate(idx): + if ki < 0: + continue + for j, kj in enumerate(idx): + if kj >= 0: + K.setValue(int(self._rows[ki, 0]), + int(self._rows[kj, 0]), + float(Ke[i, j]), addv=True) + continue + mag = np.linalg.norm(Vq, axis=1) + tq = self._laws[law_id].tau(mag, Sq, Tq) + dq = self._laws[law_id].dtau_dV(mag, Sq, Tq) + for q in range(len(WQ)): + if mag[q] > 1e-12: + vhat = Vq[q] / mag[q] + P = np.outer(vhat, vhat) + B = dq[q] * P + (tq[q] / mag[q]) * (np.eye(2) - P) + else: + B = dq[q] * np.eye(2) + w = 2.0 * measure * WQ[q] + for i, ki in enumerate(idx): + if ki < 0: + continue + for j, kj in enumerate(idx): + if kj < 0: + continue + NiNj = w * NQ[q, i] * NQ[q, j] + for aa in range(2): + for bb in range(2): + K.setValue(int(self._rows[ki, aa]), + int(self._rows[kj, bb]), + float(NiNj * B[aa, bb]), + addv=True) K.assemble() return K def fault_normal_traction(solver, boundary, solve_result): """Signed normal traction sigma_nn along the split fault ``boundary`` - (negative in compression), per coincident pair on this rank, with the - along-fault coordinate — recovered from the solve's stashed reaction, - exactly as the interface laws read their effective normal stress. - Returns ``(s, sigma_nn)`` ordered along the fault. + (negative in compression), per coincident pair on this rank — + recovered from the solve's stashed reaction, exactly as the interface + laws read their effective normal stress. In 2-D returns + ``(s, sigma_nn)`` ordered by the along-fault coordinate; a 3-D patch + has no such ordering, so there the first element is the pair + COORDINATES instead: ``(coords, sigma_nn)``. """ from underworld3.utilities.rotated_bc import _point_coord @@ -672,7 +798,9 @@ def fault_normal_traction(solver, boundary, solve_result): for q in pts]) if pts else np.zeros((0, dim)) if not len(coords): return np.zeros(0), np.zeros(0) - tbar = assembler._tan.mean(axis=0) + if dim == 3: + return coords, sig + tbar = assembler._tan[:, 0, :].mean(axis=0) tbar /= np.linalg.norm(tbar) + 1e-30 s_coord = coords @ tbar s_coord -= s_coord.min() @@ -680,17 +808,17 @@ def fault_normal_traction(solver, boundary, solve_result): return s_coord[order], sig[order] -def fault_slip(solver, boundary, solve_result): - """Slip and leak across the fault, per coincident pair, from the solve. +def fault_pair_jumps(solver, boundary, solve_result): + """The velocity jump at every coincident pair, from the solve. - Returns ``(s, V, leak)`` on this rank: the along-fault coordinate of each - pair (arc-length-like, measured along the fault's mean tangent from the - first tip), the tangential velocity jump :math:`V = \\hat t\\cdot(v^+ - - v^-)`, and the normal jump :math:`\\hat n\\cdot(v^+ - v^-)` — the leak, - which the strong constraint holds at machine zero. Reads the composite - solution ``solve_result["U"]`` through the pairing, which is the only - correct route: the pair coordinates are identical, so field queries by - position see one side only. + Returns ``(coords, jumps, normals)`` on this rank — the pair position, + the full jump vector :math:`v^+ - v^-`, and the fault unit normal — + in any dimension. Reads the composite solution ``solve_result["U"]`` + through the pairing, which is the only correct route: the pair + coordinates are identical, so field queries by position see one side + only. The tangential part of the jump is the slip (a scalar against + the in-fault tangent in 2-D, an in-plane vector in 3-D); the normal + part is the leak, held at machine zero by the strong constraint. """ dm = solver.dm dim = solver.mesh.dim @@ -722,10 +850,28 @@ def fault_slip(solver, boundary, solve_result): jumps.append(vals["plus"] - vals["minus"]) normals.append(nrm) if not coords: + return (np.zeros((0, dim)),) * 3 + return np.array(coords), np.array(jumps), np.array(normals) + + +def fault_slip(solver, boundary, solve_result): + """Slip and leak along a 2-D fault, per coincident pair, from the solve. + + Returns ``(s, V, leak)`` on this rank: the along-fault coordinate of each + pair (arc-length-like, measured along the fault's mean tangent from the + first tip), the tangential velocity jump :math:`V = \\hat t\\cdot(v^+ - + v^-)`, and the normal jump :math:`\\hat n\\cdot(v^+ - v^-)` — the leak, + which the strong constraint holds at machine zero. The 2-D profile view + of :func:`fault_pair_jumps`; a 3-D patch has no along-fault ordering, so + read the jumps directly there. + """ + coords, jumps, normals = fault_pair_jumps(solver, boundary, solve_result) + if not len(coords): return (np.zeros(0),) * 3 - coords = np.array(coords) - jumps = np.array(jumps) - normals = np.array(normals) + if solver.mesh.dim != 2: + raise NotImplementedError( + "fault_slip's arc-length profile is 2-D; use fault_pair_jumps " + "for a 3-D patch.") tangents = np.column_stack([-normals[:, 1], normals[:, 0]]) # Along-fault coordinate from the mean tangent, origin at the trailing end. tbar = tangents.mean(axis=0) diff --git a/src/underworld3/utilities/rotated_bc.py b/src/underworld3/utilities/rotated_bc.py index 82f68099..ef8afaa2 100644 --- a/src/underworld3/utilities/rotated_bc.py +++ b/src/underworld3/utilities/rotated_bc.py @@ -289,8 +289,6 @@ def build_rotation(solver, boundaries, datum_specs=None): # on it is friction.) if fault_names: from underworld3.utilities import fault_contact - if dim != 2: - raise NotImplementedError("fault contact pair blocks are 2-D.") s2 = 1.0 / np.sqrt(2.0) for fname in fault_names: for q_plus, q_minus, nrm in fault_contact._fault_pair_nodes( @@ -300,7 +298,12 @@ def build_rotation(solver, boundaries, datum_specs=None): f"fault {fname!r} shares a node with a rotated " "free-slip boundary; a point cannot carry both a " "wall block and a pair block.") - tan = np.array([-nrm[1], nrm[0]]) + # The tangent frame: one in-fault direction in 2-D, two in + # 3-D. Shared with the interface assembler's slip rows — + # _tangent_frame is the single authority. The specific + # in-plane directions carry no physics: both slip rows are + # free (frictionless) or enter through |V| (laws). + frame = [nrm] + fault_contact._tangent_frame(nrm) gp, gm = [], [] for q, rows in ((q_plus, gp), (q_minus, gm)): lo = lsec.getFieldOffset(q, _VELOCITY_FIELD) @@ -317,11 +320,11 @@ def build_rotation(solver, boundaries, datum_specs=None): "impossible.") if not owned_p: continue - for row, e, sgn in ((gp[0], nrm, +1.0), (gp[1], tan, +1.0), - (gm[0], nrm, -1.0), (gm[1], tan, -1.0)): - for j in range(dim): - Q.setValue(row, gp[j], s2 * float(e[j])) - Q.setValue(row, gm[j], sgn * s2 * float(e[j])) + for i, e in enumerate(frame): + for row, sgn in ((gp[i], +1.0), (gm[i], -1.0)): + for j in range(dim): + Q.setValue(row, gp[j], s2 * float(e[j])) + Q.setValue(row, gm[j], sgn * s2 * float(e[j])) normal_rows.append(gm[0]) # [v]·n̂ = 0, datum 0 Q.assemble() diff --git a/tests/test_0848_fault_split_3d.py b/tests/test_0848_fault_split_3d.py index f9ca2d9d..1352f67b 100644 --- a/tests/test_0848_fault_split_3d.py +++ b/tests/test_0848_fault_split_3d.py @@ -197,6 +197,77 @@ def test_refusals(box_with_patch): split_fault(child, "FltA") +def _stokes_on(split_box, drive, tag): + v = uw.discretisation.MeshVariable(f"v_{tag}", split_box, 3, degree=2) + p = uw.discretisation.MeshVariable(f"p_{tag}", split_box, 1, degree=0, + continuous=False) + stokes = uw.systems.Stokes(split_box, velocityField=v, pressureField=p) + stokes.constitutive_model = uw.constitutive_models.ViscousFlowModel + stokes.constitutive_model.Parameters.shear_viscosity_0 = 1.0 + stokes.bodyforce = [0.0, 0.0, 0.0] + for wall in ("Bottom", "Top", "Right", "Left", "Front", "Back"): + stokes.add_dirichlet_bc(drive, wall) + stokes.tolerance = 1e-6 + return stokes + + +def _slip_and_leak(stokes): + from underworld3.utilities import fault_contact + + coords, jumps, normals = fault_contact.fault_pair_jumps( + stokes, "FltA", stokes._rotated_freeslip_info) + leak = np.einsum("ij,ij->i", jumps, normals) + slip = np.linalg.norm(jumps - leak[:, None] * normals, axis=1) + return coords, slip, leak + + +@pytest.mark.level_2 +@pytest.mark.tier_b +def test_viscous_family_3d(split_box): + """The interface dashpot in 3-D: slip monotone in eta_f, weld limit.""" + x, y, z = split_box.X + shear = (0.0, x - 0.5, 0.0) + peaks = [] + for tag, eta_f in (("vf0", 0.0), ("vf1", 5.0), ("vf2", 500.0)): + stokes = _stokes_on(split_box, shear, tag) + stokes.add_fault_bc(eta_f, boundary="FltA") + stokes.solve(verbose=False) + _coords, slip, leak = _slip_and_leak(stokes) + assert np.abs(leak).max() < 1e-10 + peaks.append(slip.max()) + assert peaks[0] > peaks[1] > peaks[2] + assert peaks[2] < 0.05 * peaks[0] # the weld removes the fault + + +@pytest.mark.level_2 +@pytest.mark.tier_b +def test_coulomb_slide_stick_3d(split_box): + """Coulomb with reaction-fed sigma_n in 3-D: the drive + v = (-(x-c), (y-c) + gamma (x-c), 0) carries compression 2 eta onto + the patch and resolved shear gamma eta; against strength mu sigma_n + the fault slides at gamma = 2 and sticks (creep ~ V0) at 0.4.""" + from underworld3.utilities import fault_contact + + x, y, z = split_box.X + results = {} + for tag, gamma in (("cs2", 2.0), ("cs04", 0.4)): + drive = (-(x - 0.5), (y - 0.5) + gamma * (x - 0.5), 0.0) + stokes = _stokes_on(split_box, drive, tag) + fault_contact.add_coulomb_fault_bc(stokes, 0.6, "FltA", + sigma_n="reaction", V0=1e-3) + fault_contact.solve_with_fault(stokes, picard=2) + coords, slip, leak = _slip_and_leak(stokes) + assert np.abs(leak).max() < 1e-10 + crds, sig = fault_contact.fault_normal_traction( + stokes, "FltA", stokes._rotated_freeslip_info) + inner = np.linalg.norm(crds[:, 1:] - 0.5, axis=1) < 0.12 + # the de-smeared reaction recovers the driven compression + assert -3.5 < np.median(sig[inner]) < -1.2 + results[gamma] = slip.max() + assert results[2.0] > 0.05 # sliding + assert results[0.4] < 5e-3 # stuck at ~V0 creep + + @pytest.mark.level_1 @pytest.mark.tier_b def test_daylighting_patch_refused(): From 5cc887feddc65e9fa35491775897671eecda84c2 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 08:05:36 +1000 Subject: [PATCH 15/60] Method write-up for the split-node fault work, with benchmark tables A bare technical outline for publication drafting: formulation (split space, pair transform, symbolic interface laws, consistent tangent, reaction-fed normal stress, exact ageing), the mesh operation in 2-D and 3-D with the chart arithmetic and refusal table, the trace assembly (including the vanishing lumped P2-triangle mass and its P1 sub-lumping), and the validation numbers: the 10-vs-147 conditioning gate, the 2-D crack/compliance/friction/rate-state results, and the 3-D penny-crack convergence table. Figures follow the cetz-figures pattern (generator + JSON + typ + committed PNG) in docs/developer/design/figures/split-node-faults/: the 2-D split anatomy, the pair-transform row diagram, and a pyvista render of the doubled patch and shared rim from an actual split mesh. Underworld development team with AI support from Claude Code --- .../design/SPLIT_NODE_FAULT_METHOD_2026-08.md | 338 ++++++++++++++++++ .../generate-split-anatomy-data.py | 75 ++++ .../split-node-faults/pair-transform.png | Bin 0 -> 212762 bytes .../split-node-faults/pair-transform.typ | 71 ++++ .../split-node-faults/render-components-3d.py | 95 +++++ .../split-node-faults/split-anatomy-data.json | 1 + .../split-node-faults/split-anatomy.png | Bin 0 -> 173009 bytes .../split-node-faults/split-anatomy.typ | 90 +++++ .../split-node-faults/split-components-3d.png | Bin 0 -> 80318 bytes 9 files changed, 670 insertions(+) create mode 100644 docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md create mode 100644 docs/developer/design/figures/split-node-faults/generate-split-anatomy-data.py create mode 100644 docs/developer/design/figures/split-node-faults/pair-transform.png create mode 100644 docs/developer/design/figures/split-node-faults/pair-transform.typ create mode 100644 docs/developer/design/figures/split-node-faults/render-components-3d.py create mode 100644 docs/developer/design/figures/split-node-faults/split-anatomy-data.json create mode 100644 docs/developer/design/figures/split-node-faults/split-anatomy.png create mode 100644 docs/developer/design/figures/split-node-faults/split-anatomy.typ create mode 100644 docs/developer/design/figures/split-node-faults/split-components-3d.png diff --git a/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md b/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md new file mode 100644 index 00000000..a386dd2e --- /dev/null +++ b/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md @@ -0,0 +1,338 @@ +# Split-node faults: method and benchmarks + +Technical outline for publication drafting (2026-08). Companion to the +architecture/deployment record in `FAULT_CONTACT_DEPLOYMENT_2026-08.md`; +this document is the *method itself* — formulation, mesh operation, trace +assembly, and the validation numbers — with the history and design +rationale deliberately omitted. Figures in `figures/split-node-faults/` +(cetz sources + generators alongside the committed PNGs). + +## 1. Method in one paragraph + +A fault is represented as a genuine velocity discontinuity: the mesh +points interior to a conforming fault surface are duplicated so that the +two sides share no degrees of freedom, and the coincident degree-of-freedom +pairs are transformed, inside the existing rotated-constraint solver path, +to mean and jump components in the local fault frame. The jump-normal +component is constrained to zero (no opening, enforced to machine +precision); the jump-tangential component — the slip rate $V$ — either +stays free (a perfectly slippery fault, zero shear traction) or carries an +interface constitutive law $\tau(V, \sigma_n, \theta)$ assembled on the +fault trace with a consistent Newton tangent derived symbolically. The +effective normal stress $\sigma_n$ is recovered from the constraint +reaction, and rate-and-state state $\theta$ evolves between solves by an +exactly integrated ageing law. No viscosity contrast, no thin layer, and +no Lagrange multiplier field is introduced anywhere. + +## 2. Formulation + +### 2.1 The split function space + +Let $\Gamma$ be a chain of interior mesh facets (2-D) or a triangulated +patch of interior faces (3-D). Duplicating every mesh point strictly +interior to $\Gamma$ — vertices in 2-D; vertices, edges and the faces +themselves in 3-D — and rewiring the cells on one side to the replicas +makes every $C^0$ finite-element space discontinuous exactly across +$\Gamma$ and continuous everywhere else. The chain endpoints (2-D) and the +patch rim (3-D) are *not* duplicated: the field remains single-valued +there, so any slip must taper to zero at the tips/rim, which is the +physically correct crack condition and removes all special-casing at the +front. + +![The split in 2-D](figures/split-node-faults/split-anatomy.png) + +*Fig. 1 — (a) the conforming labelled chain; (b) after the split +(exploded for display — the copies are geometrically coincident). Filled +red: original interior vertices (Plus side keeps them); open red: their +replicas (Minus side rewired); black rings: the shared, unsplit tips.* + +![3-D components](figures/split-node-faults/split-components-3d.png) + +*Fig. 2 — the same operation one dimension up, rendered from an actual +split mesh: the fault patch is doubled into two coincident triangulated +copies (pulled apart along the normal for display), joined at the single +shared rim.* + +### 2.2 The pair transform + +Each coincident pair $(v^+, v^-)$ carries $2\,d$ velocity unknowns +($d$ the dimension). One orthogonal $2d \times 2d$ block per pair rotates +them to mean and jump components in the fault frame +$(\hat n, \hat t_1[, \hat t_2])$, with the frame built per node from the +one-sided fault facet normals (so curved and kinked faults are handled by +construction). The rotation rides the same machinery as rotated free-slip +walls; the mean rows and the slip rows remain ordinary unknowns of the +bulk momentum balance, and only the jump-normal row enters the constrained +set. + +![Pair transform](figures/split-node-faults/pair-transform.png) + +*Fig. 3 — the rotated rows of one pair and their roles.* + +Key properties, all consequences of the transform being orthogonal and +the constraint being strong: + +- **No opening to machine precision.** The jump-normal row is an + essential constraint with datum zero (a nonzero datum would be a + prescribed dilation). Measured leak: $10^{-18}$ or exactly zero in every + benchmark below. +- **The reaction of the jump-normal row is the normal traction.** The + stashed bulk residual on the constrained rows, de-smeared by a positive + trace mass, gives $\sigma_{nn}$ per node with no auxiliary flux solve — + the same recovery as dynamic topography from rotated free-slip walls. +- **The welded limit removes the fault.** Any law on the slip rows + penalises only the jump; the mean rows are never touched, so + $\tau/V \to \infty$ recovers the uncut continuum on the same mesh, not a + rigid inclusion. + +### 2.3 Interface constitutive laws + +A law is a sympy expression $\tau(V, \sigma_n, \theta)$ in three canonical +symbols (slip rate, effective normal stress, state). The consistent +tangent $\partial\tau/\partial V$ is produced by `sympy.diff` and both are +lambdified once at registration — the same division of labour as the bulk +constitutive models: the physics is symbolic, only the innermost +quadrature evaluates compiled callables. Implemented members: + +| law | $\tau(V)$ | notes | +|-----|-----------|-------| +| frictionless | $0$ | slip row free; the stress-driven crack | +| viscous | $\eta_f V$ | $\eta_f = \eta_{\rm layer}/w$: the equivalent weak *layer's own* viscosity over its width (not the background's) | +| Coulomb | $\mu\,\sigma_n\,\tfrac{2}{\pi}\arctan(V/V_0)$ | regularised; $V_0$ well below flow rates ⇒ stick as creep $\sim V_0$ | +| rate-and-state | $a\,\sigma_n \sinh^{-1}\!\big[\tfrac{V}{2V_0} e^{(f_0 + b\ln(V_0\theta/D_c))/a}\big]$ | arcsinh regularisation, smooth and odd in $V$ | + +The interface term $\int_\Gamma \tau(V)\,\delta V\,d\Gamma$ enters the +rotated residual on the slip rows and its tangent +$2\,(\partial\tau/\partial V)\,M$ ($M$ the trace mass) is rebuilt at every +Newton iterate — full Newton in $V$. Two quantities are deliberately +Picard-lagged, once per iterate: $\sigma_n$ (fed from the reaction; its +derivative is nonlocal and non-stiff) and $\theta$ (state evolves between +solves, not within one). In 3-D the traction is collinear with the slip, +$\boldsymbol\tau = \tau(|V|)\,\hat V$, and the per-node $2\times 2$ +tangent block is + +$$\frac{\partial\tau}{\partial V}\,\hat V\hat V^{\mathsf T} + + \frac{\tau}{|V|}\left(I - \hat V\hat V^{\mathsf T}\right),$$ + +regularised at $|V| \to 0$ by the laws' own smoothness (the arctan/asinh +forms give $\tau/|V| \to \partial\tau/\partial V(0)$, so the zero-slip +block is isotropic). + +### 2.4 State evolution and normal stress + +The ageing law $\dot\theta = 1 - V\theta/D_c$ is integrated exactly over +each solve interval for piecewise-constant $V$: +$\theta' = \theta e^{-x} + (D_c/V)(1 - e^{-x})$, $x = V\,\Delta t/D_c$, +written with `expm1` so $V \to 0$ degrades smoothly to pure ageing. +$\theta$ varies by orders of magnitude along a fault and enters laws only +through $\ln\theta$, so the trace quadrature interpolates the *logarithm* +— which is also what keeps a positive-only quantity positive under the +quadratic shape functions (their undershoot sends a plainly interpolated +$\theta$ negative). $\sigma_n$ is clamped at zero in tension: an +opening-tending fault has no frictional strength, and the no-opening +constraint holds it shut regardless. + +## 3. The mesh operation + +### 3.1 Input contract and provenance + +Input: a *conforming labelled facet set* — the fault's name labels +interior facets whose two support cells flank it. Any generator that +produces this contract feeds the split: `cut_along_lines` / +`place_along_lines` in 2-D, a gmsh-embedded surface +(`uw.meshing.BoxInternalPatch`) in 3-D, and the internal-boundary meshes +(`BoxInternalBoundary`, `AnnulusInternalBoundary`, …) carry it natively. + +The split is a pure function of the source mesh (nothing cached, source +untouched): a moving fault is re-cut and re-split from the static base, +the same non-cumulative pattern as mesh adaptation. It returns two +provenance maps — `point_map` (old point → new point) and `clone_map` +(replica → original) — and the coincident pairing +`mesh._fault_point_pairs[name]` built from `clone_map`. The pairing is +the *only* source of the pair association: the two sides are +geometrically coincident, so no coordinate query can ever recover it. + +### 3.2 2-D: the chain split + +A fresh plex is built with the chart grown: cells keep their source order +(per-cell data stays aligned), replicas are appended to the vertex +stratum, and the edge stratum is re-derived from the substituted cell +list — an old facet is reused (labels intact) exactly where its vertex +pair survived, and re-homed onto replicas where it did not. Side +assignment walks the cut cell fan around each interior chain vertex; +every fault facet's two supports must land on opposite sides +(asserted, not assumed). + +### 3.3 3-D: the patch split + +The same operation one stratum deeper, with one structural change: rather +than hand-wiring tetrahedral cone orientations, the substituted cells are +built *uninterpolated* (vertex 4-tuples carry no orientation data) and +`DMPlexInterpolate` derives faces and edges. Cell and vertex numbering +are preserved (asserted), and every old face or edge is recovered in the +new chart by joining (`DMPlexGetFullJoin`) its mapped vertex tuple; a +tuple that no longer joins was re-homed, and its replacement is found by +collapsing replicas back to originals — the 2-D re-derivation rule +expressed through joins. + +Side assignment: an orientability propagation gives every patch face a +consistent oriented triple (also proving the patch is one connected +orientable sheet); the sign of +$\det[\,b-a,\ c-a,\ d-a\,]$ classifies each fault face's two support +cells ($d$ the cell's off-face vertex); and around each interior patch +vertex the remaining star cells are flooded through shared non-fault +faces — the patch must cut every such star into exactly two half-balls. + +Chart arithmetic (the structural test): with $F$ fault faces, $E_i$ +interior patch edges and $V_i$ interior patch vertices, the split adds +exactly $(\Delta V, \Delta E, \Delta F) = (V_i, E_i, F)$ and the Euler +characteristic changes by $V_i - E_i + F$ = the patch interior's own +characteristic — $+1$ for any disc-like patch (2-D analogue: the slit +disc, $\chi: 1 \to 0$; 3-D: $\chi: 1 \to 2$, a ball acquiring a lens +cavity), independent of resolution. + +### 3.4 Refusals (all loud, all collective) + +| refused | reason | +|---------|--------| +| junction / non-manifold (three facets at an edge) | represent branches as offset segments (ligament of ~1–2 h) | +| closed loop (2-D), pinched or non-orientable patch (3-D) | no tips / star not two half-balls | +| single-facet chain; 3-D face with no interior vertex | the two copies would carry the same point tuple | +| fault touching the domain boundary | daylighting needs a wall/fault constraint composition (see open questions) | +| seam contact in 3-D; non-vertex seam crossings in 2-D | parallel rules below | + +### 3.5 Parallel + +2-D: a fault may cross a partition seam only *through a shared vertex +pinned exactly at the crossing* (the cut machinery manufactures these); +the crossing vertex's replica pair rides one extra star-forest entry, +keyed on (original root, side), and both flanking facet fans stay +rank-local. Everything else near a seam is refused, collectively (an +`allgather` synchronises the verdict so every rank raises together; a +seam verdict outranks the chain-fragment symptoms other ranks see). +Swept at np = 3, 4, 5: 17/27 crossing configurations split cleanly; every +refusal is collective and categorised (three-rank corners; fault running +along a seam). 3-D v1 requires the patch's whole cell star rank-interior +(a 3-D seam crossing is a *curve* — a design of its own, deferred). + +## 4. Trace assembly + +The interface residual and tangent are assembled on trace elements built +from the doubled facets, with nodes = the coincident pairs (tips/rim +enter with $V \equiv 0$ and receive no rows): + +| | 2-D | 3-D | +|---|---|---| +| element | P2 line (3 nodes) | P2 triangle (6 nodes) | +| quadrature | 3-pt Gauss (degree 4) | 6-pt Dunavant (degree 4) | +| slip rows/node | 1 | 2 (matching the pair block's $\hat t_1, \hat t_2$ — one shared frame authority) | +| de-smear mass | lumped row-sum ($L/6, 2L/3, L/6$ — positive) | P1 sub-lumping ($A/12$ vertex, $A/4$ midpoint) | + +The 3-D mass choice is forced: the lumped (row-sum) P2 *triangle* mass +has identically zero vertex rows, so the reaction de-smear divides by +zero there; subdividing each straight P2 triangle into its four P1 +sub-triangles and lumping those gives every node a positive weight. + +## 5. Benchmarks + +All Stokes runs: P2 velocity / P0 discontinuous pressure (continuous +pressure smears the cross-fault pressure jump), `stokes.tolerance` +(never raw `ksp_rtol`), pressure nullspace attached, GAMG velocity +block on split meshes. + +### 5.1 Conditioning: contact vs thin weak inclusion (2-D) + +Identical adapted mesh, identical solver configuration, the fault +represented two ways: + +| arm | representation | outer Schur its | wall time | +|-----|----------------|------------------|-----------| +| A | one-element band, viscosity contrast $10^{-4}$ | 147 | ~100 s | +| B | split-node, prescribed slip, **uniform viscosity** | 10 | ~6 s | + +Both arms: every sub-KSP genuinely converged (checked via +`getConvergedReason`, not SNES status). The split's iteration count is +resolution-independent (10 at both refinement levels). Well-posedness: +$\int \nabla\!\cdot v \sim 2\times10^{-16}$; refinement moves stress +stations < 1.1 %; tolerance $10^{-5} \to 10^{-7}$ moves them 0.01 %; P0 +pressure at the slit is a clean antisymmetric crack-tip dipole, no +checkerboarding. The two representations are different boundary-value +problems; their $\Delta$CFF *decay* families agree +(1/.392/.164/.055 vs 1/.406/.171/.057 at 0.1/0.25/0.5/1 fault lengths) +with amplitudes offset 6–9 %. + +### 5.2 The frictionless crack (2-D) + +Emergent slip under far-field shear: leak $5\times10^{-18}$; slip profile +elliptical to 1.45 % RMS; peak slip 91 % of the infinite-medium value +$\Delta\tau\,a/\eta$ (finite box, Dirichlet walls — below, as it must +be); converged in one Newton increment. + +### 5.3 The viscous interface family (2-D) + +$\tau = \eta_f V$ swept over three decades: monotone from the +frictionless crack to welded (peak slip 1 % of free at +$\eta_f = 100\,\eta/a$), machine-zero opening throughout, following the +crack compliance + +$$V/V_{\rm free} = \frac{1}{1 + 0.91\,\eta_f\,a/\eta},$$ + +with the half-slip point at $\eta_f = \eta/a$ as dimensional analysis +requires. The welded endmember's stress field is indistinguishable from +the *uncut* continuum on the same mesh — the law penalises the jump only. + +### 5.4 Friction and state (2-D and 3-D) + +- Coulomb, sliding branch: constant-stress-drop behaviour (slip scales + with the excess of driving stress over strength); stick branch: creep + at the regularisation scale $V_0$. With $\sigma_n$ reaction-fed, the + recovered normal stress matches the driven compression. +- Rate-and-state: from off-steady initial state, repeated solve/age + cycles drive the monitor $\theta V/D_c$ monotonically to 1. +- Both re-verified in 3-D (regression-tested); the law layer itself is + dimension-blind. + +### 5.5 The penny-shaped crack (3-D) + +Circular frictionless crack, radius $a = 0.15$, in an $L^3$ box of +uniform viscosity under uniform resolved shear $\tau$; oracle: the +incompressible ($\nu = 1/2$) infinite-medium profile + +$$\Delta v(r) = \frac{8}{3\pi}\,\frac{\tau}{\eta}\sqrt{a^2 - r^2}.$$ + +| box $L$ | $h$ | pairs | leak | peak/oracle | fitted amplitude | shape RMS | +|--------|-----|-------|------|-------------|------------------|-----------| +| 1.0 | 0.05 | 144 | 0 | 0.930 | 0.866 | 6.9 % | +| 1.0 | 0.035 | 272 | 0 | 0.947 | 0.907 | 5.1 % | +| 1.5 | 0.05 | 144 | $6\times10^{-19}$ | 0.941 | 0.879 | 6.6 % | + +Slip is parallel to the resolved shear everywhere (off-shear component +$< 10^{-2}$ of peak), and the amplitude sits *below* the oracle and +converges toward it from below under both mesh refinement and box +growth — the correct sign for a finite Dirichlet box, which is stiffer +than the infinite medium. + +## 6. Current limitations + +- One open chain (2-D) / one orientable disc-like patch (3-D) per label; + branches via offset segments. +- No daylighting: the fault cannot reach the domain boundary. +- No closed loops (ring/spherical slippery surfaces). +- 3-D parallel: fault must be rank-interior. +- Split meshes carry no geometric-multigrid tail (coarse levels do not + carry the fault); GAMG is the velocity default. +- Fault motion = re-cut + re-split from the base (fields transfer via + the re-adaptation machinery); no incremental update. + +## 7. Open design questions (under discussion) + +1. **API unification with bulk rheology** — fault laws as + constitutive-model-like objects with `Parameters`, assigned per fault, + rather than per-law `add_*_fault_bc` functions. +2. **Closed-loop and daylighting interfaces** — the internal-boundary + meshes already carry the split's input contract (verified: + `AnnulusInternalBoundary`'s ring and `BoxInternalBoundary`'s spanning + surface are conforming labelled facet sets; each is refused only by a + topology rule, not by any plumbing gap). Loops need no-tip topology + plus the new nullspaces of a disconnected interior body; daylighting + needs the wall/fault constraint composition at the intersection. diff --git a/docs/developer/design/figures/split-node-faults/generate-split-anatomy-data.py b/docs/developer/design/figures/split-node-faults/generate-split-anatomy-data.py new file mode 100644 index 00000000..7e8d18ca --- /dev/null +++ b/docs/developer/design/figures/split-node-faults/generate-split-anatomy-data.py @@ -0,0 +1,75 @@ +"""Geometry for the split-anatomy figure (cetz draws, Python computes). + +A small structured triangulation of [0,3] x [0,1] with a fault chain along +y = 0.5 from (0.5, 0.5) to (2.5, 0.5): 4 fault edges, 3 interior vertices +(duplicated by the split), 2 tips (shared). The "after" panel is EXPLODED +for display — the Minus side translated down — because the real copies are +geometrically coincident. +""" +import json +import os + +H = 0.5 +NX, NY = 6, 2 +DELTA = 0.22 # display-only explosion offset + +verts = {} +coords = [] + + +def vid(i, j): + if (i, j) not in verts: + verts[(i, j)] = len(coords) + coords.append([i * H, j * H]) + return verts[(i, j)] + + +tris = [] +for i in range(NX): + for j in range(NY): + a, b = vid(i, j), vid(i + 1, j) + c, d = vid(i + 1, j + 1), vid(i, j + 1) + tris.append([a, b, c]) + tris.append([a, c, d]) + +chain = [vid(i, 1) for i in range(1, 6)] # (0.5,0.5) .. (2.5,0.5) +tips = [chain[0], chain[-1]] +interior = chain[1:-1] + +# Minus side = triangles whose centroid lies below the chain SEGMENT span; +# triangles below y=0.5 but outside the span stay welded (no fault there). +side = [] +for t in tris: + cx = sum(coords[v][0] for v in t) / 3.0 + cy = sum(coords[v][1] for v in t) / 3.0 + touches = any(v in chain for v in t) + side.append(-1 if (cy < 0.5 and touches and 0.5 < cx < 2.5) else +1) + +# Exploded positions: replicas of the interior chain vertices move down; +# to keep the Minus flank rigid, the row below them (y = 0) within the span +# moves too. Tips stay put — the lens pins there. +exploded = [list(c) for c in coords] +replicas = {} +for v in interior: + replicas[v] = len(exploded) + exploded.append([coords[v][0], coords[v][1] - DELTA]) +moved_tris = [] +flank = set() +for t, s in zip(tris, side): + if s < 0: + moved_tris.append([replicas.get(v, v) for v in t]) + flank.update(v for v in t if v not in chain) + else: + moved_tris.append(list(t)) +for v in flank: + exploded[v][1] -= DELTA + +out = dict(coords=coords, exploded=exploded, tris=tris, + moved_tris=moved_tris, side=side, chain=chain, tips=tips, + interior=interior, replicas=replicas, delta=DELTA) +here = os.path.dirname(os.path.abspath(__file__)) +with open(os.path.join(here, "split-anatomy-data.json"), "w") as f: + json.dump(out, f) +print("wrote split-anatomy-data.json:", + f"{len(coords)} verts, {len(tris)} tris, chain {len(chain)},", + f"replicas {len(replicas)}") diff --git a/docs/developer/design/figures/split-node-faults/pair-transform.png 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text(size: 9pt)[$Q$]) + + // ---- right: the rotated rows ------------------------------------------- + content((4.75, 2.6), align(center)[rotated unknowns (per pair)]) + content((8.55, 2.6), align(center)[role]) + + row(1.9, mean-bg, [$(v^+ + v^-) dot hat(n) slash sqrt(2)$], + text(size: 9pt)[free — bulk momentum]) + row(1.1, mean-bg, [$(v^+ + v^-) dot hat(t) slash sqrt(2)$], + text(size: 9pt)[free — bulk momentum]) + row(0.3, jump-n-bg, [$[v] dot hat(n) slash sqrt(2)$], + text(size: 9pt)[constrained $= 0$ — no opening; \ reaction $arrow.r sigma_n$]) + row(-0.7, jump-t-bg, [$[v] dot hat(t) slash sqrt(2) = V slash sqrt(2)$], + text(size: 9pt)[the law: $integral_Gamma tau(V, sigma_n, theta) + thin delta V$; \ tangent $2 (diff tau slash diff V) M$ per iterate]) + + content((4.75, -1.65), align(center, text(size: 9pt)[ + frictionless: slip row simply FREE (zero shear traction) \ + 3-D: two slip rows, collinear traction + $bold(tau) = tau(|V|) hat(V)$])) +}) diff --git a/docs/developer/design/figures/split-node-faults/render-components-3d.py b/docs/developer/design/figures/split-node-faults/render-components-3d.py new file mode 100644 index 00000000..30525fea --- /dev/null +++ b/docs/developer/design/figures/split-node-faults/render-components-3d.py @@ -0,0 +1,95 @@ +"""3-D split components from the REAL mesh (pyvista; data-heavy, not cetz). + +Thesis: in 3-D the split doubles the interior of the PATCH — faces, edges +and vertices — while the RIM (the patch boundary) stays single, the tip +rule one dimension up. Rendered from an actual BoxInternalPatch + +split_fault mesh: the two coincident face sets pulled apart along the +normal for display, the shared rim drawn once, in black. + +Run inside the fault-split-node worktree env. +""" +import os + +import numpy as np +import pyvista as pv + +import underworld3 as uw +from underworld3.utilities.fault_split import split_fault + +pv.OFF_SCREEN = True +D = os.path.dirname(os.path.abspath(__file__)) + +PATCH = np.array([[0.5, 0.30, 0.30], [0.5, 0.70, 0.30], + [0.5, 0.70, 0.70], [0.5, 0.30, 0.70]]) +mesh = uw.meshing.BoxInternalPatch(cellSize=0.12, patch_points=PATCH, + patch_name="FltA") +child = split_fault(mesh, "FltA") +dm = child.dm +vS, vE = dm.getDepthStratum(0) +X = np.asarray(dm.getCoordinatesLocal().array).reshape(-1, 3) + + +def side_faces(label): + value = int(child.boundaries[label].value) + faces = [int(p) for p in + dm.getLabel(label).getStratumIS(value).getIndices()] + polys, verts = [], {} + pts = [] + for f in faces: + tri = [int(p) for p in dm.getTransitiveClosure(f)[0] + if vS <= int(p) < vE] + ids = [] + for v in tri: + if v not in verts: + verts[v] = len(pts) + pts.append(X[v - vS]) + ids.append(verts[v]) + polys.extend([3] + ids) + return pv.PolyData(np.array(pts), faces=np.array(polys)), faces + + +plus, plus_faces = side_faces("FltAPlus") +minus, _ = side_faces("FltAMinus") + +# rim = edges of the plus face set used exactly once +edge_use = {} +for f in plus_faces: + for e in dm.getCone(f): + edge_use[int(e)] = edge_use.get(int(e), 0) + 1 +rim_lines = [] +rim_pts = [] +for e, n in edge_use.items(): + if n == 1: + a, b = (int(q) for q in dm.getCone(e)) + rim_lines.extend([2, len(rim_pts), len(rim_pts) + 1]) + rim_pts.extend([X[a - vS], X[b - vS]]) +rim = pv.PolyData(np.array(rim_pts), lines=np.array(rim_lines)) + +EPS = 0.05 +plus_e = plus.translate((+EPS, 0, 0)) +minus_e = minus.translate((-EPS, 0, 0)) + +pl = pv.Plotter(off_screen=True, window_size=(1200, 950)) +pl.set_background("white") +pl.add_mesh(plus_e, color="#dce8fc", show_edges=True, edge_color="#4a7bf7", + line_width=1.0, lighting=False, opacity=1.0) +pl.add_mesh(minus_e, color="#fce4ec", show_edges=True, edge_color="#e57373", + line_width=1.0, lighting=False, opacity=1.0) +pl.add_mesh(rim, color="black", line_width=3.5, lighting=False) +box = pv.Box(bounds=(0, 1, 0, 1, 0, 1)) +pl.add_mesh(box.extract_all_edges(), color="#999999", line_width=0.8, + lighting=False) + +pl.add_point_labels( + np.array([[0.5 + EPS, 0.62, 0.76], [0.5 - EPS, 0.16, 0.30], + [0.5, 0.26, 0.78]]), + ["Plus copy (original points)", "Minus copy (replicas)", + "rim: single, shared"], + font_size=26, text_color="black", shape=None, always_visible=True, + show_points=False) + +pl.camera_position = [(1.75, -0.75, 1.25), (0.5, 0.5, 0.48), (0, 0, 1)] +out = os.path.join(D, "split-components-3d.png") +pl.screenshot(out) +pl.close() +print(f"wrote {out}") diff --git a/docs/developer/design/figures/split-node-faults/split-anatomy-data.json b/docs/developer/design/figures/split-node-faults/split-anatomy-data.json new file mode 100644 index 00000000..0b20373f --- /dev/null +++ b/docs/developer/design/figures/split-node-faults/split-anatomy-data.json @@ -0,0 +1 @@ +{"coords": [[0.0, 0.0], [0.5, 0.0], [0.5, 0.5], [0.0, 0.5], [0.5, 1.0], [0.0, 1.0], [1.0, 0.0], [1.0, 0.5], [1.0, 1.0], [1.5, 0.0], [1.5, 0.5], [1.5, 1.0], [2.0, 0.0], [2.0, 0.5], [2.0, 1.0], [2.5, 0.0], [2.5, 0.5], [2.5, 1.0], [3.0, 0.0], [3.0, 0.5], [3.0, 1.0]], "exploded": [[0.0, 0.0], [0.5, -0.22], [0.5, 0.5], [0.0, 0.5], [0.5, 1.0], [0.0, 1.0], [1.0, -0.22], [1.0, 0.5], [1.0, 1.0], [1.5, -0.22], [1.5, 0.5], [1.5, 1.0], [2.0, -0.22], [2.0, 0.5], [2.0, 1.0], [2.5, -0.22], [2.5, 0.5], [2.5, 1.0], [3.0, 0.0], [3.0, 0.5], [3.0, 1.0], [1.0, 0.28], [1.5, 0.28], [2.0, 0.28]], "tris": [[0, 1, 2], [0, 2, 3], [3, 2, 4], [3, 4, 5], [1, 6, 7], [1, 7, 2], [2, 7, 8], [2, 8, 4], [6, 9, 10], [6, 10, 7], [7, 10, 11], [7, 11, 8], [9, 12, 13], [9, 13, 10], [10, 13, 14], [10, 14, 11], [12, 15, 16], [12, 16, 13], [13, 16, 17], [13, 17, 14], [15, 18, 19], [15, 19, 16], [16, 19, 20], [16, 20, 17]], "moved_tris": [[0, 1, 2], [0, 2, 3], [3, 2, 4], [3, 4, 5], [1, 6, 21], [1, 21, 2], [2, 7, 8], [2, 8, 4], [6, 9, 22], [6, 22, 21], [7, 10, 11], [7, 11, 8], [9, 12, 23], [9, 23, 22], [10, 13, 14], [10, 14, 11], [12, 15, 16], [12, 16, 23], [13, 16, 17], [13, 17, 14], [15, 18, 19], [15, 19, 16], [16, 19, 20], [16, 20, 17]], "side": [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1], "chain": [2, 7, 10, 13, 16], "tips": [2, 16], "interior": [7, 10, 13], "replicas": {"7": 21, "10": 22, "13": 23}, "delta": 0.22} \ No newline at end of file diff --git a/docs/developer/design/figures/split-node-faults/split-anatomy.png b/docs/developer/design/figures/split-node-faults/split-anatomy.png new file mode 100644 index 0000000000000000000000000000000000000000..8b5bed25bec5377e8ad845391cc6466b3d6e233b GIT binary patch literal 173009 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zS5ud?YUN4kiSi!=@vEPDdhJFp53y99o7uxr$tNMw6VP?#tV&NKvx;nl7n^-a@Hl07 zT1#?+4Bj&FOIB%CS?4cY0H?#sdsFy)&tjde0*La9CCmC^vv2unF^i@f5@otBHg8QH zWDF-siK)Mm^;a%*UyR`X-gC`aK>omw=XFnbHu?eCn@Y2GN3A~RC{|J;%2Q6Y3~=JugISQdVJyH!JZ5Wa>*jXr z@k1|nxE!%Mz${dkBDK+E7b&`n+z6g8P2dbB*oa5l2xv&KV zy%#d+&=rMQTlc-z_7$L>L*4Z{nJ_BI=9Xz558MYhNqK}VTgkk%n8a}`=6Do)nUIgv zE5L9OU-UGpd<|wIlaSVGd1wcQ5?_`9MhloOzxT1!rLNf6ynp|bbm1Skv8|!0DJdaA z_x?}7RG;I9NC@)u1xt|$2_kQ|#2wngre*<`km)-zp+M_GQ0qzqOSZ<-Glj1zV0VhJ zSwM^;t~1tF5ZD{81`d2BI5Y*1*JW*Me9r`F;pf!Xu3D1QH*F0Iu!X(Bz-3gHOdyM< z@bn{*mZrhg`}XYVb<}b^h(kXin`|JwJ_-&1!WIg%`;v`{&GU*Tj0&@{@2IRN<_Gae zyfF*=WDOdv09-AV7EJzg^YYSQkEHbb#BRDN<|6`^Ik5>wPTs(LpI~Hb{{}szZC?dq zIcV-|ND+9H<)FQ!HZj$_h245$v%9#67DU!6H*M#kGA4w@7z(l^EPa4VE0`aYbjb-9 zRA6D-*#H0l literal 0 HcmV?d00001 From aa7303f7def7ac5b0261fc61b6d7ada93a510f76 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 08:39:56 +1000 Subject: [PATCH 16/60] Add the stack-on progression figure to the method write-up Five panels from deterministic Delaunay point sets: the static base with the fault as a geometric manifold, two adapt-on-top refinement layers graded toward it, the cut that turns it into a conforming facet chain, and the split (exploded), with the non-cumulative re-derive loop annotated. The chain's conformity in the generated data is verified programmatically, not assumed. Underworld development team with AI support from Claude Code --- .../design/SPLIT_NODE_FAULT_METHOD_2026-08.md | 9 ++ .../generate-stack-progression-data.py | 121 +++++++++++++++++ .../stack-progression-data.json | 1 + .../split-node-faults/stack-progression.png | Bin 0 -> 393968 bytes .../split-node-faults/stack-progression.typ | 128 ++++++++++++++++++ 5 files changed, 259 insertions(+) create mode 100644 docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py create mode 100644 docs/developer/design/figures/split-node-faults/stack-progression-data.json create mode 100644 docs/developer/design/figures/split-node-faults/stack-progression.png create mode 100644 docs/developer/design/figures/split-node-faults/stack-progression.typ diff --git a/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md b/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md index a386dd2e..29b62a65 100644 --- a/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md +++ b/docs/developer/design/SPLIT_NODE_FAULT_METHOD_2026-08.md @@ -134,6 +134,15 @@ constraint holds it shut regardless. ## 3. The mesh operation +![The stack-on progression](figures/split-node-faults/stack-progression.png) + +*Fig. 4 — where the split sits in the meshing pipeline. The base mesh is +static and never carries the fault; adapt-on-top layers refine toward the +fault manifold (a dashed geometric object until (d)); the finest child is +cut so the fault becomes a conforming facet chain, and only then split. +When the fault moves, the whole top of the stack is re-derived from the +same base — the operation is non-cumulative by construction.* + ### 3.1 Input contract and provenance Input: a *conforming labelled facet set* — the fault's name labels diff --git a/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py b/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py new file mode 100644 index 00000000..520d0ae1 --- /dev/null +++ b/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py @@ -0,0 +1,121 @@ +"""Geometry for the stack-on progression figure (cetz draws, Python +computes). + +Five panels from deterministic point sets over [0,2] x [0,1.2] with a +slanted fault segment: (a) the static base mesh with the fault MANIFOLD +overlaid (geometry only — not in the mesh); (b,c) two adapt-on-top +layers, points graded toward the manifold; (d) the cut — vertices placed +ON the segment so the fault becomes a conforming facet chain; (e) the +split, exploded for display exactly as in split-anatomy. +""" +import json +import os + +import numpy as np +from scipy.spatial import Delaunay + +A = np.array([0.55, 0.45]) +B = np.array([1.55, 0.80]) +T = (B - A) / np.linalg.norm(B - A) +N = np.array([-T[1], T[0]]) +LEN = float(np.linalg.norm(B - A)) + + +def seg_dist(p): + s = np.clip((p - A) @ T, 0.0, LEN) + return float(np.linalg.norm(p - (A + s * T))) + + +def grid(h): + xs = np.arange(0.0, 2.0 + 1e-9, h) + ys = np.arange(0.0, 1.2 + 1e-9, h) + return np.array([[x, y] for x in xs for y in ys]) + + +def band(h, width): + """Points laid out along the fault frame within +-width of it.""" + out = [] + for s in np.arange(-2 * h, LEN + 2 * h + 1e-9, h): + for d in np.arange(-width, width + 1e-9, h): + p = A + s * T + d * N + if 0.02 < p[0] < 1.98 and 0.02 < p[1] < 1.18: + out.append(p) + return np.array(out) + + +def dedup(points, spacing): + kept = [] + for p in points: + if all(np.linalg.norm(p - q) > spacing for q in kept): + kept.append(p) + return np.array(kept) + + +def triangulate(points): + tri = Delaunay(points) + return points, tri.simplices + + +def pack(points, tris): + return dict(coords=points.tolist(), tris=tris.tolist()) + + +panels = {} + +# (a) base: coarse uniform +base_pts = grid(0.4) +panels["base"] = pack(*triangulate(base_pts)) + +# (b) layer 1: base + a coarse band toward the manifold +l1 = dedup(np.vstack([grid(0.4), band(0.19, 0.30)]), 0.105) +panels["l1"] = pack(*triangulate(l1)) + +# (c) layer 2: tighter band on top +l2 = dedup(np.vstack([grid(0.4), band(0.19, 0.32), band(0.085, 0.12)]), 0.048) +panels["l2"] = pack(*triangulate(l2)) + +# (d) cut: clear a corridor around the segment, then place vertices ON it +keep = np.array([p for p in l2 if seg_dist(p) > 0.065]) +on_seg = np.array([A + s * T for s in np.arange(0.0, LEN + 1e-9, 0.085)]) +cut_pts = np.vstack([keep, on_seg]) +cut_pts, cut_tris = triangulate(cut_pts) +panels["cut"] = pack(cut_pts, cut_tris) +chain = list(range(len(keep), len(cut_pts))) # in s-order already + +# (e) split: explode the Minus flank (side of -N), tips pinned +interior = chain[1:-1] +tips = [chain[0], chain[-1]] +side = [] +for t in cut_tris: + cen = cut_pts[t].mean(axis=0) + s = np.clip((cen - A) @ T, 0.0, LEN) + touches = any(v in chain for v in t) + inside = 0.0 < (cen - A) @ T < LEN + side.append(-1 if ((cen - (A + s * T)) @ N < 0 and touches and inside) + else +1) +DELTA = 0.085 +exploded = [list(p) for p in cut_pts] +replicas = {} +for v in interior: + replicas[v] = len(exploded) + exploded.append(list(cut_pts[v] - DELTA * N)) +moved_tris, flank = [], set() +for t, s in zip(cut_tris.tolist(), side): + if s < 0: + moved_tris.append([replicas.get(v, v) for v in t]) + flank.update(v for v in t if v not in chain) + else: + moved_tris.append(list(t)) +for v in flank: + exploded[v] = list(np.array(exploded[v]) - DELTA * N) +panels["split"] = dict(coords=exploded, + tris=[list(t) for t in moved_tris], side=side) + +out = dict(panels=panels, chain=chain, tips=tips, interior=interior, + replicas={str(k): v for k, v in replicas.items()}, + fault=[A.tolist(), B.tolist()], cut_side=side) +here = os.path.dirname(os.path.abspath(__file__)) +with open(os.path.join(here, "stack-progression-data.json"), "w") as f: + json.dump(out, f) +for name, p in panels.items(): + print(f"{name}: {len(p['coords'])} pts, {len(p['tris'])} tris") diff --git a/docs/developer/design/figures/split-node-faults/stack-progression-data.json b/docs/developer/design/figures/split-node-faults/stack-progression-data.json new file mode 100644 index 00000000..78a51fad --- /dev/null +++ b/docs/developer/design/figures/split-node-faults/stack-progression-data.json @@ -0,0 +1 @@ +{"panels": {"base": {"coords": [[0.0, 0.0], [0.0, 0.4], [0.0, 0.8], [0.0, 1.2000000000000002], [0.4, 0.0], [0.4, 0.4], [0.4, 0.8], [0.4, 1.2000000000000002], [0.8, 0.0], [0.8, 0.4], [0.8, 0.8], [0.8, 1.2000000000000002], [1.2000000000000002, 0.0], [1.2000000000000002, 0.4], [1.2000000000000002, 0.8], [1.2000000000000002, 1.2000000000000002], [1.6, 0.0], [1.6, 0.4], [1.6, 0.8], [1.6, 1.2000000000000002], [2.0, 0.0], [2.0, 0.4], [2.0, 0.8], [2.0, 1.2000000000000002]], "tris": [[4, 8, 9], [5, 4, 9], [4, 1, 0], [1, 4, 5], [6, 1, 5], [1, 6, 2], [2, 7, 3], [6, 7, 2], [19, 22, 23], [22, 19, 18], [14, 19, 15], [19, 14, 18], [22, 17, 21], [17, 22, 18], [7, 10, 11], [10, 7, 6], [10, 5, 9], [10, 6, 5], [10, 15, 11], [10, 14, 15], [21, 16, 20], [17, 16, 21], [10, 13, 14], [13, 10, 9], [8, 13, 9], [12, 13, 8], [14, 13, 18], [13, 17, 18], [13, 16, 17], [16, 13, 12]]}, "l1": {"coords": [[0.0, 0.0], [0.0, 0.4], [0.0, 0.8], [0.0, 1.2000000000000002], [0.4, 0.0], [0.4, 0.4], [0.4, 0.8], [0.4, 1.2000000000000002], 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Thesis: the base mesh is STATIC; refinement +// layers stack toward the fault manifold; the cut and the split happen +// only at the top of the stack — and when the fault moves, the whole top +// is re-derived from the same base (nothing is cumulative). +#import "@preview/cetz:0.3.4" + +#set page(width: auto, height: auto, margin: 12pt) +#set text(size: 10pt) + +#let data = json("stack-progression-data.json") + +#let mesh-fill = rgb("#eef3fa") +#let mesh-fill-minus = rgb("#fce4ec") +#let mesh-fill-plus = rgb("#dce8fc") +#let mesh-stroke = rgb("#8899aa") +#let fault-col = rgb("#c62828") +#let arrow-col = rgb("#444444") + +#let GAP = 0.72 +#let PW = 2.0 + +#let panel-x(k) = k * (PW + GAP) + +#let draw-mesh(x0, p, fills: none) = { + import cetz.draw: * + let P(v) = (p.coords.at(v).at(0) + x0, p.coords.at(v).at(1)) + for (k, t) in p.tris.enumerate() { + let fill = if fills == none { mesh-fill } else { fills.at(k) } + line(P(t.at(0)), P(t.at(1)), P(t.at(2)), close: true, + fill: fill, stroke: (paint: mesh-stroke, thickness: 0.35pt)) + } +} + +#let draw-manifold(x0, dash: "dashed") = { + import cetz.draw: * + let a = data.fault.at(0) + let b = data.fault.at(1) + line((a.at(0) + x0, a.at(1)), (b.at(0) + x0, b.at(1)), + stroke: (paint: fault-col, thickness: 1.5pt, dash: dash)) +} + +#let stage-arrow(k, label) = { + import cetz.draw: * + let x = panel-x(k) + PW + 0.06 + line((x, 0.6), (x + GAP - 0.12, 0.6), + stroke: (paint: arrow-col, thickness: 1.1pt), mark: (end: ">")) + content((x + GAP / 2 - 0.06, 0.86), text(size: 8pt, label)) +} + +#cetz.canvas(length: 1.5cm, { + import cetz.draw: * + + // ---- (a) static base + the fault MANIFOLD (geometry, not mesh) -------- + draw-mesh(panel-x(0), data.panels.base) + draw-manifold(panel-x(0)) + content((panel-x(0) + PW / 2, -0.32), + align(center, text(size: 8.5pt)[(a) static base +\ fault manifold])) + + // ---- (b) layer 1 -------------------------------------------------------- + draw-mesh(panel-x(1), data.panels.l1) + draw-manifold(panel-x(1)) + content((panel-x(1) + PW / 2, -0.32), + align(center, text(size: 8.5pt)[(b) refined child,\ layer 1])) + + // ---- (c) layer 2 -------------------------------------------------------- + draw-mesh(panel-x(2), data.panels.l2) + draw-manifold(panel-x(2)) + content((panel-x(2) + PW / 2, -0.32), + align(center, text(size: 8.5pt)[(c) refined child,\ layer 2])) + + // ---- (d) the cut: a conforming labelled chain --------------------------- + draw-mesh(panel-x(3), data.panels.cut) + { + let p = data.panels.cut + let P(v) = (p.coords.at(v).at(0) + panel-x(3), p.coords.at(v).at(1)) + for i in range(data.chain.len() - 1) { + line(P(data.chain.at(i)), P(data.chain.at(i + 1)), + stroke: (paint: fault-col, thickness: 1.6pt)) + } + } + content((panel-x(3) + PW / 2, -0.32), + align(center, text(size: 8.5pt)[(d) cut: conforming\ facet chain])) + + // ---- (e) the split (exploded) ------------------------------------------- + { + let p = data.panels.split + let x0 = panel-x(4) + let fills = p.side.map(s => if s < 0 { mesh-fill-minus } + else { mesh-fill-plus }) + draw-mesh(x0, p, fills: fills) + let P(v) = (p.coords.at(v).at(0) + x0, p.coords.at(v).at(1)) + for i in range(data.chain.len() - 1) { + line(P(data.chain.at(i)), P(data.chain.at(i + 1)), + stroke: (paint: fault-col, thickness: 1.5pt)) + } + let lower(v) = if str(v) in data.replicas { data.replicas.at(str(v)) } + else { v } + for i in range(data.chain.len() - 1) { + line(P(lower(data.chain.at(i))), P(lower(data.chain.at(i + 1))), + stroke: (paint: fault-col, thickness: 1.5pt, + dash: "densely-dashed")) + } + for v in data.tips { + circle(P(v), radius: 0.038, fill: white, + stroke: (paint: black, thickness: 1.1pt)) + } + } + content((panel-x(4) + PW / 2, -0.32), + align(center, text(size: 8.5pt)[(e) split: coincident sides\ + (exploded for display)])) + + // arrows drawn LAST — panel fills would otherwise cover the labels + stage-arrow(0, [adapt]) + stage-arrow(1, [adapt]) + stage-arrow(2, [pull + cut]) + stage-arrow(3, [split]) + + // ---- the non-cumulative loop -------------------------------------------- + let y = -0.85 + line((panel-x(4) + PW / 2, y + 0.12), (panel-x(4) + PW / 2, y), + (panel-x(0) + PW / 2, y), (panel-x(0) + PW / 2, y + 0.12), + stroke: (paint: arrow-col, thickness: 0.9pt, dash: "dashed"), + mark: (end: ">")) + content(((panel-x(0) + panel-x(4) + PW) / 2, y - 0.28), + text(size: 8.5pt)[the fault moves $arrow.r$ re-derive the whole + top from the SAME base — nothing is cumulative, the coarse + stack never carries the fault]) +}) From 72e8da84b29b543da34823a0cb58b3291d6451dd Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 10:40:58 +1000 Subject: [PATCH 17/60] Stack-progression figure: refinement layers must not conform by accident MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The band points were laid out in the fault's own frame, so layer 2 manufactured the conforming line before the cut had anything to do — and clearing the corridor around it left visibly lopsided flanks. Refinement points now come from an axis-aligned lattice with deterministic jitter, restricted to the distance band: the layers refine TOWARD the manifold without containing it, and the conforming chain in the cut panel is unambiguously the cut's contribution. Underworld development team with AI support from Claude Code --- .../generate-stack-progression-data.py | 21 +++++++++++++----- .../stack-progression-data.json | 2 +- .../split-node-faults/stack-progression.png | Bin 393968 -> 362551 bytes 3 files changed, 16 insertions(+), 7 deletions(-) diff --git a/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py b/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py index 520d0ae1..f9fee6de 100644 --- a/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py +++ b/docs/developer/design/figures/split-node-faults/generate-stack-progression-data.py @@ -33,13 +33,22 @@ def grid(h): def band(h, width): - """Points laid out along the fault frame within +-width of it.""" + """Refinement points near the fault, deliberately NOT conforming to it: + an axis-aligned lattice with deterministic jitter, restricted to the + distance band. A real adapted mesh refines TOWARD the line without + containing it — the conforming chain must be visibly the CUT's + contribution, not an accident of the refinement layout.""" out = [] - for s in np.arange(-2 * h, LEN + 2 * h + 1e-9, h): - for d in np.arange(-width, width + 1e-9, h): - p = A + s * T + d * N - if 0.02 < p[0] < 1.98 and 0.02 < p[1] < 1.18: - out.append(p) + xs = np.arange(0.06, 1.95, h) + ys = np.arange(0.06, 1.15, h) + for i, x in enumerate(xs): + for j, y in enumerate(ys): + q = np.array([ + x + 0.33 * h * np.sin(12.9898 * i + 78.233 * j), + y + 0.33 * h * np.sin(39.3460 * i + 11.135 * j)]) + if (seg_dist(q) < width + and 0.03 < q[0] < 1.97 and 0.03 < q[1] < 1.17): + out.append(q) return np.array(out) diff --git a/docs/developer/design/figures/split-node-faults/stack-progression-data.json b/docs/developer/design/figures/split-node-faults/stack-progression-data.json index 78a51fad..04924501 100644 --- a/docs/developer/design/figures/split-node-faults/stack-progression-data.json +++ b/docs/developer/design/figures/split-node-faults/stack-progression-data.json @@ -1 +1 @@ -{"panels": {"base": {"coords": [[0.0, 0.0], [0.0, 0.4], [0.0, 0.8], [0.0, 1.2000000000000002], [0.4, 0.0], [0.4, 0.4], [0.4, 0.8], [0.4, 1.2000000000000002], [0.8, 0.0], [0.8, 0.4], [0.8, 0.8], [0.8, 1.2000000000000002], [1.2000000000000002, 0.0], [1.2000000000000002, 0.4], [1.2000000000000002, 0.8], [1.2000000000000002, 1.2000000000000002], [1.6, 0.0], [1.6, 0.4], [1.6, 0.8], [1.6, 1.2000000000000002], [2.0, 0.0], [2.0, 0.4], [2.0, 0.8], [2.0, 1.2000000000000002]], "tris": [[4, 8, 9], [5, 4, 9], [4, 1, 0], [1, 4, 5], [6, 1, 5], [1, 6, 2], [2, 7, 3], [6, 7, 2], [19, 22, 23], [22, 19, 18], [14, 19, 15], [19, 14, 18], [22, 17, 21], [17, 22, 18], [7, 10, 11], [10, 7, 6], [10, 5, 9], [10, 6, 5], [10, 15, 11], [10, 14, 15], [21, 16, 20], [17, 16, 21], [10, 13, 14], [13, 10, 9], [8, 13, 9], [12, 13, 8], [14, 13, 18], [13, 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zpqJSK@-SKdK>xHjA&4R=o{QWJ3h`1PiL8iG^;_Ml>VFz`5_EY0zlE=cR>TQG7?@0=AO_ddSB57?zvWJ4`hn0u?&Rm4cG_vF!>zctFC<@IKRfr| zjRI3HVheoU64=DyuhT!gJh*>H*AI~U5hDa=GQ-*OMJ-R1H(?&XdE}riH&N-iPdAdS zx0A!5Cole@fbVUOtjUo970*aAz`p0+tj&2=(EFE9C{an>t9@$ej&Yger zry~ZK3DzK!L(q*dqg{Rexh&s ztCSvJed9;p%vXNal+P0r&e~D+zxr8kO+D+Yud{PyedVu`kNN7`_@>XLznA|H%l{uf zQpf)s`mK)9`TzWjCjG<9`0s~iHvfM=G@ihJue2^_@=yMIdv@IwI@6By{`KtXueD#e T`u;%wcf+-}jCkwnd#3*n#Roo9 From 90e1e1cc9125e81a27fc2d9754b48b7b5e532849 Mon Sep 17 00:00:00 2001 From: lmoresi Date: Wed, 5 Aug 2026 11:06:16 +1000 Subject: [PATCH 18/60] Figures: double-line symbol for the split fault, finer strokes throughout MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The stack-progression's split panel now shows the mesh in its TRUE (unexploded) geometry — the copies are coincident — with the doubled surface drawn as the conventional double line: two thin parallel strokes offset along the fault normal, white between, tip rings at the shared ends. All three cetz figures move to finer line weights and compile at 300 ppi. 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