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zJA2%G?%as@ko?x`*stXXz9&yPLC!PrV>i9Yk7fnQ7!$}+5w5I4s{A~j`vr8FJv1cH zY=`&BD&uGI2Q==t9wJ!fLJbCv8K}vc%~Pyz{Liv5l{Y0zi{qfaj0&mh>t}&fA6I{8 z9K2pq#0I?%ichBW9Ha3A_d@sGR}y_D)Lf@wJ2K5jp0Nuo^k=c)2(JqZl^MjN!j8V*ADyJK(=S_NMw%V z_Cm^Wbm!y{L(j4dE2Kv`kOYp0V=YMYLu`V$g103jJI*#QQSEsb9~$qqU;B3|f;Z8K ziB8g|>L9cL5zhMP!}A&X-)Wkf2Fld}*y%_vN@`le=iDy*cawz>!9?JHyM#b?|=xwlslC From 523bb416a67387b870291da42ffe2b1ac3309616 Mon Sep 17 00:00:00 2001 From: joargu Date: Mon, 27 Jul 2026 20:39:01 +0200 Subject: [PATCH 2/5] Change order of positions --- .../soil-creep-landlab/soil_creep.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/wolf-sheep-soil-creep/soil-creep-landlab/soil_creep.py b/wolf-sheep-soil-creep/soil-creep-landlab/soil_creep.py index 2f17e3830..2debf84ee 100644 --- a/wolf-sheep-soil-creep/soil-creep-landlab/soil_creep.py +++ b/wolf-sheep-soil-creep/soil-creep-landlab/soil_creep.py @@ -23,6 +23,8 @@ rmg = RasterModelGrid((width, height)) +solver_dt = 0.2 * rmg.dx * rmg.dx / fast_creep + # Create elevation field and have it slope down to the south at 10% gradient elev = rmg.add_zeros("topographic__elevation", at="node") elev[:] = 0.1 * rmg.y_of_node @@ -54,24 +56,22 @@ solver_process_size = 1 participant = precice.Participant(participant_name, config_file_name, solver_process_index, solver_process_size) -positions = [[x, y] for x in range(width) for y in range(height)] -vertex_gm_ids = participant.set_mesh_vertices("Soil-Creep-Mesh", positions) -vertex_soil_ids = participant.set_mesh_vertices("Soil-Depth-Mesh", positions) +positions = [[x, y] for y in range(height) for x in range(width)] +vertex_ids = participant.set_mesh_vertices("Soil-Creep-Mesh", positions) participant.initialize() while participant.is_coupling_ongoing(): - solver_dt = 0.2 * rmg.dx * rmg.dx / fast_creep precice_dt = participant.get_max_time_step_size() dt = np.minimum(solver_dt, precice_dt) - gm = participant.read_data("Soil-Creep-Mesh", "Grass", vertex_gm_ids, dt) + gm = participant.read_data("Soil-Creep-Mesh", "Grass", vertex_ids, dt) # Assign the higher creep coefficient to cells where the grass has # been eaten and not yet recovered; the slower value is assigned to # "fully grown" grass patches. - creep_coef[gm.flatten() == 1] = fast_creep - creep_coef[gm.flatten() == 2] = slow_creep + creep_coef[gm == 1] = fast_creep + creep_coef[gm == 2] = slow_creep # Limit the creep coefficient according to the soil-thickness field, so absent soil cannot move. creep_coef *= 1.0 - np.exp(-soil / hstar) @@ -86,7 +86,7 @@ # Update the soil cover soil += elev - prior_elev - participant.write_data("Soil-Depth-Mesh", "Soil", vertex_soil_ids, soil) + participant.write_data("Soil-Creep-Mesh", "Soil", vertex_ids, soil) participant.advance(dt) From e1f50aae89f5783f33c4e7f87f48e6ef964abcd0 Mon Sep 17 00:00:00 2001 From: joargu Date: Mon, 27 Jul 2026 20:45:05 +0200 Subject: [PATCH 3/5] Use one mesh for read and write --- wolf-sheep-soil-creep/precice-config.xml | 34 +++++++++--------------- 1 file changed, 13 insertions(+), 21 deletions(-) diff --git a/wolf-sheep-soil-creep/precice-config.xml b/wolf-sheep-soil-creep/precice-config.xml index 2d988c5ff..ed0cf11ef 100644 --- a/wolf-sheep-soil-creep/precice-config.xml +++ b/wolf-sheep-soil-creep/precice-config.xml @@ -1,5 +1,6 @@ + + + - - - - - - - - + - - + - - + + + - - + + + From 7b317e8e42fc3f68dad710116fc2aecb4fd71acd Mon Sep 17 00:00:00 2001 From: joargu Date: Mon, 27 Jul 2026 20:49:20 +0200 Subject: [PATCH 4/5] Change order of positions --- .../wolf-sheep-grass-mesa/wolf_sheep_grass.py | 17 +++++++---------- 1 file changed, 7 insertions(+), 10 deletions(-) diff --git a/wolf-sheep-soil-creep/wolf-sheep-grass-mesa/wolf_sheep_grass.py b/wolf-sheep-soil-creep/wolf-sheep-grass-mesa/wolf_sheep_grass.py index 54b267e4e..246835e8d 100644 --- a/wolf-sheep-soil-creep/wolf-sheep-grass-mesa/wolf_sheep_grass.py +++ b/wolf-sheep-soil-creep/wolf-sheep-grass-mesa/wolf_sheep_grass.py @@ -24,7 +24,6 @@ ground_cover_cmap = copy.copy(mpl.colormaps["YlGn"]) - def generate_grass_map(model): grass_map = np.zeros((model.grid.width, model.grid.height)) for cell in model.grid: @@ -43,7 +42,6 @@ def plot_grass_map(grass_map): plt.imshow(grass_map, interpolation="nearest", cmap=ground_cover_cmap) plt.colorbar() - def limit_grass_by_soil(wsg_model, soil, min_soil_depth): soilmatrix = soil.reshape((wsg_model.width, wsg_model.height)) for cell in wsg_model.grid: @@ -54,7 +52,6 @@ def limit_grass_by_soil(wsg_model, soil, min_soil_depth): if type(agent) is GrassPatch: agent.fully_grown = False - width = ws.grid.width height = ws.grid.height @@ -65,23 +62,22 @@ def limit_grass_by_soil(wsg_model, soil, min_soil_depth): solver_process_size = 1 participant = precice.Participant(participant_name, config_file_name, solver_process_index, solver_process_size) -positions = [[x, y] for x in range(width) for y in range(height)] -vertex_gm_ids = participant.set_mesh_vertices("Wolf-Sheep-Grass-Mesh", positions) -vertex_soil_ids = participant.set_mesh_vertices("Soil-Grass-Mesh", positions) +positions = [[x, y] for y in range(height) for x in range(width)] -soil = np.zeros([width * height]) +vertex_ids = participant.set_mesh_vertices("Wolf-Sheep-Grass-Mesh", positions) if participant.requires_initial_data(): gm = generate_grass_map(ws) - participant.write_data("Wolf-Sheep-Grass-Mesh", "Grass", vertex_gm_ids, gm.flatten()) + participant.write_data("Wolf-Sheep-Grass-Mesh", "Grass", vertex_ids, gm.flatten()) participant.initialize() + while participant.is_coupling_ongoing(): precice_dt = participant.get_max_time_step_size() dt = np.minimum(solver_dt, precice_dt) - soil = participant.read_data("Soil-Grass-Mesh", "Soil", vertex_soil_ids, dt) + soil = participant.read_data("Wolf-Sheep-Grass-Mesh", "Soil", vertex_ids, dt) # Update the grass cover limit_grass_by_soil(ws, soil, min_depth_for_grass) @@ -90,8 +86,9 @@ def limit_grass_by_soil(wsg_model, soil, min_soil_depth): ws.step() gm = generate_grass_map(ws) - participant.write_data("Wolf-Sheep-Grass-Mesh", "Grass", vertex_gm_ids, gm.flatten()) + participant.write_data("Wolf-Sheep-Grass-Mesh", "Grass", vertex_ids, gm.flatten()) participant.advance(dt) + participant.finalize() From e7d3a332786485ad076dbc23893a3af2b16183c8 Mon Sep 17 00:00:00 2001 From: joargu Date: Mon, 27 Jul 2026 20:55:20 +0200 Subject: [PATCH 5/5] Add fenicsx and simplified Landlab solvers --- .../soil-creep-fenicsx/clean.sh | 11 + .../precice-adapter-config.json | 19 ++ .../soil-creep-fenicsx/run.sh | 23 ++ .../soil-creep-simplified-landlab/clean.sh | 9 + .../requirements.txt | 3 + .../soil-creep-simplified-landlab/run.sh | 21 ++ .../soil_creep.py | 246 ++++++++++++++++++ .../solver-fenicsx/requirements.txt | 3 + .../solver-fenicsx/soil_creep.py | 241 +++++++++++++++++ 9 files changed, 576 insertions(+) create mode 100644 wolf-sheep-soil-creep/soil-creep-fenicsx/clean.sh create mode 100644 wolf-sheep-soil-creep/soil-creep-fenicsx/precice-adapter-config.json create mode 100644 wolf-sheep-soil-creep/soil-creep-fenicsx/run.sh create mode 100644 wolf-sheep-soil-creep/soil-creep-simplified-landlab/clean.sh create mode 100644 wolf-sheep-soil-creep/soil-creep-simplified-landlab/requirements.txt create mode 100644 wolf-sheep-soil-creep/soil-creep-simplified-landlab/run.sh create mode 100644 wolf-sheep-soil-creep/soil-creep-simplified-landlab/soil_creep.py create mode 100644 wolf-sheep-soil-creep/solver-fenicsx/requirements.txt create mode 100644 wolf-sheep-soil-creep/solver-fenicsx/soil_creep.py diff --git a/wolf-sheep-soil-creep/soil-creep-fenicsx/clean.sh b/wolf-sheep-soil-creep/soil-creep-fenicsx/clean.sh new file mode 100644 index 000000000..a2e82c73e --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-fenicsx/clean.sh @@ -0,0 +1,11 @@ +#!/usr/bin/env sh +set -e -u + +SCRIPT_DIR="$(cd "$(dirname "$0")" && pwd)" +cd "$SCRIPT_DIR" + +rm -rfv ./output/ + +. ../../tools/cleaning-tools.sh + +clean_fenicsx . diff --git a/wolf-sheep-soil-creep/soil-creep-fenicsx/precice-adapter-config.json b/wolf-sheep-soil-creep/soil-creep-fenicsx/precice-adapter-config.json new file mode 100644 index 000000000..3948d55d6 --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-fenicsx/precice-adapter-config.json @@ -0,0 +1,19 @@ +{ + "participant_name": "Soil-Creep", + "precice_config_file_path": "../precice-config.xml", + "interfaces": [ + { + "mesh_name": "Soil-Creep-Mesh", + "write_data": [ + { + "name": "Soil" + } + ], + "read_data": [ + { + "name": "Grass" + } + ] + } + ] +} diff --git a/wolf-sheep-soil-creep/soil-creep-fenicsx/run.sh b/wolf-sheep-soil-creep/soil-creep-fenicsx/run.sh new file mode 100644 index 000000000..204497a6e --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-fenicsx/run.sh @@ -0,0 +1,23 @@ +#!/usr/bin/env bash +set -e -u + +. ../../tools/log.sh + +exec > >(tee --append "$LOGFILE") 2>&1 + +if [ ! -v PRECICE_TUTORIALS_NO_VENV ]; then + + if [ ! -d ".venv" ]; then + python3 -m venv --system-site-packages .venv + source .venv/bin/activate + pip install -r ../solver-fenicsx/requirements.txt && pip freeze > pip-installed-packages.log + else + source .venv/bin/activate + fi + +fi + +mkdir -p output +python3 ../solver-fenicsx/soil_creep.py + +close_log diff --git a/wolf-sheep-soil-creep/soil-creep-simplified-landlab/clean.sh b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/clean.sh new file mode 100644 index 000000000..ebce578f2 --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/clean.sh @@ -0,0 +1,9 @@ +#!/usr/bin/env sh +set -e -u + +rm -rfv ./output/ + +. ../../tools/cleaning-tools.sh + +clean_precice_logs . +clean_case_logs . diff --git a/wolf-sheep-soil-creep/soil-creep-simplified-landlab/requirements.txt b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/requirements.txt new file mode 100644 index 000000000..29f7bd20c --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/requirements.txt @@ -0,0 +1,3 @@ +numpy >1, <2 +matplotlib>=3,<4 +pyprecice~=3.0 diff --git a/wolf-sheep-soil-creep/soil-creep-simplified-landlab/run.sh b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/run.sh new file mode 100644 index 000000000..6cfe51b1c --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/run.sh @@ -0,0 +1,21 @@ +#!/usr/bin/env bash +set -e -u + +. ../../tools/log.sh + +exec > >(tee --append "$LOGFILE") 2>&1 + +if [ ! -v PRECICE_TUTORIALS_NO_VENV ]; then + if [ ! -d ".venv" ]; then + python3 -m venv .venv + source .venv/bin/activate + pip install -r requirements.txt && pip freeze > pip-installed-packages.log + else + source .venv/bin/activate + fi +fi + +mkdir -p output +python3 soil_creep.py + +close_log diff --git a/wolf-sheep-soil-creep/soil-creep-simplified-landlab/soil_creep.py b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/soil_creep.py new file mode 100644 index 000000000..79ed6d78d --- /dev/null +++ b/wolf-sheep-soil-creep/soil-creep-simplified-landlab/soil_creep.py @@ -0,0 +1,246 @@ +import copy +import matplotlib as mpl +import matplotlib.pyplot as plt +import numpy as np +import precice + +class LandlabLinearDiffuserClone: + CORE = 0 # regular node + FIXED_VALUE = 1 # Dirichlet fixed elevation + CLOSED = 4 # Neumann zero-flux + + def __init__(self, z, D, dx): + self.z = z # grid + self.D = D # linear diffusivity + self.dx = dx # node spacing + self.ny, self.nx = z.shape # grid height and width + self.id = np.arange(self.nx * self.ny).reshape(self.ny, self.nx) + + self.status = np.full((self.ny, self.nx), self.FIXED_VALUE, dtype=np.uint8) + self.status[1:-1, 1:-1] = self.CORE + + # Have one open boundary on the south side + # rmg.set_closed_boundaries_at_grid_edges(True, True, True, False) + # order: right, top, left, bottom + self.status[:, -1] = self.CLOSED + self.status[-1, :] = self.CLOSED + self.status[:, 0] = self.CLOSED + + self._build_links() + + def _build_links(self): # Initalize list of active links: between two core nodes or between core and fixed + ny, nx = self.ny, self.nx + links = [] + + for j in range(ny): + for i in range(nx - 1): + links.append((self.id[j, i], self.id[j, i + 1])) + + for j in range(ny - 1): + for i in range(nx): + links.append((self.id[j, i], self.id[j + 1, i])) + + status = self.status.ravel() + active_links = [] + + for n1, n2 in links: + s1 = status[n1] + s2 = status[n2] + + if s1 == self.CLOSED or s2 == self.CLOSED: + continue + + if s1 != self.CORE and s2 != self.CORE: + continue + + active_links.append((n1, n2)) + + self.links = np.array(active_links, dtype=int) + + def step(self, dt): + D = self.D.ravel() + + active_D = np.array([ + np.maximum(D[n1], D[n2]) + for n1, n2 in self.links + ]) + + internal_dt = 0.15 * self.dx * self.dx / np.nanmax(active_D) + + repeats = int(dt // internal_dt) + remainder = dt - repeats * internal_dt + + for _ in range(repeats): + self._substep(internal_dt) + + if remainder > 0: + self._substep(remainder) + + def _substep(self, dt): + z = self.z.ravel() + D = self.D.ravel() + status = self.status.ravel() + + dzdt = np.zeros_like(z) + + for n1, n2 in self.links: # Iterate over all active links (tuples) + Dk = np.maximum(D[n1], D[n2]) # max link diffusivity + q = -Dk * (z[n2] - z[n1]) / self.dx + + if status[n1] == self.CORE: + dzdt[n1] -= q / self.dx + if status[n2] == self.CORE: + dzdt[n2] += q / self.dx + + z[status == self.CORE] += dt * dzdt[status == self.CORE] + self.z = z.reshape(self.ny, self.nx) + +initial_soil_depth = 0.3 + +# Set the soil-thickness scale for limiting creep where little soil is available +hstar = 0.2 + +# Set parameters for two soil creep coefficients: slow (full grass cover) and fast (partial or "eaten" grass cover) +fast_creep = 0.1 +slow_creep = 0.001 + +# Set grid size (same as W-S-G model's grid) +# Adjust refinement by changing number of nodes ny/nx (e.g. double refinement by setting ny = nx = 40). +ny = nx = 20 +length_x = 19 +length_y = 19 +dx = length_x/(nx-1) + +solver_dt = 0.2 * dx * dx / fast_creep + +# Grass map field for plotting +gm = np.zeros((ny,nx)) + +# Create elevation field and have it slope down to the south at 10% gradient +y = np.arange(ny)[:, None] * np.ones((ny, nx)) * dx +elev = 0.1 * y + +# Remember the starting elevation so we can calculate cumulative erosion/deposition +initial_elev = np.zeros((ny,nx)) +initial_elev[:] = elev + +# Also remember the elevation of the prior time step, so we can difference +prior_elev = np.zeros((ny,nx)) + +# Create a field for the creep coefficient +creep_coef = np.zeros((ny,nx)) + +# Create a soil-thickness field +soil = np.full((ny, nx), initial_soil_depth) + +# Instantiate a LinearDiffuser (soil creep) Landlab component +diffuser = LandlabLinearDiffuserClone( + z=elev, + D=creep_coef, + dx=dx, +) + +# preCICE setup +participant_name = "Soil-Creep" +config_file_name = "../precice-config.xml" +solver_process_index = 0 +solver_process_size = 1 +participant = precice.Participant(participant_name, config_file_name, solver_process_index, solver_process_size) + +x = np.linspace(0, length_x, nx) +y = np.linspace(0, length_y, ny) + +positions = [[x0, y0] for y0 in y for x0 in x] +vertex_ids = participant.set_mesh_vertices("Soil-Creep-Mesh", positions) + +participant.initialize() + +while participant.is_coupling_ongoing(): + precice_dt = participant.get_max_time_step_size() + dt = np.minimum(solver_dt, precice_dt) + + gm_flat = participant.read_data("Soil-Creep-Mesh", "Grass", vertex_ids, dt) + gm[:,:] = np.asarray(gm_flat).reshape(ny, nx) + + # Assign the higher creep coefficient to cells where the grass has + # been eaten and not yet recovered; the slower value is assigned to + # "fully grown" grass patches. + creep_coef[gm == 1] = fast_creep + creep_coef[gm == 2] = slow_creep + + # Adjust the creep coefficient to account for soil depth + creep_coef[:, :] *= 1.0 - np.exp(-soil / hstar) + + # Remember the current elevation + prior_elev[:, :] = elev + + # Run the soil-creep model + diffuser.step(dt) + + # Update elevation + elev = diffuser.z + + # Update the soil cover + soil += elev - prior_elev + + participant.write_data("Soil-Creep-Mesh", "Soil", vertex_ids, soil.ravel()) + + participant.advance(dt) + +participant.finalize() + + +# Mask for closed boundaries (mimic Landlab) +closed = np.zeros((ny, nx), dtype=bool) + +closed[1:-1, 0] = True +closed[1:-1, -1] = True +closed[-1, :] = True + +# Calculate and plot the erosion/deposition patterns +plt.figure() +ero_dep = elev - initial_elev +maxchange = np.max(np.abs(ero_dep)) + +cmap = mpl.colormaps["coolwarm_r"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(ero_dep, mask=closed), + origin="lower", + vmin=-maxchange, + vmax=maxchange, + cmap=cmap +) +plt.colorbar(label="Depth of soil accumulation (+) or loss (-), m") +plt.savefig("output/erosion_deposition_patterns.png") +plt.close() + +# Soil thickness +cmap = mpl.colormaps["pink"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(soil, mask=closed), + origin="lower", + cmap=cmap +) +plt.colorbar(label="Soil thickness, m") +plt.savefig("output/soil_thickness.png") +plt.close() + +# Ground cover +cmap = mpl.colormaps["YlGn"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(gm, mask=closed), + origin="lower", + cmap=cmap +) +plt.colorbar(label="Ground cover (1 = bare, 2 = grass)") +plt.savefig("output/grass_map.png") +plt.close() diff --git a/wolf-sheep-soil-creep/solver-fenicsx/requirements.txt b/wolf-sheep-soil-creep/solver-fenicsx/requirements.txt new file mode 100644 index 000000000..77f618ab8 --- /dev/null +++ b/wolf-sheep-soil-creep/solver-fenicsx/requirements.txt @@ -0,0 +1,3 @@ +numpy >1, <2 +fenicsxprecice~=1.0 +matplotlib>=3,<4 diff --git a/wolf-sheep-soil-creep/solver-fenicsx/soil_creep.py b/wolf-sheep-soil-creep/solver-fenicsx/soil_creep.py new file mode 100644 index 000000000..ca4ef08bd --- /dev/null +++ b/wolf-sheep-soil-creep/solver-fenicsx/soil_creep.py @@ -0,0 +1,241 @@ +""" +Linear diffusion equation of soil with Dirichlet boundary. + z' = div(D*grad(z)) in the square [0,19] x [0,19] + z = 0 on the bottom boundary +""" + +import copy +import matplotlib as mpl +import matplotlib.pyplot as plt +import ufl +import numpy as np +from petsc4py import PETSc +from mpi4py import MPI +from dolfinx import default_scalar_type, fem, mesh +from dolfinx.fem.petsc import ( + assemble_vector, + assemble_matrix, + create_vector, + apply_lifting, + set_bc, +) +from fenicsxprecice import Adapter, CouplingMesh + +def bottom_boundary(x): + return np.isclose(x[1], 0) + +# Volume coupling +def coupling_boundary(x): + return np.ones(x.shape[1], dtype=bool) + + +initial_soil_depth = 0.3 + +# Set the soil-thickness scale for limiting creep where little soil is available +hstar = 0.2 + +# Set parameters for two soil creep coefficients: slow (full grass cover) and fast (partial or "eaten" grass cover) +fast_creep = 0.1 +slow_creep = 0.001 + +# Set grid size (same as W-S-G model's grid) +# Adjust refinement by changing number of nodes ny/nx (e.g. double refinement by setting ny = nx = 40). +nx = ny = 20 +length_x = length_y = 19.0 +dx = length_x / (nx - 1) + +fenics_dt = 0.2 * dx * dx / fast_creep + +comm = MPI.COMM_WORLD + +# Create domain and function space +domain = mesh.create_rectangle( + comm, + [np.array([0.0, 0.0]), np.array([length_x, length_y])], + [nx - 1, ny - 1], + mesh.CellType.triangle, +) +V = fem.functionspace(domain, ("Lagrange", 1)) +Q = fem.functionspace(domain, ("DG", 0)) + +# u is elev function +u_n = fem.Function(V) +u_n.interpolate(lambda x: 0.1 * x[1]) + +initial_elev = fem.Function(V) +initial_elev.x.array[:] = u_n.x.array + +# D is diffusivity function / creep coefficient +D = fem.Function(Q) + +# Functions for coupling +soil = fem.Function(V) +soil.x.array[:] = initial_soil_depth + +grass = fem.Function(V) + +# Auxiliary functions +grass_diffusivity = fem.Function(V) +soil_scaling = fem.Function(V) + +# Dirichlet boundary condition +bottom_dofs = fem.locate_dofs_geometrical(V, bottom_boundary) +bc = fem.dirichletbc(default_scalar_type(0), bottom_dofs, V) + +# preCICE setup +participant = Adapter(adapter_config_filename="precice-adapter-config.json", mpi_comm=comm) + +coupling_mesh = CouplingMesh("Soil-Creep-Mesh", coupling_boundary, {"Grass": V}, {"Soil": soil}) +participant.initialize([coupling_mesh]) + +# Define the variational formualation +u, v = ufl.TrialFunction(V), ufl.TestFunction(V) +dt_constant = fem.Constant(domain, default_scalar_type(fenics_dt)) + +a = u * v * ufl.dx + dt_constant * D * ufl.dot(ufl.grad(u), ufl.grad(v)) * ufl.dx +L = u_n * v * ufl.dx + +bilinear_form = fem.form(a) +linear_form = fem.form(L) + +# Create the matrix and vector for the linear problem +b = create_vector(fem.extract_function_spaces(linear_form)) +uh = fem.Function(V) + +# Define a linear variational solver +solver = PETSc.KSP().create(domain.comm) +solver.setType(PETSc.KSP.Type.PREONLY) +solver.getPC().setType(PETSc.PC.Type.LU) + + +while participant.is_coupling_ongoing(): + precice_dt = participant.get_max_time_step_size() + dt = np.min([fenics_dt, precice_dt]) + dt_constant.value = default_scalar_type(dt) + + participant.read_data("Soil-Creep-Mesh", "Grass", dt, grass) + + grass_diffusivity.x.array[:] = np.where( + grass.x.array == 1, + fast_creep, + slow_creep, + ) + grass_diffusivity.x.scatter_forward() + + soil_scaling.x.array[:] = 1.0 - np.exp(-soil.x.array / hstar) + soil_scaling.x.scatter_forward() + + D_expr = fem.Expression( + grass_diffusivity * soil_scaling, + Q.element.interpolation_points, + ) + D.interpolate(D_expr) + + # Reassemble problem because D is updated + A = assemble_matrix(bilinear_form, bcs=[bc]) + A.assemble() + solver.setOperators(A) + + # Update the right hand side reusing the initial vector + with b.localForm() as loc_b: + loc_b.set(0) + assemble_vector(b, linear_form) + + apply_lifting(b, [bilinear_form], [[bc]]) + b.ghostUpdate(addv=PETSc.InsertMode.ADD_VALUES, mode=PETSc.ScatterMode.REVERSE) + + set_bc(b, [bc]) + + # Solve linear problem + solver.solve(b, uh.x.petsc_vec) + uh.x.scatter_forward() + + soil.x.array[:] += uh.x.array - u_n.x.array + soil.x.scatter_forward() + + # Update solution at previous time step (u_n) + u_n.x.array[:] = uh.x.array + + participant.write_data("Soil-Creep-Mesh", "Soil", soil) + + participant.advance(dt) + + +participant.finalize() + + + +dofs_coupling_coordinates = V.tabulate_dof_coordinates()[:, :2].copy() + +def values_to_grid(values): + grid = np.full((ny, nx), np.nan) + + for coord, value in zip(dofs_coupling_coordinates, values): + i = int(round(coord[0] / length_x * (nx - 1))) + j = int(round(coord[1] / length_y * (ny - 1))) + grid[j, i] = value + + return grid + + +# Mask for closed boundaries (mimic Landlab) +closed = np.zeros((ny, nx), dtype=bool) + +closed[1:-1, 0] = True +closed[1:-1, -1] = True +closed[-1, :] = True + +# Calculate and plot the erosion/deposition patterns +ero_dep = u_n.x.array - initial_elev.x.array +ero_dep_grid = values_to_grid(ero_dep) + +maxchange = np.max(np.abs(ero_dep_grid)) + +cmap = mpl.colormaps["coolwarm_r"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(ero_dep_grid, mask=closed), + origin="lower", + vmin=-maxchange, + vmax=maxchange, + cmap=cmap +) +plt.colorbar(label="Depth of soil accumulation (+) or loss (-), m") +plt.savefig("output/erosion_deposition_patterns.png") +plt.close() + +# Soil thickness +soil_grid = values_to_grid(soil.x.array) + +cmap = mpl.colormaps["pink"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(soil_grid, mask=closed), + origin="lower", + cmap=cmap, +) +plt.colorbar(label="Soil thickness, m") +plt.savefig("output/soil_thickness.png") +plt.close() + +# Ground cover +gm_grid = values_to_grid(grass.x.array) + +cmap = mpl.colormaps["YlGn"].copy() +cmap.set_bad("black") + +plt.figure() +plt.imshow( + np.ma.array(gm_grid, mask=closed), + origin="lower", + cmap=cmap, + vmin=1, + vmax=2, +) +plt.colorbar(label="Ground cover (1 = bare, 2 = grass)") +plt.savefig("output/grass_map.png") +plt.close()