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<tdclass="markdownTableBodyNone"><spanclass="tt">m_qbmm</span></td><tdclass="markdownTableBodyNone">Quadrature-based moment methods (QBMM) for polydisperse bubble moment inversion and transport </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_hyperelastic</span></td><tdclass="markdownTableBodyNone">Computes the left Cauchy–Green deformation tensor and hyperelastic stress source terms </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_hypoelastic</span></td><tdclass="markdownTableBodyNone">Computes hypoelastic stress-rate source terms and damage-state evolution </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_phase_change</span></td><tdclass="markdownTableBodyNone">Phase transition relaxation solvers for liquid-vapor flows with cavitation and boiling </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_chemistry</span></td><tdclass="markdownTableBodyNone">Multi-species chemistry interface for thermodynamic properties, reaction rates, and transport coefficients</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_phase_change</span></td><tdclass="markdownTableBodyNone">Phase transition relaxation solvers for liquid-vapor flows with cavitation and boiling</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_acoustic_src</span></td><tdclass="markdownTableBodyNone">One-way acoustic source injection, Maeda and Colonius JCP (2017)</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_chemistry</span></td><tdclass="markdownTableBodyNone">Multi-species chemistry interface for thermodynamic properties, reaction rates, and transport coefficients</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_body_forces</span></td><tdclass="markdownTableBodyNone">Computes gravitational and body force source terms for the momentum equations</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_acoustic_src</span></td><tdclass="markdownTableBodyNone">One-way acoustic source injection, Maeda and Colonius JCP (2017)</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_pressure_relaxation</span></td><tdclass="markdownTableBodyNone">Pressure relaxation for the six-equation multi-component model via Newton–Raphson equilibration and volume-fraction correction</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_body_forces</span></td><tdclass="markdownTableBodyNone">Computes gravitational and body force source terms for the momentum equations</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_pressure_relaxation</span></td><tdclass="markdownTableBodyNone">Pressure relaxation for the six-equation multi-component model via Newton–Raphson equilibration and volume-fraction correction </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">m_collisions</span></td><tdclass="markdownTableBodyNone">Ghost-node immersed boundary method: locates ghost/image points, computes interpolation coefficients, and corrects the flow state </td></tr>
<li><b>Add the module to <spanclass="tt">docs/module_categories.json</span></b> so it appears in this page</li>
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<p>Follow the pattern of existing modules like <spanclass="tt">m_body_forces</span> (simple) or <spanclass="tt">m_viscous</span> (more involved) as a template.</p>
<tdclass="markdownTableBodyNone">Hypoelasticity </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
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<tdclass="markdownTableBodyNone">Hyperelasticity </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
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<tdclass="markdownTableBodyNone">Phase Change (Relaxation) </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
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<tdclass="markdownTableBodyNone">Viscosity </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
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<tdclass="markdownTableBodyNone">Viscosity </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
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<tdclass="markdownTableBodyNone">Acoustic Sources </td><tdclass="markdownTableBodyNone">— </td><tdclass="markdownTableBodyNone">✓ General use </td></tr>
<p>💡 <b>Tip:</b> If you encounter a validation error, check the relevant section above or review <ahref="https://github.com/MFlowCode/MFC/blob/master/toolchain/mfc/case_validator.py"><spanclass="tt">case_validator.py</span></a> for complete validation logic.</p>
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