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‎documentation/architecture.html‎

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<li><b>Add the module to <span class="tt">docs/module_categories.json</span></b> so it appears in this page</li>
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</ol>
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<p>Follow the pattern of existing modules like <span class="tt">m_body_forces</span> (simple) or <span class="tt">m_viscous</span> (more involved) as a template.</p>
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<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-09-10</div> </div></div><!-- contents -->
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<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-09-11</div> </div></div><!-- contents -->
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‎documentation/case.html‎

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‎documentation/case_constraints.html‎

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<p>💡 <b>Tip:</b> If you encounter a validation error, check the relevant section above or review <a href="https://github.com/MFlowCode/MFC/blob/master/toolchain/mfc/case_validator.py"><span class="tt">case_validator.py</span></a> for complete validation logic.</p>
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<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-09-10</div> </div></div><!-- contents -->
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<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-09-11</div> </div></div><!-- contents -->
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‎documentation/citelist.html‎

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<dd><p class="startdd">K.&#160;Schmidmayer, S.&#160;H. Bryngelson, and T.&#160;Colonius. An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics. <em>Journal of Computational Physics</em>, 402:109080, 2020. </p>
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<dt><a class="anchor" id="CITEREF_stokes1851"></a>[48]</dt>
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<dd><p class="startdd">J.-S.&#160;A. Spratt. <em>Numerical simulations of cavitating bubbles in elastic and viscoelastic materials for biomedical applications</em>. PhD thesis, California Institute of Technology, 2024. </p>
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<dt><a class="anchor" id="CITEREF_stokes1851"></a>[49]</dt>
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<dd><p class="startdd">G.&#160;G. Stokes. On the effect of the internal friction of fluids on the motion of pendulums. <em>Transactions of the Cambridge Philosophical Society</em>, 9:8&ndash;106, 1851.</p>
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<dd><p class="startdd">G.&#160;Strang. On the construction and comparison of difference schemes. <em>SIAM Journal on Numerical Analysis</em>, 5(3):506&ndash;517, 1968. </p>
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<dd><p class="startdd">A.&#160;Suresh and H.&#160;Huynh. Accurate monotonicity-preserving schemes with Runge&ndash;Kutta time stepping. <em>Journal of Computational Physics</em>, 136(1):83&ndash;99, 1997. </p>
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</dd>
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<dd><p class="startdd">C.&#160;K. Tam, H.&#160;Ju, M.&#160;G. Jones, W.&#160;R. Watson, and T.&#160;L. Parrott. A computational and experimental study of slit resonators. <em>Journal of Sound and Vibration</em>, 284(3&ndash;5):947&ndash;984, 2005. </p>
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<dd><p class="startdd">K.&#160;W. Thompson. Time dependent boundary conditions for hyperbolic systems. <em>Journal of Computational Physics</em>, 68(1):1&ndash;24, 1987. </p>
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</dd>
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<dd><p class="startdd">K.&#160;W. Thompson. Time-dependent boundary conditions for hyperbolic systems, II. <em>Journal of Computational Physics</em>, 89(2):439&ndash;461, 1990. </p>
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</dd>
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<dd><p class="startdd">B.&#160;Thornber, A.&#160;Mosedale, D.&#160;Drikakis, D.&#160;Youngs, and R.&#160;J.&#160;R. Williams. An improved reconstruction method for compressible flows with low Mach number features. <em>Journal of Computational Physics</em>, 227(10):4873&ndash;4894, 2008. </p>
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<dd><p class="startdd">E.&#160;F. Toro, M.&#160;Spruce, and W.&#160;Speares. Restoration of the contact surface in the HLL-Riemann solver. <em>Shock Waves</em>, 4:25&ndash;34, 1994. </p>
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<dd><p class="startdd">E.&#160;F. Toro. <em>Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction</em>. Springer, 3rd edition, 2009. </p>
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</dd>
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<dd><p class="startdd">Y.&#160;H. Tseng and J.&#160;H. Ferziger. A ghost-cell immersed boundary method for flow in complex geometry. <em>Journal of Computational Physics</em>, 192(2):593&ndash;623, 2003. </p>
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<dd><p class="startdd">B.&#160;Wilfong, A.&#160;Radhakrishnan, H.&#160;Le Berre, D.&#160;J. Vickers, T.&#160;Prathi, N.&#160;Tselepidis, B.&#160;Dorschner, R.&#160;Budiardja, B.&#160;Cornille, S.&#160;Abbott, F.&#160;Sch&auml;fer, and S.&#160;H. Bryngelson. Simulating many-engine spacecraft: Exceeding 1 quadrillion degrees of freedom via information geometric regularization. In <em>SC&rsquo;25: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis</em>, pages 14&ndash;24, 2025. *Equal contribution. </p>
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</dd>
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<dd><p class="startdd">B.&#160;Wilfong, H.&#160;Le Berre, A.&#160;Radhakrishnan, A.&#160;Gupta, D.&#160;J. Vickers, D.&#160;Vaca-Revelo, D.&#160;Adam, H.&#160;Yu, H.&#160;Lee, J.&#160;R. Chreim, M.&#160;Carcana Barbosa, Y.&#160;Zhang, E.&#160;Cisneros-Garibay, A.&#160;Gnanaskandan, M.&#160;Rodriguez Jr., R.&#160;D. Budiardja, S.&#160;Abbott, T.&#160;Colonius, and S.&#160;H. Bryngelson. MFC 5.0: An exascale many-physics flow solver. <em>Computer Physics Communications</em>, 322:110055, 2026. </p>
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</dd>
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<dd><p class="startdd">A.&#160;Zein, M.&#160;Hantke, and G.&#160;Warnecke. Modeling phase transition for compressible two-phase flows applied to metastable liquids. <em>Journal of Computational Physics</em>, 229(8):2964&ndash;2998, 2010. </p>
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‎documentation/cli-reference.html‎

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Debug Logging (<span class="tt">-d, --debug-log</span>)</h3>
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<p>Enables debug logging for the Python toolchain (mfc.sh internals). This is for troubleshooting the build system, not the MFC simulation code.</p>
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<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-09-10</div> </div></div><!-- contents -->
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