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<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>
<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>
6.1.1 Method of Classes (Commander and Prosperetti <aclass="el" href="citelist.html#CITEREF_commander89">[13]</a>; Ando et al. <aclass="el" href="citelist.html#CITEREF_ando11">[2]</a>)</h4>
<tdclass="markdownTableBodyNone"><spanclass="tt">relativity</span></td><tdclass="markdownTableBodyNone">Logical (T/F) </td><tdclass="markdownTableBodyNone">Enable special relativity </td><tdclass="markdownTableBodyNone"></td><tdclass="markdownTableBodyNone"><spanclass="tt">relativity</span> requires <spanclass="tt">mhd</span> to be enabled; HLLD is not available for RMHD (<spanclass="tt">relativity</span>) </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">relax</span></td><tdclass="markdownTableBodyNone">Logical (T/F) </td><tdclass="markdownTableBodyNone">Enable relaxation terms </td><tdclass="markdownTableBodyNone"></td><tdclass="markdownTableBodyNone">phase change requires <spanclass="tt">model_eqns</span>==2 with <spanclass="tt">relax_model</span> in [5,6] or <spanclass="tt">model_eqns</span>==3 with <spanclass="tt">relax_model</span> in [1,4,5,6]; <spanclass="tt">palpha_eps</span> must be positive; <spanclass="tt">palpha_eps</span> must be less than 1</td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">relax</span></td><tdclass="markdownTableBodyNone">Logical (T/F) </td><tdclass="markdownTableBodyNone">Enable relaxation terms </td><tdclass="markdownTableBodyNone"></td><tdclass="markdownTableBodyNone">phase change requires <spanclass="tt">num_fluids</span> >= 2 (liquid = 1, vapor = 2); phase change requires <spanclass="tt">model_eqns</span>==2 with <spanclass="tt">relax_model</span> in [5,6] or <spanclass="tt">model_eqns</span>==3 with <spanclass="tt">relax_model</span> in [1,4,5,6]; <spanclass="tt">palpha_eps</span> must be positive </td></tr>
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<tdclass="markdownTableBodyNone"><spanclass="tt">relax_model</span></td><tdclass="markdownTableBodyNone">Integer </td><tdclass="markdownTableBodyNone">Relaxation model type </td><tdclass="markdownTableBodyNone"></td><tdclass="markdownTableBodyNone">phase change requires <spanclass="tt">model_eqns</span>==2 with <spanclass="tt">relax_model</span> in [5,6] or <spanclass="tt">model_eqns</span>==3 with <spanclass="tt">relax_model</span> in [1,4,5,6] </td></tr>
<li>phase change requires <spanclass="tt">model_eqns</span>==2 with <spanclass="tt">relax_model</span> in [5,6] or <spanclass="tt">model_eqns</span>==3 with <spanclass="tt">relax_model</span> in [1,4,5,6]</li>
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<li><spanclass="tt">palpha_eps</span> must be positive</li>
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<li><spanclass="tt">palpha_eps</span> must be less than 1</li>
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<trclass="memdesc:a95ca95b3f22f62885bf1dd09eda53f3a"><tdclass="mdescLeft"> </td><tdclass="mdescRight">Compute the right-hand side for Euler-Euler bubble transport. <br/></td></tr>
<trclass="memdesc:a0a2216eea31da1917887f93bbdcdc5e3"><tdclass="mdescLeft"> </td><tdclass="mdescRight">Evaluate the Euler-Euler pressure correction at cell centers and store it in ptil. This mirrors the modified mixture pressure that the HLLC solver applies to the reconstructed face states in m_riemann_solver_hllc.fpp, following Ando (2010), Eq. (2.5). It is a diagnostic: ptil is read only by the probe output path and never feeds back into the solution. <br/></td></tr>
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