@@ -433,7 +433,7 @@ <h1 class="doxsection"><a class="anchor" id="autotoc_md13"></a>
 <li><b>Add the module to <span class="tt">docs/module_categories.json</span></b> so it appears in this page</li>
 </ol>
 <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>
-<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
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@@ -1616,7 +1616,7 @@ <h2 class="doxsection"><a class="anchor" id="physics-warnings"></a>
 </table>
 <hr  />
 <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>
-<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
+<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-08</div> </div></div><!-- contents -->
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@@ -993,7 +993,7 @@ <h3 class="doxsection"><a class="anchor" id="autotoc_md80"></a>
 <h3 class="doxsection"><a class="anchor" id="autotoc_md81"></a>
 Debug Logging (<span class="tt">-d, --debug-log</span>)</h3>
 <p>Enables debug logging for the Python toolchain (mfc.sh internals). This is for troubleshooting the build system, not the MFC simulation code.</p>
-<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
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@@ -974,7 +974,7 @@ <h3 class="doxsection"><a class="anchor" id="autotoc_md350"></a>
 <h3 class="doxsection"><a class="anchor" id="autotoc_md351"></a>
 Density Norms</h3>
 <p><img src="density_norms-2D_isentropicvortex-example.png" alt="" height="400" class="inline"/></p>
-<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
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@@ -1860,7 +1860,7 @@ <h2 class="doxsection"><a class="anchor" id="autotoc_md490"></a>
 <div class="line"> </div>
 <div class="line"># Filter by type</div>
 <div class="line">./mfc.sh params -t real weno</div>
-</div><!-- fragment --><div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
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@@ -819,7 +819,7 @@ <h3 class="doxsection"><a class="anchor" id="autotoc_md553"></a>
 <li><code class="f90l">patch_icpp(i)%</code><code class="f90r">hcid</code>=hcid requires <span class="tt">files_dir</span> to be set</li>
 <li><code class="f90l">patch_icpp(i)%</code><code class="f90r">hcid</code>=hcid requires <span class="tt">file_extension</span> to be set</li>
 </ul>
-<div style="text-align:center; font-size:0.75rem; color:#888; padding:16px 0 0;">Page last updated: 2026-10-07</div> </div></div><!-- contents -->
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@@ -521,28 +521,32 @@
 <div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(n_glb+1,n+1) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires n_glb to be divisible by num_procs_y&quot;</span>)</div>
 <div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span><span class="preprocessor"># 31 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
 <div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
-<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#a1072f221ca8e41b0ea3240b33374cc1e">p_glb</a>+1,p+1) /= 0) <span class="keywordflow">then</span></div>
-<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span><span class="preprocessor"># 32 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(p_glb+1,p+1) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires p_glb to be divisible by num_procs_z&quot;</span>)</div>
-<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span><span class="preprocessor"># 32 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
-<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>        num_procs_y = (<a class="code hl_variable" href="namespacem__global__parameters.html#adab11dab474410541d4c37725bea01e1">n_glb</a> + 1)/(n + 1)</div>
-<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span>        num_procs_z = (<a class="code hl_variable" href="namespacem__global__parameters.html#a1072f221ca8e41b0ea3240b33374cc1e">p_glb</a> + 1)/(p + 1)</div>
-<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#ad4e160df8d0de7ea1801a1ca29f8e9b0">m_glb</a>+1,num_procs_y) /= 0) <span class="keywordflow">then</span></div>
-<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span><span class="preprocessor"># 35 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(m_glb+1,num_procs_y) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires m_glb to be divisible by num_procs_y&quot;</span>)</div>
+<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span><span class="preprocessor"># 32 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span><span class="preprocessor"></span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#a1072f221ca8e41b0ea3240b33374cc1e">p_glb</a>+1,p+1) /= 0) <span class="keywordflow">then</span></div>
+<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span><span class="preprocessor"># 32 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(p_glb+1,p+1) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires p_glb to be divisible by num_procs_z&quot;</span>)</div>
+<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span><span class="preprocessor"># 32 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
+<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span><span class="preprocessor"># 33 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span><span class="preprocessor"></span>        num_procs_y = (<a class="code hl_variable" href="namespacem__global__parameters.html#adab11dab474410541d4c37725bea01e1">n_glb</a> + 1)/(n + 1)</div>
+<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>        num_procs_z = (<a class="code hl_variable" href="namespacem__global__parameters.html#a1072f221ca8e41b0ea3240b33374cc1e">p_glb</a> + 1)/(p + 1)</div>
+<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#ad4e160df8d0de7ea1801a1ca29f8e9b0">m_glb</a>+1,num_procs_y) /= 0) <span class="keywordflow">then</span></div>
 <div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span><span class="preprocessor"># 35 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
-<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#adab11dab474410541d4c37725bea01e1">n_glb</a>+1,num_procs_z) /= 0) <span class="keywordflow">then</span></div>
-<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span><span class="preprocessor"># 36 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(n_glb+1,num_procs_z) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires n_glb to be divisible by num_procs_z&quot;</span>)</div>
-<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span><span class="preprocessor"># 36 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
-<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
-<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span> </div>
+<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(m_glb+1,num_procs_y) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires m_glb to be divisible by num_procs_y&quot;</span>)</div>
+<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span><span class="preprocessor"># 35 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
+<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span><span class="preprocessor"># 36 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span><span class="preprocessor"></span>    <span class="keywordflow">if</span> (fft_wrt .and. mod(<a class="code hl_variable" href="namespacem__global__parameters.html#adab11dab474410541d4c37725bea01e1">n_glb</a>+1,num_procs_z) /= 0) <span class="keywordflow">then</span></div>
+<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span><span class="preprocessor"># 36 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span><span class="preprocessor"></span>        <span class="keyword">call </span>s_prohibit_abort(.and.<span class="stringliteral">&quot;fft_wrt  MOD(n_glb+1,num_procs_z) /= 0&quot;</span>, <span class="stringliteral">&quot;FFT WRT requires n_glb to be divisible by num_procs_z&quot;</span>)</div>
+<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span><span class="preprocessor"># 36 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span><span class="preprocessor"></span><span class="keywordflow">    end if</span></div>
+<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span><span class="preprocessor"># 37 &quot;/home/runner/work/MFC/MFC/src/post_process/m_checker.fpp&quot;</span></div>
+<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span><span class="preprocessor"></span> </div>
 </div>
-<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>    <span class="keyword">end subroutine </span><a class="code hl_function" href="namespacem__checker.html#a584c7102ac72172ee7ed4c46993f7808">s_check_inputs_fft</a></div>
-<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span> </div>
-<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span><span class="keyword">end module </span><a class="code hl_namespace" href="namespacem__checker.html">m_checker</a></div>
+<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>    <span class="keyword">end subroutine </span><a class="code hl_function" href="namespacem__checker.html#a584c7102ac72172ee7ed4c46993f7808">s_check_inputs_fft</a></div>
+<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span> </div>
+<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span><span class="keyword">end module </span><a class="code hl_namespace" href="namespacem__checker.html">m_checker</a></div>
 <div class="ttc" id="anamespacem__checker_html"><div class="ttname"><a href="namespacem__checker.html">m_checker</a></div><div class="ttdoc">Validates post-process input parameters and output format consistency.</div><div class="ttdef"><b>Definition</b> <a href="#l00356">m_checker.fpp.f90:356</a></div></div>
 <div class="ttc" id="anamespacem__checker_html_a214e05cb46bc7c3e0dbe55fdc433c072"><div class="ttname"><a href="namespacem__checker.html#a214e05cb46bc7c3e0dbe55fdc433c072">m_checker::s_check_inputs</a></div><div class="ttdeci">impure subroutine, public s_check_inputs</div><div class="ttdoc">Checks compatibility of parameters in the input file. Used by the post_process stage.</div><div class="ttdef"><b>Definition</b> <a href="#l00370">m_checker.fpp.f90:371</a></div></div>
 <div class="ttc" id="anamespacem__checker_html_a584c7102ac72172ee7ed4c46993f7808"><div class="ttname"><a href="namespacem__checker.html#a584c7102ac72172ee7ed4c46993f7808">m_checker::s_check_inputs_fft</a></div><div class="ttdeci">impure subroutine, public s_check_inputs_fft</div><div class="ttdoc">Checks constraints on fft_wrt.</div><div class="ttdef"><b>Definition</b> <a href="#l00375">m_checker.fpp.f90:376</a></div></div>