BSSN Setup is ready and documented

at0m741 · at0m741 · commit d150ff02ae4d · 2025-06-03T16:30:45.000+02:00
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 Functions</h2></td></tr>
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+<p>Generate the conformal 3-metric field \( \tilde{\gamma}_{ij}(x^i) \) on a 3D grid. </p>
+<p>For each spatial grid point \( (x, y, z) \), the spatial metric \( \gamma_{ij} \) is extracted from the given metric, the conformal factor \( \chi \) is computed, and the conformal metric is defined as:  </p><p class="formulaDsp">
+\[
+\tilde{\gamma}_{ij} = \chi \, \gamma_{ij}
+\]
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type (typically <code>double</code>) </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">metric</td><td>A metric object providing <code><a class="el" href="classtensorium__RG_1_1BSSN.html" title="Driver class to initialize and store BSSN variables from an input spacetime metric.">BSSN</a>(X, α, β, γ)</code> and <code>compute_conformal_factor(γ)</code> </td></tr>
+    <tr><td class="paramname">Nx,Ny,Nz</td><td>Grid resolution in x, y, z directions </td></tr>
+    <tr><td class="paramname">dx,dy,dz</td><td>Grid spacings in x, y, z directions </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A 5D tensor with shape \( (N_x, N_y, N_z, 3, 3) \) containing \( \tilde{\gamma}_{ij} \) at each grid point </dd></dl>
+<p>&lt; Coordinates X^μ = (t, x, y, z)</p>
+<p>&lt; Time is fixed at t = 0</p>
+
 <p class="reference">References <a class="el" href="Latex_8hpp.html#ab2b55d236dab36032d2c7314998ad15ea2c1743a391305fbf367df8e4f069f9f9">alpha</a>, <a class="el" href="Latex_8hpp.html#ab2b55d236dab36032d2c7314998ad15ea987bcab01b929eb2c07877b224215c92">beta</a>, <a class="el" href="classtensorium__RG_1_1Metric.html#a941a7ffac963957af3f7b650adbd8b04">tensorium_RG::Metric&lt; T &gt;::BSSN()</a>, <a class="el" href="Latex_8hpp.html#ab2b55d236dab36032d2c7314998ad15ea1e6086b705c7161eeb93a8b249a5ca7c">chi</a>, <a class="el" href="classtensorium__RG_1_1Metric.html#a4c07e5ceadb53d242687c73a039b7c48">tensorium_RG::Metric&lt; T &gt;::compute_conformal_factor()</a>, <a class="el" href="classtensorium__RG_1_1Metric.html#a0e0baebd20831f8e546f3c7a4beaa887">tensorium_RG::Metric&lt; T &gt;::compute_conformal_metric()</a>, <a class="el" href="Latex_8hpp.html#ab2b55d236dab36032d2c7314998ad15ea05b048d7242cb7b8b57cfa3b1d65ecea">gamma</a>, and <a class="el" href="TensoriumDispatchPlugin_8cpp.html#aaf4ed39d5feb1b385de1cd66358ce087">X()</a>.</p>
 <div class="dynheader">
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diff --git a/includes/Tensorium/DiffGeometry/BSSN/BSSNMetricUtils.hpp b/includes/Tensorium/DiffGeometry/BSSN/BSSNMetricUtils.hpp

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