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‎documentation/md_examples.html

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<h1><a class="anchor" id="autotoc_md37"></a>
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Isentropic vortex problem (2D)</h1>
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<p>Reference: Coralic, V., &amp; Colonius, T. (2014). Finite-volume Weno scheme for viscous compressible multicomponent flows. Journal of Computational Physics, 274, 95–121. <a href="https://doi.org/10.1016/j.jcp.2014.06.003">https://doi.org/10.1016/j.jcp.2014.06.003</a></p>
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<h2><a class="anchor" id="autotoc_md38"></a>
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Density</h2>
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<div class="image">
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<img src="alpha_rho1-2D_isentropicvortex-example.png" alt=""/>
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<div class="caption">
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Density</div></div>
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<h2><a class="anchor" id="autotoc_md39"></a>
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Density Norms</h2>
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<div class="image">
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<img src="density_norms-2D_isentropicvortex-example.png" alt=""/>
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<div class="caption">
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Density Norms</div></div>
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<h1><a class="anchor" id="autotoc_md40"></a>
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Shu-Osher problem (1D)</h1>
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<p>Reference: C. W. Shu, S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, Journal of Computational Physics 77 (2) (1988) 439–471. doi:10.1016/0021-9991(88)90177-5.</p>
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<h2><a class="anchor" id="autotoc_md38"></a>
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<h2><a class="anchor" id="autotoc_md41"></a>
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Initial Condition</h2>
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<img src="initial-1D_shuosher-example.png" alt=""/>
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Initial Condition</div></div>
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<h2><a class="anchor" id="autotoc_md39"></a>
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<h2><a class="anchor" id="autotoc_md42"></a>
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Result</h2>
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Result</div></div>
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<h1><a class="anchor" id="autotoc_md40"></a>
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3D Weak Scaling</h1>
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<p>The <a href="case.py"><b>3D_weak_scaling</b></a> case depends on two parameters:</p>
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<ul>
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<li><b>The number of MPI ranks</b> (<em>procs</em>): As <em>procs</em> increases, the problem size per rank remains constant. <em>procs</em> is determined using information provided to the case file by <code>mfc.sh run</code>.</li>
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<li><b>GPU memory usage per rank</b> (<em>gbpp</em>): As <em>gbpp</em> increases, the problem size per rank increases and the number of timesteps decreases so that wall times consistent. <em>gbpp</em> is a user-defined optional argument to the <a href="case.py">case.py</a> file. It can be specified right after the case filepath when invoking <code>mfc.sh run</code>.</li>
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</ul>
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<p>Weak scaling benchmarks can be produced by keeping <em>gbpp</em> constant and varying <em>procs</em>.</p>
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<p>For example, to run a weak scaling test that uses ~4GB of GPU memory per rank on 8 2-rank nodes with case optimization, one could:</p>
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<div class="fragment"><div class="line">./mfc.sh run examples/3D_weak_scaling/case.py 4 -t pre_process simulation \</div>
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<div class="line"> -e batch -p mypartition -N 8 -n 2 -w &quot;01:00:00&quot; -# &quot;MFC Weak Scaling&quot; \</div>
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<div class="line"> --case-optimization -j 32</div>
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</div><!-- fragment --><h1><a class="anchor" id="autotoc_md41"></a>
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Lax shock tube problem (1D)</h1>
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<p>Reference: P. D. Lax, Weak solutions of nonlinear hyperbolic equations and their numerical computation, Communications on pure and applied mathematics 7 (1) (1954) 159–193.</p>
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<h2><a class="anchor" id="autotoc_md42"></a>
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<h1><a class="anchor" id="autotoc_md43"></a>
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Titarev-Toro problem (1D)</h1>
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<p>Reference: V. A. Titarev, E. F. Toro, Finite-volume WENO schemes for three-dimensional conservation laws, Journal of Computational Physics 201 (1) (2004) 238–260.</p>
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Initial Condition</h2>
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<div class="image">
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<img src="initial-1D_laxshocktube-example.png" alt=""/>
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Initial Condition</div></div>
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Result</h2>
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<div class="image">
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<h1><a class="anchor" id="autotoc_md44"></a>
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2D Hardcodied IC Example</h1>
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<h2><a class="anchor" id="autotoc_md45"></a>
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<h1><a class="anchor" id="autotoc_md46"></a>
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Shock Droplet (2D)</h1>
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<p>Reference: Panchal et. al., A Seven-Equation Diffused Interface Method for Resolved Multiphase Flows, JCP, 475 (2023)</p>
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<h2><a class="anchor" id="autotoc_md47"></a>
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Initial Condition</h2>
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Initial Condition</div></div>
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Result</h2>
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<p><img src="result-2D_hardcodied_ic-example.png" alt="" class="inline" title="Result"/> </p>
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<h1><a class="anchor" id="autotoc_md47"></a>
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Isentropic vortex problem (2D)</h1>
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<p>Reference: Coralic, V., &amp; Colonius, T. (2014). Finite-volume Weno scheme for viscous compressible multicomponent flows. Journal of Computational Physics, 274, 95–121. <a href="https://doi.org/10.1016/j.jcp.2014.06.003">https://doi.org/10.1016/j.jcp.2014.06.003</a></p>
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<h2><a class="anchor" id="autotoc_md48"></a>
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Density</h2>
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<div class="image">
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<img src="alpha_rho1-2D_isentropicvortex-example.png" alt=""/>
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Density</div></div>
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<h2><a class="anchor" id="autotoc_md49"></a>
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Density Norms</h2>
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<div class="image">
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<img src="density_norms-2D_isentropicvortex-example.png" alt=""/>
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<div class="caption">
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Density Norms</div></div>
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<h1><a class="anchor" id="autotoc_md50"></a>
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Titarev-Toro problem (1D)</h1>
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<p>Reference: V. A. Titarev, E. F. Toro, Finite-volume WENO schemes for three-dimensional conservation laws, Journal of Computational Physics 201 (1) (2004) 238–260.</p>
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<p><img src="result-2D_shockdroplet-example.png" alt="" class="inline" title="Result"/> </p>
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<h1><a class="anchor" id="autotoc_md49"></a>
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3D Weak Scaling</h1>
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<p>The <a href="case.py"><b>3D_weak_scaling</b></a> case depends on two parameters:</p>
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<ul>
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<li><b>The number of MPI ranks</b> (<em>procs</em>): As <em>procs</em> increases, the problem size per rank remains constant. <em>procs</em> is determined using information provided to the case file by <code>mfc.sh run</code>.</li>
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<li><b>GPU memory usage per rank</b> (<em>gbpp</em>): As <em>gbpp</em> increases, the problem size per rank increases and the number of timesteps decreases so that wall times consistent. <em>gbpp</em> is a user-defined optional argument to the <a href="case.py">case.py</a> file. It can be specified right after the case filepath when invoking <code>mfc.sh run</code>.</li>
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</ul>
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<p>Weak scaling benchmarks can be produced by keeping <em>gbpp</em> constant and varying <em>procs</em>.</p>
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<p>For example, to run a weak scaling test that uses ~4GB of GPU memory per rank on 8 2-rank nodes with case optimization, one could:</p>
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<div class="fragment"><div class="line">./mfc.sh run examples/3D_weak_scaling/case.py 4 -t pre_process simulation \</div>
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<div class="line"> -e batch -p mypartition -N 8 -n 2 -w &quot;01:00:00&quot; -# &quot;MFC Weak Scaling&quot; \</div>
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<div class="line"> --case-optimization -j 32</div>
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</div><!-- fragment --><h1><a class="anchor" id="autotoc_md50"></a>
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Lax shock tube problem (1D)</h1>
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<p>Reference: P. D. Lax, Weak solutions of nonlinear hyperbolic equations and their numerical computation, Communications on pure and applied mathematics 7 (1) (1954) 159–193.</p>
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Initial Condition</h2>
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<div class="image">
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Initial Condition</div></div>
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Result</h2>
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Density Norms</div></div>
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Shock Droplet (2D)</h1>
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<p>Reference: Panchal et. al., A Seven-Equation Diffused Interface Method for Resolved Multiphase Flows, JCP, 475 (2023)</p>
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2D Hardcodied IC Example</h1>
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Initial Condition</h2>
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Result</h2>
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['nvidia_20nsight_2',['Profiling with NVIDIA Nsight',['../md_running.html#autotoc_md83',1,'']]],
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‎documentation/search/all_15.js

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['output_7',['Output',['../md_case.html#autotoc_md13',1,'6. Formatted Output'],['../md_visualization.html#autotoc_md91',1,'Serial data output']]]

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