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<div dir="auto">I was thinking about trying to implement Ben Kirk's approach to Navier-Stokes (see attached paper; Section 5). His approach uses these quantities to align the orientation of the unstructured element/cell with the fluid velocity to apply the
stabilization/upwinding and to detect shocks.
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<div dir="auto">If you have an example of the approach you mentioned, could you please send it over so I can review it?</div>
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<div class="gmail_quote">On Oct 11, 2023 6:02 AM, Matthew Knepley <knepley@gmail.com> wrote:<br type="attribution">
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<div dir="ltr">On Tue, Oct 10, 2023 at 9:34 PM Brandon Denton via petsc-users <<a href="mailto:petsc-users@mcs.anl.gov">petsc-users@mcs.anl.gov</a>> wrote:<br>
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Good Evening,</div>
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I am looking to implement a form of Navier-Stokes with SUPG Stabilization and shock capturing using PETSc's FEM infrastructure. In this implementation, I need access to the cell's shape function gradients and natural coordinate gradients for calculations within
the point-wise residual calculations. How do I get these quantities at the quadrature points? The signatures for fo and f1 don't seem to contain this information.</div>
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<div>Are you sure you need those? Darsh and I implemented SUPG without that. You would need local second derivative information, which you can get using -dm_ds_jet_degree 2. If you check in an example, I can go over it.</div>
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<div> Thanks,</div>
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<div> Matt</div>
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Thank you in advance for your time.</div>
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Brandon</div>
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<span class="gmail_signature_prefix">-- </span><br>
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<div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>
-- Norbert Wiener</div>
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<div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br>
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