[petsc-users] FEM Implementation of NS with SUPG Stabilization

[Brandon Denton]

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.

If you have an example of the approach you mentioned, could you please send it over so I can review it?

On Oct 11, 2023 6:02 AM, Matthew Knepley <knepley at gmail.com> wrote:
On Tue, Oct 10, 2023 at 9:34 PM Brandon Denton via petsc-users <petsc-users at mcs.anl.gov<mailto:petsc-users at mcs.anl.gov>> wrote:
Good Evening,

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.

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.

  Thanks,

     Matt

Thank you in advance for your time.
Brandon


--
What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.
-- Norbert Wiener

https://www.cse.buffalo.edu/~knepley/<http://www.cse.buffalo.edu/~knepley/>
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