Dear all, I am looking for an or more examples of FreeFEM codes for solving the complete time-dependent compressible Navier-Stokes equations. Many thanks. Regards.

I suggest you look around in the Stabfem library.

You can also see some examples in ff-bifbox . These examples can all be time integrated with adaptive remeshing using the tdnscompute.edp routine. These use a simple first-order fully implicit solver, so they are relatively stable but not optimized for efficient time stepping. See examples/fani_etal…

Thank all of you, Aszaboa, François Bouchut and Chris, for the nice and kind information! It is really helpful.

It seems to me that in all the Stabfem and ff-bifbox libraries, the considered equations are always linear (linearized compressible NS around some particular steady flows) thus focusing on wave emission and stability studies.

The tdnscompute.edp routine (time-domain nonlinear simulation) is fully nonlinear. I believe StabFEM has nonlinear timestepping capabilities as well. You are correct though that these tools are not really optimized for time integration.

Hi, Chris. Thanks for your nice suggestions! I see the compressible flow examples in ff-bifbox, which helps me a lot. The case of /fani_etal_2018 is simple and I have also calculated this case within stabfem before. But somewhere in the case of /brokof_etal_2024 seems strange to me. In examples/br…

I’m sorry for the early message, I made a foolish mistake :sweat:. I didn’t notice that the definition of convection term is different in two scripts. The convection term is integrated by parts as well in examples/brokof_etal_2024/eqns_brokof_etal_2024.idp but not in /fani_etal_2018, which I fai…

Hi there, glad to hear you found them helpful! Yes, the integration by parts is a key difference; you are exactly right. The BCs in the brokof_etal_2024 case are based on acoustic characteristics that appear in the boundary integrals for the mass and momentum flux terms. This is detailed in a PROCI …

Compressible Navier-Stokes equations

General Discussion

fb77 (François Bouchut) April 5, 2024, 10:37am 3

An example is Third derivative - #4 by fb77 but it does not handle shocks.

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Compressible Navier-Stokes equations

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