[petsc-users] Fluid-Structure interaction with multiple DMPlex

[Thibault Bridel-Bertomeu]

Le mer. 12 janv. 2022 à 06:52, Jed Brown <jed at jedbrown.org> a écrit :

> Matthew Knepley <knepley at gmail.com> writes:
>
> > Hmm, let's start here because that does not make sense to me. Can you
> write
> > down the mathematical model? Usually I think of temperature as being
> > a continuous field. I have only seen discontinuities for rareified gases.
>
> Well, you can still model it as a discontinuous field with a flux derived
> from a jump condition similar to DG. I think that's a reasonable choice
> when the fluid uses conservative variables and/or a function space that
> does not have boundary nodes (like FV or DG).
>
> But you should check the literature to identify a formulation you're
> comfortable with and then we can advise on how to implement it with DMPlex.
>

OK so I checked with my colleague and it turns out I was wrong about the
interface condition : we want a perfect thermal contact that ensures both
temperature and heat flux continuity.
The PDF attached summarizes the PDEs that we have to solve in the fluid and
the solid, along with the interface boundary condition (the boundary
conditions on other parts of the borders are "classical" boundary
conditions for fluid - inlet, outlet, freestream - and for solid - pure
neumann for instance a.k.a. insulation -).

Thank you for your advice !!

Cheers,

Thibault
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