[petsc-users] Is fieldsplit suitable for compressible Navier-Stokes?

[Song Gao]

Thanks, we are solving supersonic flows.

2015-07-07 12:31 GMT-04:00 Jed Brown <jed at jedbrown.org>:

> Song Gao <song.gao2 at mail.mcgill.ca> writes:
>
> > Dear PETSc users,
> >
> > We are solving a FEM compressible Navier-Stokes problem. The unknowns are
> > arranged as [ rho1, rho1*u1, rho1*v1, rho1*w1, e1, .....  ]. We are using
> > ASM+ILU(0) but  I'm playing with fieldsplit preconditioner to assess its
> > advantages. After some search, I found most of the fieldsplit examples
> are
> > for Stockes flows or incompressible Navier-Stokes. Is there any
> > compressible Navier-Stokes example?
>
> There is not an example.  For low-Mach compressible, it's common to use
> a preconditioner that involves a change to primitive variables and
> approximate Schur complement in the pressure space.  For transonic or
> supersonic flows, the equations are rather strongly coupled and
> fieldsplit tends to be ineffective.  For such problems, it's common to
> use ASM or geometric multigrid with point-block smoothers.
>
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