As Jed says hyperbolic dominated systems are hard. For geometric papers you can look at Jameson papers and Adams, Samtaney & Brandt (MHD).
But be prepared to work. Good stuff but hard. On Fri, Sep 28, 2018 at 12:42 PM Jed Brown <[email protected]> wrote: > Michael Werner <[email protected]> writes: > > > A low-Mach preconditioner might help with the current test cases, > > however I also intend to apply this code to high-Mach number > > flows, so I need to find a more general solution. Actually, the > > high-Mach number applications are more important, since so far all > > the low-Mach cases are small enough to be solved with direct > > solvers. > > > > I was also thinking about using a geometric multigrid approach via > > DMPlex. As far as I understood, hyperbolic problems are difficult > > to solve with AMG because the solver isn't aware of the underlying > > structure of the problem. Therefore I would think that a geometric > > multigrid approach should produce better results, right? Do you > > think it would be worthwile to implement a DMPlex, or would I > > still run into the same problems? > > Agglomeration-based geometric multigrid with block relaxation is a > common technique for unstructured compressible CFD, but there are a lot > of subtleties. See FUN3D papers (Diskin, Thomas, sometimes Brandt) for > examples of this approach. >
