Bruno,

I am currently trying to work on a "HPC-ready with Trilinos" version of
> step-57 for steady-state solution of the Navier-Stokes equation since I am
> curious about compairing it to our stabilized solver. I think that it
> could give much better results for steady-state.
> The approach detailed in step-57  uses Block matrices instead of regular
> matrices since it preconditions the pressure block differently than the
> momentum block.
> From my understanding, this requires eventually the solution of a
> BlockSparseMatrix. However, looking at the documentation for
> TrilinosWrappers::SolverBase, I see that there are no call to solve that
> can take as an argument a BlockSparseMatrix, they all take a regular
> matrix. Consequently, I am not sure how I should proceed. Is this something
> that is lacking in current implementation or there is a work around that I
> am unaware of?
>
> What I am trying to do initially is to port step-57 (
> https://www.dealii.org/current/doxygen/deal.II/step_57.html) to use
> Trilinos for the linear algebra. Consequently, what would be changing from
> step-57 is mostly related to changes in the BlockSchurPreconditioner class
> of step-57. Hope that is clear :).
>

You can just use the deal.II solvers instead. Have a look, e.g., at step-32.

Best,
Daniel

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