On Thu, 18 Apr 2013, Manav Bhatia wrote:

>     I use a constant time step of 0.05 sec with a backwards Euler
>     implicit time scheme. Of course, the local CFL increases to
>     large numbers as the mesh is refined, since I do not change the
>     time step.
>
>     Do you typically change the time step post refinement? Or use
>     local time stepping?

I don't know how well Ben's and my experiences will carry over to your
code - we're using SUPG rather than GLS, so we ought to be getting a
better conditioned matrix at the cost of more finicky stability.
Don't GLS matrix condition numbers grow like h^-4 instead of h^-2?

But with that in mind: I definitely reduce the time step
post-refinement, and not just by a factor of 2.  Otherwise it gets too
hard for our scheme to handle sudden sharpening of shocks in
hypersonic real gas flows.  Usually our adaptive time stepper ramps up
the time step afterwards pretty aggressively, though, successfully.
Also, problems with no shock or with no sensitive chemistry are more
robust.

I'd be a little surprised if the time step size was the root of your
linear solver convergence problem, but that's such an easy thing to
check that I would definitely give a reduced time step a try.
---
Roy

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