On Wed, 9 Sep 2009, Vasilis Vavourakis wrote:

> not sure whether this topic is already discussed in this list...
> has anyone utilized LibMesh in multi-region problems (i.e. fluid-solid
> interaction, different material solid-solid etc)???

Different material solid-solid is relatively easy; you've got the same
variables, even the same equations, just with different constitutive
properties.  As long as the boundary between regions is a subset of
the boundaries between elements, the finite element method handles
that pretty naturally.

For fluid-solid interaction, there are a couple more complex issues:

To solve them fully coupled, you need to define a System with
different variables in different subdomains.  This support is fairly
new, only in the libMesh svn head, and AFAIK has only been tested on a
benchmark problem or two.

To handle large deformations, you'll probably want an ALE method.
There's some support in the svn head for building ALE residuals
automatically with FEMSystem, but it's as experimental as can be, and
as yet there's no support for automatically building a correct
analytic Jacobian for these cases; I'd currently recommend handling
the whole formulation yourself instead.
---
Roy

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