On 10/5/22 07:30, Matthew Rich wrote:
I am trying to understand the process so I could potentially extend this
formulation for biphasic materials. The way it handles incompressibility is
perfect for high water content tissues. My concern revolves around adding
another phase and explicitly solving for the fluid displacements in the
system. I was going to follow a similar strategy, but I am worried that this
approach is very specific.
IMHO the key feature for this approach is the ability to condense out the
pressure and volumetric ratio variables and recover the displacement only
formulation but with anti-locking properties baked in as opposed to starting
with a pure displacement formulation. I would like to preserve that if
possible. I am just worried I will wind up in a hole I cannot climb out of...
These comments were very helpful. One quick question if you just
proceed without the condensation would that still work? In one of the
tutorials, If I abandoned the notion of using the CG solver and used something
like GMRES can I avoid some of the manipulation after I have the linearized
system?
Thanks for the prompt response and thoughtful answers! This stuff is hard and
fascinating at the same time.
Matthew -- a common problem when writing tutorials is that it's hard to
anticipate what will be clear to readers and what will not. If you think that
there are things you learned from Jean-Paul's email that you wished had been
part of the text surrounding step-44, would you be interested in extending the
documentation of that program?
Best
Wolfgang
--
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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