[BANANA] LA/Opt seminar Wed April 23 (Tamar Shinar)

[Michael A. Saunders]

   Linear Algebra and Optimization Seminar (CME510)
   iCME, Stanford University
   http://icme.stanford.edu/seminars/seminars.php

   4:15pm Wed April 23, 2008
   Room GESB 134 (Green Earth Sciences Building)

   Tamar Shinar
   iCME, Stanford University
   physbam.stanford.edu/~shinar/

Two-way Coupling of Fluids to Rigid and Deformable Solids and Shells

The talk will focus on a novel solid/fluid coupling method that treats the
coupled system in a fully implicit manner making it stable for arbitrary
time steps, large density ratios, etc.  We show that our method exactly
conserves momentum of the coupled system.  Notably, our method uses the
standard Cartesian fluid discretization and does not require (moving)
conforming tetrahedral meshes or ALE frameworks.  Furthermore, we use a
standard Lagrangian framework for the solid, thus supporting arbitrary solid
constitutive models, both implicit and explicit time integration, etc.  The
method is quite general, working for smoke, water, and multiphase fluids as
well as both rigid and deformable solids, and both volumes and thin shells.
Unlike previous methods, rigid shells and cloth are handled automatically
with no special treatment, and we support fully one-sided discretizations
without leaking.  Our equations are fully symmetric, which is a natural
result of properly conserving momentum.  The solution of the resulting
symmetric indefinite system will also be discussed.