Title: An  Arbitrary Lagrangian Eulerian Formulation with Adaptive Mesh 
Refinement for material modeling
Speaker: P. Wang, Lawrence Livermore National Laboratory

Abstract:
An efficient numerical method combining a staggered Arbitrary
Lagrangian 
Eulerian (ALE)
formulation with the adaptive mesh refinement (AMR) method is studied
for
material modeling. Unlike traditional AMR applied
on fixed domains, our investigation focuses on the application to moving
and deforming meshes resulting from Lagrangian motion. Modeling elastic
and plastic flows are studied by the ALE-AMR method.
We give details of the application of this method to solid mechanics 
simulation,
and the interlevel operators and boundary
conditions for these problems have been investigated.
The method has been applied to several test problems,
and the computational efficiency has been significantly improved
and the dynamics of solutions have been obtained on AMR meshes with 
required accuracy.
Finally, we will discuss parallel performance issues and code
scalability
on a large number of processors which are associated with
our current numerical method and software design.

This work was performed under the auspices of the
U.S. Department of Energy by University of California Lawrence
Livermore National Laboratory under Contract W-7405-ENG-48.