Talk abstract:
Adaptive Mesh Refinement on Logically-Rectangular Grids
for Hyperbolic Systems using AMRCLAW
Randall J. LeVeque, University of Washington
CLAWPACK (Conservation LAW PACKage) is a collection of fortran
subroutines for solving hyperbolic systems of conservation laws
in one and two space dimensions, both with and without source
terms, that are based on high-resolution multi-dimensional wave
propagation methods. Recently this software has been merged
with Marsha Berger's adaptive mesh refinement codes to create
AMRCLAW, which allows adaptive refinement to be applied to a
wide range of hyperbolic systems. The methods are implemented
in a form that allows
- Extensions to hyperbolic problems that are not in conservation
form, such as acoustics in a heterogeneous medium with varying
sound speed.
- The use of ``capacity-form" differencing that allows easy
extension to problems with varying capacity of the medium,
e.g. porosity in groundwater flow or density in a stratified
atmosphere.
- Application on logically-rectangular curvilinear grids.
A     version
of the code in two space dimensions is available, see
http://www.amath.washington.edu/~rjl/amrclaw/
for the code and some sample results. A three-dimensional
version is currently being developed together with Jan Olav
Langseth and Dave McQueen.
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Schedule
1996-1997
Mathematics in High Performance Computing
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