Preprint 1997-033
Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic
Systems
Marsha J. Berger and Randall J. LeVeque
Abstract:
An adaptive mesh refinement algorithm developed for the Euler equations
of gas dynamics has been extended to employ high-resolution
wave-propagation algorithms in a more general framework. This allows
its use on a variety of new problems, including hyperbolic equations
not in conservation form, problems with source terms or capacity
functions, and logically-rectangular curvilinear grids. This framework
requires a modified approach to maintaining consistency and
conservation at grid interfaces, which is described in detail. The
algorithm is implemented in the AMRCLAW package, which is freely
available.
- Paper:
- Available as PostScript (1.9 Mbytes) or as
gzipped PostScript (392 Kbytes; uncompress
using gunzip).
- Title:
- Adaptive mesh refinement using wave-propagation algorithms for
hyperbolic systems
- Author(s):
- Marsha
J. Berger,
<berger@cims.nyu.edu>
- Randall J. LeVeque,
<rjl@amath.washington.edu>
- Publishing information:
- SIAM J. Numer. Anal. 35(1998) 2298-2316
- Comments:
-
- Submitted by:
-
<rjl@amath.washington.edu>
November 28 1997.
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