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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