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.

Available as PostScript (1.9 Mbytes) or as gzipped PostScript (392 Kbytes; uncompress using gunzip).
Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems
Marsha J. Berger, <>
Randall J. LeVeque, <>
Publishing information:
SIAM J. Numer. Anal. 35(1998) 2298-2316
Submitted by:
<> November 28 1997.

[ 1996 Preprints | 1997 Preprints | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Tue Jan 23 08:42:06 MET 2001