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.

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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.

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