Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems

Authors:
Marsha J. Berger;Randall J. LeVeque
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
1998

Citing 0
Cited 19

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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.