Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic
SystemsMarsha 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
- Marsha J.
- Randall J. LeVeque, mailto:firstname.lastname@example.org
- Publishing information:
- SIAM J. Numer. Anal. 35(1998) 2298-2316
- Submitted by:
November 28 1997.
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