Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems (1998)
| Venue: | SIAM J. Numer. Anal |
| Citations: | 35 - 6 self |
BibTeX
@ARTICLE{Berger98adaptivemesh,
author = {Marsha J. Berger and Randall and J. Leveque},
title = {Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems},
journal = {SIAM J. Numer. Anal},
year = {1998},
volume = {35},
pages = {2298--2316}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
Dedicated to Ami Harten for his many contributions and warm sense of humor. 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.
