Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems

Marsha Berger, Randall J. Leveque

Research output: Contribution to journalArticle

Abstract

An adaptive mesh refinement algorithm developed for the Euler equations of gag 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.

Original languageEnglish (US)
Pages (from-to)2298-2316
Number of pages19
JournalSIAM Journal on Numerical Analysis
Volume35
Issue number6
StatePublished - 1998

Fingerprint

Adaptive Mesh Refinement
Hyperbolic Systems
Wave propagation
Wave Propagation
Conservation
Grid
Euler equations
Source Terms
Hyperbolic Equations
Euler Equations
High Resolution
Framework

Keywords

  • Acoustics
  • Adaptive mesh refinement
  • Finite-volume methods
  • Gas dynamics
  • Godunov
  • High resolution
  • Hyperbolic conservation laws
  • Software

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

Adaptive mesh refinement using wave-propagation algorithms for hyperbolic systems. / Berger, Marsha; Leveque, Randall J.

In: SIAM Journal on Numerical Analysis, Vol. 35, No. 6, 1998, p. 2298-2316.

Research output: Contribution to journalArticle

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