Local adaptive mesh refinement for shock hydrodynamics

M. J. Berger, P. Colella

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this work is the development of an automatic, adaptive mesh refinement strategy for solving hyperbolic conservation laws in two dimensions. There are two main difficulties in doing this. The first problem is due to the presence of discontinuities in the solution and the effect on them of discontinuities in the mesh. The second problem is how to organize the algorithm to minimize memory and CPU overhead. This is an important consideration and will continue to be important as more sophisticated algorithms that use data structures other than arrays are developed for use on vector and parallel computers.

Original languageEnglish (US)
Pages (from-to)64-84
Number of pages21
JournalJournal of Computational Physics
Volume82
Issue number1
DOIs
StatePublished - May 1989

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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