Adaptive mesh refinement for characteristic codes

Frans Pretorius, Luis Lehner

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

The use of adaptive mesh refinement techniques is crucial for accurate and efficient simulation of higher dimensional spacetimes. In this work we develop an adaptive algorithm tailored to the integration of finite difference discretizations of wave-like equations using characteristic coordinates. We demonstrate the algorithm by constructing a code implementing the Einstein-Klein-Gordon system of equations in spherical symmetry. We discuss how the algorithm can trivially be generalized to higher dimensional systems, and suggest a method that can be used to parallelize a characteristic code.

Original languageEnglish (US)
Pages (from-to)10-34
Number of pages25
JournalJournal of Computational Physics
Volume198
Issue number1
DOIs
StatePublished - Jul 20 2004

All Science Journal Classification (ASJC) codes

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

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