Fast sweeping methods for hyperbolic systems of conservation laws at steady state II

Björn Engquist, Brittany D. Froese, Yen Hsi Richard Tsai

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We further develop these methods to allow for a more challenging class of problems including problems with sonic points, shocks originating in the interior of the domain, rarefaction waves, and two-dimensional systems. We show that fast sweeping methods can produce higher-order accuracy. Computational results validate the claims of accuracy, sharp shock curves, and optimal computational efficiency.

Original languageEnglish (US)
Pages (from-to)70-86
Number of pages17
JournalJournal of Computational Physics
Volume286
DOIs
StatePublished - Apr 1 2015
Externally publishedYes

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

Keywords

  • Conservation laws
  • Fast sweeping methods
  • Hyperbolic equations
  • Numerical analysis

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