A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws

Fei Teng, Li Yuan*, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, a speed-up strategy for finite volume WENO schemes is developed for solving hyperbolic conservation laws. It adopts p-adaptive like reconstruction, which automatically adjusts from fifth order WENO reconstruction to first order constant reconstruction when nearly constant solutions are detected by the undivided differences. The corresponding order of accuracy for the solutions is shown to be the same as obtained by original WENO schemes. The strategy is implemented with both WENO and mapped WENO schemes. Numerical examples in different space dimensions show that the strategy can reduce the computational cost by 20-40%, especially for problems with large fraction of constant regions.

Original languageEnglish
Pages (from-to)359-378
Number of pages20
JournalJournal of Scientific Computing
Volume46
Issue number3
DOIs
Publication statusPublished - Mar 2011

Scopus Subject Areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Conservation law
  • Finite volume WENO method
  • Multi-dimension
  • Speed-up strategy

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