WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

P. Tsoutsanis, V.A. Titarev, D. Drikakis

Research output: Contribution to journalArticle

90 Citations (Scopus)

Abstract

The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on various types of grids. Schemes of up to fifth order of spatial accuracy are considered.
Original languageEnglish
Pages (from-to)1585-1601
Number of pages17
JournalJournal of Computational Physics
Volume230
Issue number4
DOIs
Publication statusPublished - 20 Feb 2011

Keywords

  • WENO
  • unstructured
  • tetrahedral
  • hexahedral
  • prismatic
  • pyramidal
  • mixed-element
  • Euler equations
  • three space dimensions
  • unstructured meshes

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