Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations

V.A. Titarev, D. Drikakis

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The paper presents a linear high-order method for advection–diffusion conservation laws on three-dimensional mixed-element unstructured meshes. The key ingredient of the method is a reconstruction procedure in local computational coordinates. Numerical results illustrate the convergence rates for the linear equation and a non-linear hyperbolic system with diffusion terms for various types of meshes.
Original languageEnglish
Pages (from-to)467-471
Number of pages5
JournalComputers and Fluids
Volume46
Issue number1
DOIs
Publication statusPublished - 30 Jul 2011

Keywords

  • unstructured
  • tetrahedral
  • hexahedral
  • prismatic
  • pyramidal
  • mixed-element
  • very high-order
  • diffusive
  • Godunov-type methods

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