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.
LanguageEnglish
Pages467-471
Number of pages5
JournalComputers and Fluids
Volume46
Issue number1
DOIs
Publication statusPublished - 30 Jul 2011

Fingerprint

Advection
Linear equations
Conservation

Keywords

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

Cite this

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Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations. / Titarev, V.A.; Drikakis, D.

In: Computers and Fluids, Vol. 46, No. 1, 30.07.2011, p. 467-471.

Research output: Contribution to journalArticle

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KW - pyramidal

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KW - Godunov-type methods

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