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 - 1 Jul 2011

Keywords

  • Diffusive
  • Hexahedral
  • Mixed-element
  • Prismatic
  • Pyramidal
  • Tetrahedral
  • Unstructured
  • Very high-order

Fingerprint Dive into the research topics of 'Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations'. Together they form a unique fingerprint.

  • Cite this