High-order approximation of 2D convection-diffusion equation on hexagonal grids

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We derive a fourth-order finite difference scheme for the two-dimensional convection-diffusion equation on an hexagonal grid. The difference scheme is defined on a single regular hexagon of size h over a seven-point stencil. Numerical experiments are conducted to verify the high accuracy of the derived scheme, and to compare it with the standard second-order central difference scheme.

Original languageEnglish
Pages (from-to)1238-1246
Number of pages9
JournalNumerical Methods for Partial Differential Equations
Volume22
Issue number5
DOIs
Publication statusPublished - Sep 2006

Keywords

  • Compact scheme
  • Convection-diffusion equation
  • Hexagonal grid

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis
  • Computational Mathematics

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