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

Fingerprint

Higher Order Approximation
Convection-diffusion Equation
Hexagon
Grid
Central Difference Schemes
Difference Scheme
Finite Difference Scheme
Fourth Order
High Accuracy
Experiments
Numerical Experiment
Verify
Convection
Standards

Keywords

  • Compact scheme
  • Convection-diffusion equation
  • Hexagonal grid

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis
  • Computational Mathematics

Cite this

High-order approximation of 2D convection-diffusion equation on hexagonal grids. / Karaa, Samir.

In: Numerical Methods for Partial Differential Equations, Vol. 22, No. 5, 09.2006, p. 1238-1246.

Research output: Contribution to journalArticle

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