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

Samir Karaa

doi:10.1002/num.20149

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

Samir Karaa^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	1238-1246
Number of pages	9
Journal	Numerical Methods for Partial Differential Equations
Volume	22
Issue number	5
DOIs	https://doi.org/10.1002/num.20149
Publication status	Published - Sept 2006

Keywords

Compact scheme
Convection-diffusion equation
Hexagonal grid

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1002/num.20149

Cite this

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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.",

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AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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