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

✍ Scribed by Samir Karaa

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
95 KB
Volume
22
Category
Article
ISSN
0749-159X

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✦ Synopsis

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. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2006

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