Title: Anti-diffusion in central difference scheme at steady-state transport equation

Authors: Md. Rashedul Islam, David Z. Zhu

Addresses: Department of Civil and Environmental Engineering, University of Alberta, Edmonton, AB, T6G 2W2, Canada. ' Department of Civil and Environmental Engineering, University of Alberta, Edmonton, AB, T6G 2W2, Canada

Abstract: This study shows that the central difference scheme causes anti-diffusion when applied to a steady-state one-dimensional scalar transport equation. This behaviour is opposite to the upwind scheme which adds numerical diffusion. An iterative anti-diffusion correction algorithm is developed, which eliminates anti-diffusion and reduces cell-Peclet number. This correction, in turn, eliminates or minimises numerical oscillation. This correction scheme is formulated for the inhomogenous equation and for two-dimensional problem as well.

Keywords: central difference; anti-diffusion; steady-state transport equations; numerical oscillation; scalar transport equations; cell-Peclet number; inhomogenous equation.

DOI: 10.1504/PCFD.2011.037567

Progress in Computational Fluid Dynamics, An International Journal, 2011 Vol.11 No.1, pp.1 - 5

Available online: 19 Dec 2010 *

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