Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 55, Issue 7, Pages 1568-1575Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2007.08.016
Keywords
lattice BGK model; convection-diffusion equation with source; reaction-diffusion system
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A new scheme for source term in the lattice BGK (LBGK) model for convection-diffusion equation is proposed. Unlike the models proposed previously, the present scheme only requires the source term in order of the Knudsen number by adding a differential operator of the source term to the evolution equation. The scheme can be applied to reaction-diffusion systems directly. Numerical results are found to be in excellent agreement with the analytical solutions. It is also found that the numerical accuracy of the present scheme is generally much better than that of the existing models. (c) 2007 Elsevier Ltd. All rights reserved.
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