A lattice Boltzmann model for the generalized Burgers–Huxley equation

Yali Duan, Linghua Kong and Rui Zhang

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 625-632

Abstract: In this paper we develop a lattice Boltzmann model for the generalized Burgers–Huxley equation (GBHE). By choosing the proper time and space scales and applying the Chapman–Enskog expansion, the governing equation is recovered correctly from the lattice Boltzmann equation, and the local equilibrium distribution functions are obtained. Excellent agreement with the exact solution is observed, and better numerical accuracy is obtained than the available numerical result. The results indicate the present model is satisfactory and efficient. The method can also be applied to the generalized Burgers–Fisher equation and be extended to multidimensional cases.

Keywords: Lattice Boltzmann model; Generalized Burgers–Huxley equation; Chapman–Enskog expansion (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:625-632

DOI: 10.1016/j.physa.2011.08.034

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