Lattice Boltzmann method for the generalized Kuramoto–Sivashinsky equation

Huilin Lai and Changfeng Ma

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 8, 1405-1412

Abstract: In this paper, a lattice Boltzmann model with an amending function is proposed for the generalized Kuramoto–Sivashinsky equation that has the form ut+uux+αuxx+βuxxx+γuxxxx=0. With the Chapman–Enskog expansion, the governing evolution equation is recovered correctly from the continuous Boltzmann equation. It is found that the numerical results agree well with the analytical solutions.

Keywords: Lattice Boltzmann method; Generalized Kuramoto–Sivashinsky equation; KdV-Burgers–Kuramoto equation; Chapman–Enskog expansion (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:8:p:1405-1412

DOI: 10.1016/j.physa.2009.01.005

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