Lattice Boltzmann method for the generalized Kuramoto–Sivashinsky equation

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.

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Year of publication:	2009
Authors:	Lai, Huilin ; Ma, Changfeng
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 388.2009, 8, p. 1405-1412
Publisher:	Elsevier
Subject:	Lattice Boltzmann method \| Generalized Kuramoto–Sivashinsky equation \| KdV-Burgers–Kuramoto equation \| Chapman–Enskog expansion

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059698