Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 8, Pages 1405-1412Publisher
ELSEVIER
DOI: 10.1016/j.physa.2009.01.005
Keywords
Lattice Boltzmann method; Generalized Kuramoto-Sivashinsky equation; KdV-Burgers-Kuramoto equation; Chapman-Enskog expansion
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Funding
- National Natural Science Foundation of China [10661005]
- Guangxi Science Foundation [0640165]
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In this paper, a lattice Boltzmann model with an amending function is proposed for the generalized Kuramoto-Sivashinsky equation that has the form u(t) + uu(x) + alpha u(xx) + beta u(xxx) + gamma u(xxxx) = 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. (C) 2009 Elsevier B.V. All rights reserved.
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