Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation
Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation
复制标题
DOI：
10.1016/j.physa.2009.01.005
复制
发表时间：
2009-04-15
影响因子：
3.3
通讯作者：
Ma, Changfeng
中科院分区：
文献类型：
--
作者：
Lai, Huilin;Ma, Changfeng
本文对广义Kuramoto-Sivashinsky方程u（t）+ uu（x）+ alpha u（xx）+ beta u（xxx）+ gamma u（xxxx）= 0提出了一个带修正函数的格子Boltzmann模型.通过Chapman-Enskog展开，从连续Boltzmann方程中正确地恢复了控制演化方程。数值结果与解析解吻合较好。(C)2009 Elsevier B. V.保留所有权利。
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.