专门化Kuramoto-Sivashinsky方程的高效晶格Boltzmann方法

2013 IEEE International Conference of IEEE Region 10 (TENCON 2013) Pub Date : 2013-10-01 DOI:10.1109/TENCON.2013.6718850

Cai-Zhong Li, Xie Wenxian

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引用次数: 0

摘要

本文提出了一种具有一阶修正项的新的晶格玻尔兹曼模型来求解专门化的Kuramoto-Sivashinsky方程。控制方程一般可以从基于Chapman-Enskog展开的玻尔兹曼方程中恢复出来。数值结果与精确解吻合较好，验证了所提出的点阵玻尔兹曼方法适用于求解特殊的Kuramoto-Sivashinsky方程。

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Efficient lattice Boltzmann method for specialized Kuramoto-Sivashinsky equation

In this paper, a new lattice Boltzmann model with a first order amending term is offered to solve the specialized Kuramoto-Sivashinsky equation. The governing equation can be recovered generally from the proposed Boltzmann equation based on the Chapman-Enskog expansion. The numerical results agree well with the exact solutions and it verifies that the presented lattice Boltzmann method is suitable for solving the specialized Kuramoto-Sivashinsky equation.

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2013 IEEE International Conference of IEEE Region 10 (TENCON 2013)

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