A lattice Boltzmann model for the Korteweg-de Vries equation with two conservation laws

被引：29
作者：
Zhang, Jianying [1 ]
Yan, Guangwu [1 ]
机构：
[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 07期
关键词：
Lattice Boltzmann model; Higher-order moment method; Korteweg-de Vries equation; SIMULATION; SOLITONS; FLOWS;
D O I：
10.1016/j.cpc.2008.12.027
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A lattice Boltzmann model for the Korteweg-de Vries (KdV) equation is presented by using the higher-order moment method. In contrast to the previous lattice Boltzmann model to the KdV equation, our method has higher-order accuracy. Two key steps in the development of this model are the addition of a momentum conservation condition. and the construction of a correlation between the first conservation law and the second conservation law. The numerical example shows the higher-order moment method can be used to raise the truncation error of the lattice Boltzmann scheme. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：1054 / 1062
页数：9
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