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

页码：1054 / 1062

页数：9

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