耦合KdV方程组的格子Boltzmann模型

J4 ›› 2012, Vol. 50 ›› Issue (05): 867-874.

耦合KdV方程组的格子Boltzmann模型

王慧敏, 刘艳红

1. 吉林财经大学应用数学学院, 长春 130117|2. 吉林大学数学学院, 长春 130012

收稿日期:2011-12-06 出版日期:2012-09-26 发布日期:2012-09-29
通讯作者: 王慧敏 E-mail:whm780921@sina.com

Lattice Boltzmann Model for the CoupledKortewegde Vries Equations

WANG Huimin^1,2, LIU Yanhong²

1. College of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China;
2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2011-12-06 Online:2012-09-26 Published:2012-09-29
Contact: WANG Huimin E-mail:whm780921@sina.com

摘要/Abstract

摘要：

用格子Boltzmann方法研究耦合KdV方程组. 构建耦合KdV方程组的格子Boltzmann 模型并进行了数值实验, 同时将格子Boltzmann解与其他传统数值方法得到的数值解进行比较. 结果表明, 格子Boltzmann方法是一种求解耦合KdV方程组的有效方法.

关键词: 耦合KdV方程组；格子Boltzmann方法； ChapmanEnskog分析

Abstract:

We used the lattice Boltzmann method to study the coupled Kortewegde Vries equations. We constructed a lattice Boltzmann model for the coupled Kortewegde Vries equations, and performed numerical experiments. Comparing the lattice Boltzmann solution with other numerical solutions, we obtained that the lattice Boltzmann method is an effective method for simulating the coupled Kortewegde Vries equations.

Key words: coupled Kortewegde Vries equations； , lattice Boltzmann method； ChapmanEnskog analysis

中图分类号:

O242.1

王慧敏, 刘艳红. 耦合KdV方程组的格子Boltzmann模型[J]. J4, 2012, 50(05): 867-874.

WANG Hui-Min, LIU Yan-Gong. Lattice Boltzmann Model for the CoupledKortewegde Vries Equations[J]. J4, 2012, 50(05): 867-874.