变系数Wave-Like方程的格子Boltzmann模型

吉林大学学报(理学版)

变系数Wave-Like方程的格子Boltzmann模型

史秀波¹, 闫广武²

1. 桂林理工大学理学院, 广西桂林 541004； 2. 吉林大学数学学院, 长春 130012

收稿日期:2012-09-10 出版日期:2013-07-26 发布日期:2013-08-06
通讯作者: 闫广武 E-mail:yangw@email.jlu.edu.cn

Lattice Boltzmann Model for the WaveLikeEquation with Variable Coefficients

SHI Xiubo¹, YAN Guangwu²

1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi zhuangAutonomous Region, China; 2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2012-09-10 Online:2013-07-26 Published:2013-08-06
Contact: YAN Guangwu E-mail:yangw@email.jlu.edu.cn

摘要/Abstract

摘要：

用格子Boltzmann方法研究变系数wave-like方程, 构建了变系数wave-like方程的格子Boltzmann模型. 先运用该模型对二维和三维wave-like问题进行数值模拟, 再将格子Boltzmann数值解与其解析结果进行比较. 结果表明, 该方法可以用于模拟变系数wave-like问题.

关键词: 格子Boltzmann模型, 变系数wave-like方程, 高阶矩方法

Abstract:

We used the lattice Boltzmann method to study the wavelike equation with variable coefficients. We constructed a lattice Boltzmann model for the wavelike equation with variable coefficients. By using this model, the two and three dimensional wavelike equation with variable coefficients are simulated. By comparison between these results and analytic solutions, we find that this method can be used to simulate wavelike problems with variable coefficients.

Key words: lattice Boltzmann model, wavelike equation with variable coefficients, higherorder moments method

中图分类号:

O242.1

史秀波, 闫广武. 变系数Wave-Like方程的格子Boltzmann模型[J]. 吉林大学学报(理学版), 2013, 51(04): 585-590.

SHI Xiubo, YAN Guangwu. Lattice Boltzmann Model for the WaveLikeEquation with Variable Coefficients[J]. Journal of Jilin University Science Edition, 2013, 51(04): 585-590.

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