用LBM模拟无粘性浅水长波方程

吉林大学学报(工学版) ›› 2000, Vol. ›› Issue (2): 66-68.

用LBM模拟无粘性浅水长波方程

施卫平, 胡守信, 阎广武

吉林大学数学系, 吉林长春130023

收稿日期:1999-06-14 出版日期:2000-04-25
基金资助:
国家自然科学基金资助项目(19702005)

A LBM for the Nonviscous Shallow Water Long Wave Equation

SHI Wei-ping, HU Shou-xin, YAN Guang-wu

Dept of Mathematics, Jilin University, Changchun130023, China

Received:1999-06-14 Online:2000-04-25

摘要/Abstract

摘要： Lattice Boltzmann Method(LBM)可用于计算气体动力学方程,通过浅水长波方程与气体动力学方程的比拟,可得到计算浅水长波方程的LBM.确定了LBM中微观状态函数的形式及随时间变化的方式,给出了一个一维算例,并与精确解作了比较。

关键词: 格子(Boltzmann)方法, 浅水波, 气体动力学方程

Abstract: Based on the equivalence between the aerodynamical equation and the shallow water long wave equation, the lattice Boltzmann method is proposed to simulate the shallow water wave equation. The evolution of the distribution function has been given. The numerical simulations are presented and compared with the exact solution.

Key words: lattice Boltzmann method, shallow water wave, aerodynamical equation

中图分类号:

O352

施卫平, 胡守信, 阎广武. 用LBM模拟无粘性浅水长波方程[J]. 吉林大学学报(工学版), 2000, (2): 66-68.

SHI Wei-ping, HU Shou-xin, YAN Guang-wu. A LBM for the Nonviscous Shallow Water Long Wave Equation[J]. 吉林大学学报(工学版), 2000, (2): 66-68.

参考文献

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