计算物理 ›› 1997, Vol. 14 ›› Issue (S1): 663-665.

• 论文 • 上一篇    下一篇

用改进的格子Boltzmann方法模拟浅水长波问题

施卫平, 胡守信, 阎广武   

  1. 吉林大学数学系力学教研室, 长春 130023
  • 收稿日期:1997-03-03 修回日期:1997-05-19 出版日期:1997-12-25 发布日期:1997-12-25
  • 基金资助:
    本文的研究工作由国家自然科学基金资助

AN IMPROVED LATTICE BOLTZMANN METHOD FOR THE SHALLOW WATER LONG WAVE EQUATION

Shi Weiping, Hu Shouxin, Yan Guangwu   

  1. Department of Mathematics Jilin University, Changchun 130023
  • Received:1997-03-03 Revised:1997-05-19 Online:1997-12-25 Published:1997-12-25

摘要: 以正六边形的格子Boltzmann方法(LBM)为基础,通过气体动力学的Euler方程与浅水长波方程的比拟,修改了原有的LBM方法的平衡态分布函数,使LBM方法所对应的流体力学方程与浅水长波方程一致。一维问题的计算结果与离散速度法得到的计算结果作了比较。

关键词: 格子Boltzmann方法, 浅水长波方程, Euler方程

Abstract: Based on the equivalence between the aerdynamical Euler equation and the shallow water long wave equation, the equilibrum distribution function of the orginal LBM is improved, and hence the macrodynamical equation of shallow water long waves is derived. The resoults of one dimentional numerical test are compaired with those obtained by discrete velocity model.

Key words: lattice Boltzmann method, shallow water wave, Euler equatoin

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