用于涡流系统双分布函数的格子Boltzmann模型

用于涡流系统双分布函数的格子Boltzmann模型

刘艳红, 闫广武, 王卫明

（吉林大学数学学院, 长春 130012 ）

收稿日期:2005-09-20 修回日期:1900-01-01 出版日期:2005-11-26 发布日期:2005-11-26
通讯作者: 闫广武

Lattice Boltzmann Model with the BiDistribution Functions for the Votercurrent System

LIU Yanhong, YAN Guang-wu, WANG Wei-ming

(College of Mathematics, Jilin University, Changchun 130012, China)

Received:2005-09-20 Revised:1900-01-01 Online:2005-11-26 Published:2005-11-26
Contact: YAN Guang-wu

摘要/Abstract

摘要： 提出一个格子Boltzmann模型应用于不可压缩流的涡流系统. 用两个分布函数分别定义涡量和流函数, 得到用两个格子Boltzmann方程建立的模型. 以数值为例, 得到一个比较好的方腔流动模式.

关键词: 格子Boltzmann方程, 不可压缩流, 涡流系统

Abstract: A lattice Boltzmann model was proposed for the eddy-stream system in the incompressible flows. Using two distribution functions to define the vortices and stream function, we obtained two lattice Boltzmann equations to build this model. Our equilibrium distribution function is simpler than the ones in the standard lattice Boltzmann model. As a numerical example, we obtained a good cavity flow pattern.

Key words: lattice Boltzmann equation, incompressible flows, eddy-current system

中图分类号:

O354

刘艳红, 闫广武, 王卫明. 用于涡流系统双分布函数的格子Boltzmann模型[J]. J4, 2005, 43(06): 731-734.

LIU Yanhong, YAN Guang-wu, WANG Wei-ming. Lattice Boltzmann Model with the BiDistribution Functions for the Votercurrent System[J]. J4, 2005, 43(06): 731-734.