一种高效建模数值算法及其应用——Lattice Boltzmann方法  

A Efficient Modeling Numerical Algorithm and Application——Lattice Boltzmann Method

作　　者：乐励华[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《东华理工大学学报（自然科学版）》2008年第4期391-395,共5页Journal of East China University of Technology(Natural Science)

基　　金：国家自然科学基金项目"复杂流动的格子Boltzmann建模与计算机仿真"(60773195)

摘　　要：近年来,格子Boltzmann方法(LBM)已发展为一种模拟流体和物理问题的新颖的、有前景的数值方法,在许多领域的各种数值问题求解上取得很大的成功。文章介绍了一种模拟复杂流动的高效建模数值算法Lattice Boltzmann方法和它的基本原理及其应用。并通过两个实例数值模拟计算,说明Lattice Boltzmann方法正确、有效,并展示了广阔的应用前景,为今后更深入的研究和广泛应用打下基础。In recent years, the Lattice Boltzmann method （LBM） has been developed into an alternative and promising numerical scheme for simulating fluid flows and modelling physics in fluids. The LBM has achieved great success in solving numerous problems in many areas. In this paper, Lattice Boltzmann method and its basic principle and its application are introduced, that is a efficient modeling numerical algorithm for complex fluid flow. Two numerical simulation results illustrate that Lattice Bohzmann method is right, effective, that shows a wide application prospect to us, which probably provides the bases of intensive research and extensive applications later on.

关 键 词：LATTICE BOLTZMANN方法 平衡态分布函数 D2Q9模型 

分 类 号：O175[理学—数学]