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Lattice Boltzmann模型在CFD中应用
引用本文:乐励华,温荣生,张文.Lattice Boltzmann模型在CFD中应用[J].数学的实践与认识,2009,39(11).
作者姓名:乐励华  温荣生  张文
作者单位:东华理工大学,数学与信息科学学院,江西,抚州,344000
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.

关 键 词:Lattice  Boltzmann方法  平衡态分布函数  D2Q9模型  计算流体动力学

Application of Lattice Boltzmanm Model in Computational Fluid Dynamics
LE Li-hua,WEN Rong-sheng,ZHANG Wen.Application of Lattice Boltzmanm Model in Computational Fluid Dynamics[J].Mathematics in Practice and Theory,2009,39(11).
Authors:LE Li-hua  WEN Rong-sheng  ZHANG Wen
Abstract: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, we introduce Lattice Boltzmann method and its basic principle and its application, that is a efficient modeling numerical algorithm for complex fluid flow. two numerical simulation results illustrate that Lattice Boltzmann 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.
Keywords:Lattice Boltzmann method  equilibrium distribution functions  D2Q9 model  Computational Fluid Dynamics
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