Lattice Boltzmann method and its applications in engineering thermophysics

作     者：HE YaLing LI Qing WANG Yong TANG GuiHua 

作者机构：School of Energy and Power Engineering State Key Laboratory of Multiphase Flow in Power Engineering Xi'an Jiaotong UniversityXi'an 710049 China 

基　　金：Supported by the Key Project of National Natural Science Foundation of China (Grant Nos.50736005  U0934005) 

出 版 物：《Chinese Science Bulletin》 (Chin. Sci. Bull.)

年 卷 期：2009年第54卷第18期

页      码：4117-4134页

摘      要：The lattice Boltzmann method (LBM), a mesoscopic method between the molecular dynamics method and the conventional numerical methods, has been developed into a very efficient numerical alternative in the past two decades. Unlike conventional numerical methods, the kinetic theory based LBM simulates fluid flows by tracking the evolution of the particle distribution function, and then accumulates the distribution to obtain macroscopic averaged properties. In this article we review some work on LBM applications in engineering thermophysics: (1) brief introduction to the development of the LBM; (2) fundamental theory of LBM including the Boltzmann equation, Maxwell distribution function, Boltzmann-BGK equation, and the lattice Boltzmann-BGK equation; (3) lattice Boltzmann models for compressible flows and non-equilibrium gas flows, bounce back-specular-reflection boundary scheme for microscale gaseous flows, the mass modified outlet boundary scheme for fully developed flows, and an implicit-explicit finite-difference-based LBM; and (4) applications of the LBM to oscillating flow, compressible flow, porous media flow, non-equilibrium flow, and gas resonant oscillating flow.

主 题 词：格子玻尔兹曼方法 工程热物理 格子Boltzmann 麦克斯韦分布函数 分子动力学方法 可压缩流动 应用 数值方法 

学科分类：080704[080704] 080103[080103] 08[工学] 082303[082303] 0807[工学-电子信息类] 082302[082302] 0801[工学-力学类] 0823[工学-农业工程类] 

核心收录：

D　O　I：10.1007/s11434-009-0681-6

馆 藏 号：203856491...