Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

被引：6
作者：
He, XY
Luo, LS
机构：
[1] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[2] Univ Calif Los Alamos Natl Lab, Complex Syst Grp T13, Los Alamos, NM 87545 USA
[3] NASA, Langley Res Ctr, ICASE, Hampton, VA 23681 USA
来源：
PHYSICAL REVIEW E | 1997年 / 56卷 / 06期
关键词：
D O I：
10.1103/physreve.56.6811
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail. A general procedure to derive the lattice Boltzmann model from the continuous Boltzmann equation is demonstrated explicitly. The lattice Boltzmann models derived include the two-dimensional 6-bit, 7-bit, and 9-bit, and three-dimensional 27-bit models.
引用
收藏
页码：6811 / 6817
页数：7
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