A priori derivation of the lattice Boltzmann equation

被引：609

作者：

He, XY

Luo, LS

机构：

[1] LOS ALAMOS NATL LAB, COMPLEX SYST GRP T13, THEORET T DIV, LOS ALAMOS, NM 87545 USA

[2] NASA, LANGLEY RES CTR, ICASE, HAMPTON, VA 23681 USA

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.55.R6333

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：

The lattice Boltzmann equation (LBE) is directly derived from the Boltzmann equation by discretization in both time and phase space. A procedure to systematically derive discrete velocity models is presented. A LBE algorithm with arbitrary mesh grids is proposed and a numerical simulation of the backward-facing step is conducted. The numerical result agrees well with experimental and previous numerical results. Various improvements on the LBE models are discussed, and an explanation of the instability of the existing LBE thermal models is also provided.

引用

页码：R6333 / R6336

页数：4

共 26 条

[1] LATTICE BOLTZMANN THERMOHYDRODYNAMICS [J].