Complete Galilean-invariant lattice BGK models for the Navier-Stokes equation

被引：81

作者：

Qian, YH ^{[1
]}

Zhou, Y

机构：

[1] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA

[2] IBM Corp, Div Res, TJ Watson Res Ctr, Yorktown Heights, NY 10598 USA

[3] NASA, Inst Comp Applicat Sci & Engn, Langley Res Ctr, Hampton, VA 23681 USA

来源：

EUROPHYSICS LETTERS | 1998年 / 42卷 / 04期

关键词：

D O I：

10.1209/epl/i1998-00255-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Galilean invariance has been an important issue in lattice-based hydrodynamics models. Previous models concentrated on the nonlinear advection term. In this paper, we take into account the nonlinear response effect in a systematic way. Using the Chapman-Enskog expansion up to second order, complete Galilean invariant lattice BGK models in one dimension (theta = 3) and two dimensions (theta = 1) for the Navier-Stokes equation have been obtained.

引用

页码：359 / 364

页数：6