Galilean invariance of lattice Boltzmann models

被引：73
|
作者：
Nie, X. B. [1 ]
Shan, X. [1 ]
Chen, H. [1 ]
机构：
[1] Exa Corp, Burlington, MA 01803 USA
来源：
EPL | 2008年 / 81卷 / 03期
关键词：
D O I：
10.1209/0295-5075/81/34005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is well known that the original lattice Boltzmann (LB) equation deviates from the Navier-Stokes equations due to an unphysical velocity-dependent viscosity. This unphysical dependence violates the Galilean invariance and limits the validation domain of the LB method to near incompressible flows. As previously shown, recovery of correct transport phenomena in kinetic equations depends on the higher hydrodynamic moments. In this letter, we give specific criteria for recovery of various transport coefficients. The Galilean invariance of a general class of LB models is demonstrated via numerical experiments. Copyright (C) EPLA, 2008.
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页数：6
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