Nonexistence of H theorems for the athermal lattice Boltzmann models with polynomial equilibria

被引：28
|
作者：
Yong, WA
Luo, LS
机构：
[1] Heidelberg Univ, IWR, D-69120 Heidelberg, Germany
[2] NASA, Langley Res Ctr, ICASE, Hampton, VA 23681 USA
来源：
PHYSICAL REVIEW E | 2003年 / 67卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.67.051105
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：
We prove that no H theorem exists for the athermal lattice Boltzmann equation with polynomial equilibria satisfying the conservation laws exactly and explicitly. The proof is demonstrated by using the seven-velocity model in a triangular lattice in two dimensions, and can be readily extended to other lattice Boltzmann models in two and three dimensions. Some issues pertinent to the numerical instabilities of the lattice Boltzmann method are disscussed.
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页数：4
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