Nonexistence of H Theorem for Some Lattice Boltzmann Models

被引：2
|
作者：
Wen-an Yong
Li-Shi Luo
机构：
[1] Universität Heidelberg,IWR
[2] Old Dominion University,Department of Mathematics and Statistics
来源：
Journal of Statistical Physics | 2005年 / 121卷
关键词：
Lattice Boltzmann equation; -theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we provide a set of sufficient conditions under which a lattice Boltzmann model does not admit an H theorem. By verifying the conditions, we prove that a number of existing lattice Boltzmann models does not admit an H theorem. These models include D2Q6, D2Q9 and D3Q15 athermal models, and D2Q16 and D3Q40 thermal (energy-conserving) models. The proof does not require the equilibria to be polynomials.
引用
收藏
页码：91 / 103
页数：12
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