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

页码：91 / 103

页数：12

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