Perfect entropy functions of the Lattice Boltzmann method

被引：310

作者：

Karlin, IV ^{[1
]}

Ferrante, A

Öttinger, HC

机构：

[1] ETH Zurich, Dept Mat, Inst Polymers, CH-8092 Zurich, Switzerland

[2] Inst Computat Modeling, Krasnoyarsk, Russia

来源：

EUROPHYSICS LETTERS | 1999年 / 47卷 / 02期

关键词：

D O I：

10.1209/epl/i1999-00370-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this letter, we derive entropy functions whose local equilibria are suitable to recover the Navier-Stokes equations in the framework of the Lattice Boltzmann method. For the two-dimensional nine-velocity lattice we demonstrate that such an entropy function is unique, and that the expansion of the corresponding local equilibrium is the well-known local equilibrium of Y. H. Qian et al. (Europhys. Lett., 17 (1992) 479). Based on the knowledge of entropy functions, we introduce a new version of the Lattice Boltzmann method with an H-theorem built in.

引用

页码：182 / 188

页数：7

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