Multiple-relaxation-time lattice Boltzmann models in three dimensions

被引：1621

作者：

d'Humières, D

Ginzburg, I

Krafczyk, M

Lallemand, P

Luo, LS

机构：

[1] Ecole Normale Super, Lab Phys Stat, F-75231 Paris 05, France

[2] Fraunhofer Inst Technol & Wirtschaftsmath, D-67663 Kaiserslautern, Germany

[3] Tech Univ Munich, Fak Bauingenieur & Vermessungswesen, Lehrstuhl Bauinformat, D-80290 Munich, Germany

[4] Univ Paris 11, Lab Applicat Sci Calcul Intens, ASCI, F-91405 Orsay, France

[5] NASA, Langley Res Ctr, ICASE, Hampton, VA 23681 USA

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2002年 / 360卷 / 1792期

关键词：

multiple-relaxation-time LBE in three dimensions; D3Q15 and D3Q19 models; three-dimensional diagonal lid-driven cavity flow;

D O I：

10.1098/rsta.2001.0955

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 [理学]; 0710 [生物学]; 09 [农学];

摘要：

This article provides a concise exposition of the multiple-relaxation-time lattice Boltzmann equation, with examples of 15-velocity and 19-velocity models in three dimensions. Simulation of a diagonally lid-driven cavity flow in three dimensions at Re = 500 and 2000 is performed. The results clearly demonstrate the superior numerical stability of the multiple-relaxation-time lattice Boltzmann equation over the popular lattice Bhatnagar-Gross-Krook equation.

引用

页码：437 / 451

页数：15

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