Multi-relaxation-time lattice Boltzmann model for incompressible flow

被引：100

作者：

Du, Rui

Shi, Baochang ^{[1
]}

Chen, Xingwang

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, State Key Lab Coal Combust, Wuhan 430074, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 359卷 / 06期

基金：

中国国家自然科学基金;

关键词：

lattice Boltzmann method; multi-relation-time; incompressible flow;

D O I：

10.1016/j.physleta.2006.07.074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter an incompressible MRT-LB model has been proposed. The equilibria in momentum space are derived from an earlier incompressible LBGK model by Guo et al. Through the Chapman-Enskog expansion the incompressible Navier-Stokes equations can be recovered without artificial compressible effects. The steady Poiseuille flow, the driven cavity flow and the double shear flow have been carried on by the incompressible MRT-LB model. The numerical simulation results agree well with the analytical solutions or the existing results. It is found that the incompressible MRT-LB model shows better numerical stability. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：564 / 572

页数：9

共 26 条

[1] THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].

BENZI, R ;

SUCCI, S ;

VERGASSOLA, M .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197

[2] A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].

BHATNAGAR, PL ;

GROSS, EP ;

KROOK, M .

PHYSICAL REVIEW, 1954, 94 (03) :511-525

[3] PERFORMANCE OF UNDER-RESOLVED 2-DIMENSIONAL INCOMPRESSIBLE-FLOW SIMULATIONS [J].

BROWN, DL ;

MINION, ML .

JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 122 (01) :165-183

[4] Lattice Boltzmann method for fluid flows [J].

Chen, S ;

Doolen, GD .

ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364

[5]

Chen XW, 2005, CHINESE PHYS, V14, P1398, DOI 10.1088/1009-1963/14/7/023

[6] Multiple-relaxation-time lattice Boltzmann models in three dimensions [J].

d'Humières, D ;

Ginzburg, I ;

Krafczyk, M ;

Lallemand, P ;

Luo, LS .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 360 (1792) :437-451

[7] Thirteen-velocity three-dimensional lattice Boltzmann model [J].

D'Humières, D. ;

Bouzidi, M. ;

Lallemand, P. .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 63 (6 II) :1-066702

[8]

d'Humieres D., 1992, Prog. Astronaut. Aeronaut, V159, P450, DOI DOI 10.2514/5.9781600866319.0450.0458

[9] Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers [J].

Erturk, E ;

Corke, TC ;

Gökçöl, C .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2005, 48 (07) :747-774

[10] HIGH-RE SOLUTIONS FOR INCOMPRESSIBLE-FLOW USING THE NAVIER STOKES EQUATIONS AND A MULTIGRID METHOD [J].

GHIA, U ;

GHIA, KN ;

SHIN, CT .

JOURNAL OF COMPUTATIONAL PHYSICS, 1982, 48 (03) :387-411

← 1 2 3 →