A New Multiple-relaxation-time Lattice Boltzmann Method for Natural Convection

被引：20

作者：

Du, Rui ^{[1
]}

Liu, Wenwen ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Tsinghua Univ, Dept Engn Mech, Beijing 100084, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2013年 / 56卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lattice Boltzmann method; Multi-relaxation-time; Natural convection; BOUNDARY-CONDITIONS; GAS AUTOMATA; EQUATION; MODELS; DISPERSION; DIMENSIONS; SIMULATION; ADVECTION; SPACE; FLOW;

D O I：

10.1007/s10915-012-9665-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to the study of multiple-relaxation-time (MRT) lattice Boltzmann method with eight-by-eight collision matrix for natural convection flow. In the velocity space, eight speed directions are used and the corresponding incompressible multiple-relaxation-time model with force term is presented. D2Q4 model is for temperature field. The coupled double distribution functions (DDF) overcome artificial compressible effect corresponding to the standard MRT model. The simulations of natural convection flows with Pr=0.71 for air and Ra=10(3)-10(9) are carried out and excellent agreements are obtained to demonstrate the numerical accuracy and stability of the proposed model.

引用

页码：122 / 130

页数：9

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