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

被引：19
|
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
收藏
页码：122 / 130
页数：9
相关论文
共 50 条
  • [1] A New Multiple-relaxation-time Lattice Boltzmann Method for Natural Convection
    Rui Du
    Wenwen Liu
    [J]. Journal of Scientific Computing, 2013, 56 : 122 - 130
  • [2] Multiple-relaxation-time lattice Boltzmann simulation of natural convection with multiple heat sources in a rectangular cavity
    Li, Peisheng
    Lian, Xiaolong
    Chen, Yue
    Zhang, Ying
    Zhao, Wandong
    Ma, Chunyang
    [J]. CANADIAN JOURNAL OF PHYSICS, 2020, 98 (04) : 332 - 343
  • [3] Multiple-Relaxation-Time Lattice Boltzmann method for thermosolutal convection in Czchralski silicon crystal growth
    Huang Weichao
    Wang Jing
    [J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 2042 - 2047
  • [4] Three-dimensional topology optimization of natural convection using double multiple-relaxation-time lattice Boltzmann method
    Luo, Ji-Wang
    Chen, Li
    Ke, Hanbing
    Zhang, Chuangde
    Xia, Yang
    Tao, Wen-Quan
    [J]. APPLIED THERMAL ENGINEERING, 2024, 236
  • [5] Multiple-relaxation-time lattice Boltzmann model for the axisymmetric convection diffusion equation
    Li, Like
    Mei, Renwei
    Klausner, James F.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 67 : 338 - 351
  • [6] Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
    Yoshida, Hiroaki
    Nagaoka, Makoto
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (20) : 7774 - 7795
  • [7] Viscous absorbing boundary of the multiple-relaxation-time lattice Boltzmann method
    Jiang, Chun-Tao
    Zhou, Hui
    Xia, Muming
    Tang, Jin-Xuan
    Wang, Ying
    [J]. Shiyou Diqiu Wuli Kantan/Oil Geophysical Prospecting, 2021, 56 (05): : 1030 - 1038
  • [8] Consistent boundary conditions of the multiple-relaxation-time lattice Boltzmann method for convection-diffusion equations
    Zhang, Liangqi
    Yang, Shiliang
    Zeng, Zhong
    Chew, Jia Wei
    [J]. COMPUTERS & FLUIDS, 2018, 170 : 24 - 40
  • [9] A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media
    Liu, Qing
    He, Ya-Ling
    Li, Qing
    Tao, Wen-Quan
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2014, 73 : 761 - 775
  • [10] An axisymmetric multiple-relaxation-time lattice Boltzmann scheme
    Xie, Wenjun
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 : 55 - 66
12345