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

Authors:
Rui Du;Wenwen Liu
Affiliations:
Department of Mathematics, Southeast University, Nanjing, P.R. China 210096;Department of Engineering Mechanics, Tsinghua University, Beijing, P.R. China 100084
Venue:
Journal of Scientific Computing
Year:
2013

Citing 6
Cited 1

Applying the Lattice Boltzmann Equation to Multiscale Fluid Problems

Computing in Science and Engineering
Entropic lattice Boltzmann method for simulation of thermal flows

Mathematics and Computers in Simulation - Special issue: Discrete simulation of fluid dynamics in complex systems
Non-negativity and stability analyses of lattice Boltzmann method for advection-diffusion equation

Journal of Computational Physics
LBM based flow simulation using GPU computing processor

Computers & Mathematics with Applications
Combined Lattice Boltzmann and phase-field simulations for incompressible fluid flow in porous media

Mathematics and Computers in Simulation
Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation

Journal of Computational Physics

Hydrodynamics in Porous Media: A Finite Volume Lattice Boltzmann Study

Journal of Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

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=103---109 are carried out and excellent agreements are obtained to demonstrate the numerical accuracy and stability of the proposed model.