New thermal MRT lattice Boltzmann method for simulations of convective flows

被引:36
作者
Jami, Mohammed [1 ]
Moufekkir, Faycal [1 ]
Mezrhab, Ahmed [1 ]
Fontaine, Jean Pierre [2 ]
Bouzidi, M'hamed [3 ]
机构
[1] Univ Mohammed 1, Fac Sci, Dept Phys, Lab Mecan & Energet, Oujda 60000, Morocco
[2] Clermont Univ, Univ Blaise Pascal, Inst Pascal Axe GePEB, UMR CNRS 6602, F-63174 Aubiere, France
[3] Clermont Univ, Univ Blaise Pascal, Inst Pascal Axe MMS, IUT Montlucon,UMR CNRS 6602, F-03101 Montlucon, France
关键词
New thermal MRT lattice Boltzmann method; Convective flows; LAMINAR NATURAL-CONVECTION; SQUARE CAVITY; EQUATION; MODEL; DISPERSION; ENCLOSURE; DIFFUSION;
D O I
10.1016/j.ijthermalsci.2015.09.011
中图分类号
O414.1 [热力学];
学科分类号
摘要
The purpose of this paper is to develop a numerical scheme based on the MRT-D2Q9 model for fluid velocity and the MRT-D2Q5 cross model for the temperature to study the natural convection phenomenon in a differentially heated square enclosure containing air. The present work aims to prove the accuracy and the capacity of this model to predict the thermodynamics phenomena. In fact, the main goal consists to demonstrate the efficiency of the double population approach based on new MRT-LBM scheme in the assessment of laminar and transitional flows in natural convection case for different Rayleigh numbers (up to 108). The numerical results of the present work were successfully checked for accuracy and are in satisfactory agreement with those available in literature. The results analysis shows that the present method has proven its ability to handle similar problem. (C) 2015 Published by Elsevier Masson SAS.
引用
收藏
页码:98 / 107
页数:10
相关论文
共 53 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]   Momentum transfer of a Boltzmann-lattice fluid with boundaries [J].
Bouzidi, M ;
Firdaouss, M ;
Lallemand, P .
PHYSICS OF FLUIDS, 2001, 13 (11) :3452-3459
[4]   Lattice Boltzmann equation on a two-dimensional rectangular grid [J].
Bouzidi, M ;
d'Humières, D ;
Lallemand, P ;
Luo, LS .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 172 (02) :704-717
[5]   DIFFUSION AND HYDRODYNAMIC DISPERSION WITH THE LATTICE BOLTZMANN METHOD [J].
CALI, A ;
SUCCI, S ;
CANCELLIERE, A ;
BENZI, R ;
GRAMIGNANI, M .
PHYSICAL REVIEW A, 1992, 45 (08) :5771-5774
[6]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342
[7]  
d'Humieres D., 1992, Prog. Astronaut. Aeronaut, V159, P450
[8]  
DAVIS GD, 1983, INT J NUMER METH FL, V3, P249
[9]   LATTICE BOLTZMANN COMPUTATIONS FOR REACTION-DIFFUSION EQUATIONS [J].
DAWSON, SP ;
CHEN, S ;
DOOLEN, GD .
JOURNAL OF CHEMICAL PHYSICS, 1993, 98 (02) :1514-1523
[10]   Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method [J].
Dixit, HN ;
Babu, V .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (3-4) :727-739