A novel two-dimensional coupled lattice Boltzmann model for thermal incompressible flows

被引：49
|
作者：
Wei, Yikun [1 ]
Yang, Hui [1 ]
Dou, Hua-Shu [1 ]
Lin, Zhe [1 ]
Wang, Zhengdao [2 ]
Qian, Yuehong [3 ]
机构：
[1] Zhejiang Sci Tech Univ, Fac Mech Engn & Automat, Prov Key Lab Fluid Transmiss Technol, Hangzhou 310018, Zhejiang, Peoples R China
[2] Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China
[3] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 339卷
基金：
中国国家自然科学基金;
关键词：
Lattice Boltzmann method; Convection; Incompressible flows; Numerical simulation; NATURAL-CONVECTION; BGK MODEL; SIMULATIONS;
D O I：
10.1016/j.amc.2018.07.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel two-dimensional coupled lattice Boltzmann model is developed for thermal incompressible fluid flows. A modified equilibrium distribution function is proposed in the present model. A mesoscopic discrete force is coupled into the modified equilibrium distribution function based on the Boussinesq approximation. The outstanding advantages of the standard lattice Boltzmann method are retained in present model besides better numerical stability. The present model is validated by the numerical simulation of the natural and Rayleigh-Benard convection at a wide range of Rayleigh numbers. Excellent agreement between the present results and previous lattice Boltzmann method or theoretical prediction demonstrates that present model is an efficient numerical method for natural and Rayleigh-Benard convection. Further, present model is also successfully assessed considering Rayleigh-Taylor instability. It is also easier and convenient to be implemented as compared with the previous thermal models. (C) 2018 Published by Elsevier Inc.
引用
收藏
页码：556 / 567
页数：12
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