Thermal lattice Boltzmann equation for low Mach number flows: Decoupling model

被引:250
作者
Guo, Zhaoli [1 ]
Zheng, Chuguang
Shi, Baochang
Zhao, T. S.
机构
[1] Huazhong Univ Sci & Technol, Natl Lab Coal Combust, Wuhan 430074, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China
来源
PHYSICAL REVIEW E | 2007年 / 75卷 / 03期
关键词
D O I
10.1103/PhysRevE.75.036704
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A lattice Boltzmann model is proposed for solving low Mach number thermal flows with viscous dissipation and compression work in the double-distribution-function framework. A distribution function representing the total energy is defined based on a single velocity distribution function, and its evolution equation is derived from the continuous Boltzmann equation. A lattice Boltzmann equation model with clear physics and a simple structure is then obtained from a kinetic model for the decoupled hydrodynamic and energy equations. The model is tested by simulating a thermal Poiseuille flow and natural convection in a square cavity, and it is found that the numerical results agree well with the analytical solutions and/or the data reported in previous studies.
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页数:15
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