Thermal lattice Boltzmann equation for low Mach number flows: decoupling model.
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.
Guo
Zhaoli
Z
National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, People's Republic of China. zlguo@hust.edu.cn
Zheng
Chuguang
C
Shi
Baochang
B
Zhao
T S
TS