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