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Title: Thermal lattice Boltzmann equation for low Mach number flows : Decoupling model
Authors: Guo, Zhaoli
Zheng, Chuguang
Shi, Baochang
Zhao, Tian-Shou
Keywords: Natural convection
Poiseuille flow
Lattice theory
Boltzmann equation
Issue Date: Mar-2007
Citation: Physical review. E, v. 75, 036704 (2007)
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.
Rights: Physical Review. E © copyright 2007 American Physical Society. The Journal's web site is located at
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