THERMAL LATTICE BOLTZMANN MODEL WITH VISCOUS HEAT DISSIPATION IN THE INCOMPRESSIBLE LIMIT

Zhi-Wei Tian (), Chun Zou (), H. J. Liu, Z. H. Liu, Z. L. Guo and C. G. Zheng
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Zhi-Wei Tian: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China
Chun Zou: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China
H. J. Liu: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China
Z. H. Liu: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China
Z. L. Guo: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China
C. G. Zheng: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan Hubei 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 08, 1131-1139

Abstract: A novel thermal lattice Boltzmann (LB) model is proposed to obtain the viscous heat term expediently. Unlike the existing thermal LB models, this model is entirely based on the framework of the LB method and directly derived from the macro temperature equation. Moreover, the computation cost decreases because the computation of complicated material derivative term has been avoided successfully. To testify the simulation capability of this model, the thermal Couette flow is simulated and the results indicate agreement with the analytical solutions.

Keywords: Lattice Boltzmann method; doubled populations thermal model; viscous heat dissipation; thermal Couette flow; 47.11.-j; 05.50.+q (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009631

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