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Thermal Lattice Boltzmann Model With Viscous Heat Dissipation In The Incompressible Limit

Author

Listed:
  • 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)

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.

Suggested Citation

  • Zhi-Wei Tian & Chun Zou & H. J. Liu & Z. H. Liu & Z. L. Guo & C. G. Zheng, 2006. "Thermal Lattice Boltzmann Model With Viscous Heat Dissipation In The Incompressible Limit," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(08), pages 1131-1139.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:08:n:s0129183106009631
    DOI: 10.1142/S0129183106009631
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