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A kinetic theory based thermal lattice Boltzmann equation model

Author

Listed:
  • Qinglan Zhai

    (School of Economics Management and Law, Chaohu University, Chaohu 238000, P. R. China)

  • Song Zheng

    (School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou Zhejiang 310018, P. R. China)

  • Lin Zheng

    (MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China)

Abstract

A thermal lattice Boltzmann equation (LBE) model within the framework of double distribution function (DDF) method is proposed from the continuous DDF Boltzmann equation, which has a clear physical significance. Since the discrete velocity set in present LBE model is not space filled, a Lax–Wendroff scheme is applied to solve the evolution equations by which the spatial interpolation of two distribution functions is overcome. To validate the model, some classical numerical tests include thermal Couette flow and natural convection flow are simulated, and the results agree well with the analytic solutions and other numerical results, which showed that the present model had the ability to describe the thermal fluid flow phenomena.

Suggested Citation

  • Qinglan Zhai & Song Zheng & Lin Zheng, 2017. "A kinetic theory based thermal lattice Boltzmann equation model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 1-14, April.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:04:n:s0129183117500474
    DOI: 10.1142/S0129183117500474
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    Keywords

    Lattice Boltzmann; thermal convection;

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