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Incompressible lattice Boltzmann model for axisymmetric flows through porous media

Author

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  • Fumei Rong

    (School of Science, Hubei University of Technology, Wuhan 430068, P. R. China;
    Hubei Collaborative Innovation Center for High-Efficiency Utilization of Solar Energy, Hubei University of Technology, Wuhan 430068, P. R. China)

  • Baochang Shi

    (School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China)

Abstract

In this paper, an axisymmetric LBE model for incompressible flows through porous media is proposed. In this model, the influence of density change caused by large pressure difference can be overcome by replacing density distribution function with pressure distribution function. A more simple processing format for external force is introduced so as to make the involved method in this paper more perfect. The coupling between flow velocity and pressure also can be significantly reduced when calculating the macroscopic quantities. Good agreement between the analytical solution and numerical results is also obtained based on this model and it also can provide guidance for other problem with such complicated force forms.

Suggested Citation

  • Fumei Rong & Baochang Shi, 2015. "Incompressible lattice Boltzmann model for axisymmetric flows through porous media," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:04:n:s0129183115500369
    DOI: 10.1142/S0129183115500369
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