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Lattice-Boltzmann Method for Macroscopic Porous Media Modeling

Author

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  • David M. Freed

    (Exa Corporation, 450 Bedford Street, Lexington, Massachusetts 02173, USA)

Abstract

An extension to the basic lattice-BGK algorithm is presented for modeling a simulation region as a porous medium. The method recovers flow through a resistance field with arbitrary values of the resistance tensor components. Corrections to a previous algorithm are identified. Simple validation tests are performed which verify the accuracy of the method, and demonstrate that inertial effects give a deviation from Darcy's law for nominal simulation velocities.

Suggested Citation

  • David M. Freed, 1998. "Lattice-Boltzmann Method for Macroscopic Porous Media Modeling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1491-1503.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001357
    DOI: 10.1142/S0129183198001357
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    Cited by:

    1. Liu, Qing & He, Ya-Ling, 2017. "Lattice Boltzmann simulations of convection heat transfer in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 742-753.
    2. Liu, Qing & He, Ya-Ling, 2015. "Multiple-relaxation-time lattice Boltzmann modeling of incompressible flows in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 215-230.

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    Keywords

    Lattice-Boltzmann; Porous Media Model;

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