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A Lattice Boltzmann Model For Groundwater Flows

Author

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  • JIAN GUO ZHOU

    (Department of Engineering, University of Liverpool, Liverpool L69 3GQ, United Kingdom)

Abstract

A novel lattice Boltzmann model is proposed for groundwater isotropic flows (LABGIF). It solves the isotropic groundwater equation. This is generally suitable for both steady and unsteady groundwater problems. Only a 5-speed square lattice is required for 2D and 7-speed cubic for 3D cases in the model. The Dirichlet and Neumann conditions associated with the common boundary conditions encountered in the groundwater modeling are treated with a simple procedure. The stability conditions for the model are described. The model is verified by being applied to steady and unsteady groundwater flows. There are excellent agreements between numerical predictions and exact/analytical solutions. This indicates that the scheme is simple, accurate, and robust.

Suggested Citation

  • Jian Guo Zhou, 2007. "A Lattice Boltzmann Model For Groundwater Flows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 973-991.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:06:n:s0129183107011078
    DOI: 10.1142/S0129183107011078
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    References listed on IDEAS

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    1. Hoover, W.G., 1995. "Comment on “Two disks in a box” [R.J. Speedy, Physica A 210 (1994) 341]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 195-195.
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