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.
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Jian Zhou (2007) studied this question.
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