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  • Title: Lattice Boltzmann model for incompressible flows through porous media.
    Author: Guo Z, Zhao TS.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2002 Sep; 66(3 Pt 2B):036304. PubMed ID: 12366250.
    Abstract:
    In this paper a lattice Boltzmann model is proposed for isothermal incompressible flow in porous media. The key point is to include the porosity into the equilibrium distribution, and add a force term to the evolution equation to account for the linear and nonlinear drag forces of the medium (the Darcy's term and the Forcheimer's term). Through the Chapman-Enskog procedure, the generalized Navier-Stokes equations for incompressible flow in porous media are derived from the present lattice Boltzmann model. The generalized two-dimensional Poiseuille flow, Couette flow, and lid-driven cavity flow are simulated using the present model. It is found the numerical results agree well with the analytical and/or the finite-difference solutions.
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