A 3D Lattice Boltzmann Method for Simulation of Fluid Flow in Porous Media

In the present work, a three-dimensional lattice Boltzmann method (LBM) is applied to simulate fluid flow in porous media. The influence of porous media is considered by introducing the porosity to the equilibrium distribution function. The velocity field in the system solved by adding The Brinkman and Forcheimer's terms (the linear and nonlinear drag forces term) to the lattice Boltzmann formulation. Investigations were performed with different Darcy number to exemaine the influence of porosity on the fluid flow in three-dimensional lid-driven cavity. The obtained results indicate that the lattice Boltzmann method is capable to simulate fluid flow in porous media.