Numerical investigation of flow through porous media using lattice Boltzmann method

This work presents a simulation of incompressible viscous flow within a two-dimensional square cavity filled with porous medium. This study aims to analyze the flow in a lid-driven cavity flow with different Reynolds number and porosity values. The Brinkmann-Forcheimer equation was coupled with Lattice Boltzmann formulation to predict the velocity field in the system. The Lattice Boltzmann Method (LBM) which is known as discrete lattice kinetic is chosen to provide solution for Navier-stokes equations. A specific two-dimensional nine-velocity square lattice model (D2Q9 Model) was used in the simulation. It is found that the LBM is an efficient method to reproduce the dynamics of cavity flow and found to reproduce results comparable to previous work.