Numerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square Cavity

Problem statement: Investigation of fluid flow behavior through porous media in a lid-driven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flow. Results: In the current study, we found that the magnitude of velocity, strength of vortex and velocity boundary layer is significantly affected porosity of the media. Conclusion: The lattice Boltzmann simulation scheme is capable in prediction of fluid flow behavior through porous media.