CE/SE Scheme for Incompressible Flows through Porous Media

摘要

An improved two-dimensional space-time conservation element and solution element (CE/SE) method with first-order accuracy is applied to simulate flow in porous media, using Brinkman-Forchheimer-extended Darcy models. The numerical result of lid-driven cavity flow demonstrates the availability of the CE/SE method for numerical simulation of flow in porous media, somewhat similar to those obtained by Ghia. After investigating the effect of Darcy number and its anisotropy as well as porosity on flow, it's found that Darcy number has determinant influence on flows in porous media.