Volume 9, No. 2, June 2009, Pages 266-276 PDF(275 KB)
A CE/SE Scheme for Flows in Porous Media and Its Applications
Duo-Xing Yang1,2, Guo-Min Li2, De-Liang Zhang3
1 Institute of Crustal Dynamics, Chinese Earthquake Administration, Beijing 100085
2 Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029
3 Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
In this paper, a new computational scheme for solving flows in porous media was proposed. The scheme was based on an improved CE/SE method (the space-time Conservation Element and Solution Element method).We described porous flows by adopting DFB (Brinkman-Forchheimer extended Darcy) equation. The comparison between our computational results and Ghia’s confirmed the high accuracy, resolution, and efficiency of our CE/SE scheme. The proposed first-order CE/SE scheme is a new reliable way for numerical simulations of flows in porous media. After investigation of effects of Darcy number on porous flow, it shows that Darcy number has dominant influence on porous flow for the Reynolds number and porosity considered.
CE/SE; Porous media; Darcy law.