Numerical simulation of non-Darcian flow through a porous medium--颗粒学报PARTICUOLOGY

Yang, D., Yang, Y., & Costa, V. A. F. (2009). Numerical simulation of non-Darcian flow through a porous medium. Particuology, 7(3), 193–198. https://doi.org/10.1016/j.partic.2009.02.001

Numerical simulation of non-Darcian flow through a porous medium

Duoxing Yang ^{a b *}, Yipeng Yang ^c, V.A.F. Costa ^d

a Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029, China
b Institute of Crustal Dynamics, Chinese Earthquake Administration, Beijing, 100085, China
c Ministry of Environmental Protection of the People's Republic of China, Beijing, 100035, China
d Departamento de Engenharia Mecênica, Universidade de Aveiro, Campus Universitério de Santiago, 3810-193 Aveiro, Portugal

10.1016/j.partic.2009.02.001

Volume 7, Issue 3, June 2009, Pages 193-198

Received 13 August 2008, Accepted 3 February 2009, Available online 16 April 2009.

E-mail: yangdx@mail.iggcas.ac.cn

Highlights

Abstract

This work reports on fluid flow in a fluid-saturated porous medium, accounting for the boundary and inertial effects in the momentum equation. The flow is simulated by Brinkman–Forchheimer–extended Darcy formulation (DFB), using MAC (Marker And Cell) and Chorin pressure iteration method. The method is validated by comparison with analytic results. The effect of Reynolds number, Darcy number, porosity and viscosity ratio on velocity is investigated. As a result, it is found that Darcy number has a decisive influence on pressure as well as velocity, and the effect of viscosity ratio on velocity is very strong given the Darcy number. Additional key findings include unreasonable choice of effective viscosity can involve loss of important physical information.

Graphical abstract

Keywords

MAC; Pressure; Darcy law; Porous media; Permeability; Viscosity ratio

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