Abstract
Analysis of Momentum Transfer in a Lid-Driven Cavity Containing a Brinkman-Forchheimer Medium
Transport in Porous Media, Vol.92, No.1, p101-118, 2012.
Duoxing Yang, Ziqiu Xue, Simon A. Mathias

The CE/SE(the space-time conservation element and solution element method)scheme with the second-order accuracy has been proposed. And the pretreatment method has been introduced to convert the parabolic equations to the hyperbolic equations, which are accurately solved by the CE/SE method. The lid-driven rectangular cavity containing a porous Brinkman-Forchheimer medium is studied in this numerical investigation. The Brinkman-Forchheimer equation is used such that both the inertial and viscous effects are incorporated. The goveming equations are solved by the improved CE/SE approach. The characteristics of the flow are analyzed with emphasis on the influence of the Darcy number and the cavity depth. It is found that the porous medium effect decreases both the strength and the number of eddies, especially for deep cavities.

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