Implementation of the Stress Jump Condition in a Control-Volume Finite-Element Method for the Simulation of Laminar Coupled Flows in Adjacent Open and Porous Domains

Abstract

Laminar coupled flow of a Newtonian fluid in adjacent open and fluid-saturated porous domains is modeled using the continuity and the Navier-Stokes equations in the open domain, and a continuity equation and the Brinkman-Forchheimer equations in the porous domain. At the interface, a jump condition is used with two adjustable coefficients: one related to an excess viscous stress and the other to an excess inertial stress. This mathematical model is solved using a control-volume finite-element method and a novel procedure for incorporating the interfacial stress jump condition. The solutions of two illustrative example problems are also presented and discussed.

B. R. Baliga was supported in part by a research grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada.