Coupled Calculations of Flows in Domains Including a Porous Medium and a Homogeneous Fluid

Abstract

In this paper, we consider a model for coupled calculations of porous medium-free flow systems. It is based on the generalized Navier-Stokes equations obtained by averaging over a representative elementary volume of a porous medium and written for the entire computational domain consisting of two subdomains differing in a medium composition. To calculate this model, a numerical algorithm based on the finite element method for the coupled formulation of the equations for the momentum and continuity is developed by applying Newton’s method. The verification of the developed calculation method was carried out on two verification cases using the known numerical results of other authors.