Modeling and characterization of a porous medium by a coupled approach between the Wavier-Stokes and Darcy equations

In this present work, simulations were carried out numerically to characterize a porous material. The basic equations, which govern this problem, are those of the Navier-Stokes equations coupled with the Darcy equation. In order to understand the phenomena at stake, a first test was first completed on the independence of the mesh compared to the numerical solution obtained, the second test is devoted to the validation of Darcy (Re <<1). The characterization of the material is based on physical tests; the first is devoted to the porosity of the material, the second to the thickness, and the trireme to the saturation. The results are presented on the one hand contours for the velocity fields and streamlines, and on the other hand, are illustrated with curves to interpret the physical parameters studied in relation to each other.