Numerical modeling of local capillary effects in porous media as a pressure discontinuity acting on the interface of a transient bi-fluid flow

摘要: Transient flows through porous media can be controlled by local capillary forces. In an attempt to ease the representation of these complex multi-scale flows, this article presents a new numerical approach account for forces, viewed as global pressure discontinuity acting in bi-fluid smeared-out media. A finite element discretization Darcy’s equations is considered and enriched space locally introduced at fluid interface order capture discontinuity. Then, Variational Multiscale Stabilization (VMS) method selected take into subgrid effects on solution hence ensure consistency formulation. The front represented level set function, convected with velocity thanks scheme stabilized Streamline-Upwind/Petrov-Galerkin (SUPG) method. Both convergence implementation are first validated Method Manufactured Solution (MMS) model shows good convergence. Second, comparison experimental measurements case wicking water carbon reinforcements very correlation between results.