Adaptive mesh for two-phase flow in porous media
Résumé
When one fluid displaces others, the predominating physical process occurs along the moving interface between the fluids. This paper is devoted to the description of a computational algorithm for two-phase immiscible, incompressible flows in an adaptive composite grid to track the moving front. This algorithm is based on an IMPES method applied to a convergent and conservative finite volume scheme for the pressure equation, together with the finite difference scheme, upwind and MUSCL, for the transport equation on grids with local refinement.