Adaptive mesh for two-phase flow in porous media

Mazen Saad (1) , Huilong Zhang (2)

1 MAB - Laboratoire de Mathématiques Appliquées de Bordeaux
2 IMB - Institut de Mathématiques de Bordeaux

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.

Domaines: Analyse numérique [math.NA]

Mazen Saad, Huilong Zhang. Adaptive mesh for two-phase flow in porous media. Recent advances in problems of flow and transport in porous media, Kluwer Academic Publishers, pp.179-193, 1996. ⟨hal-00757097⟩