Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure explicit saturation-based mixed finite element finite volume approach
R. Huber et R. Helmig, Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure explicit saturation-based mixed finite element finite volume approach, INT J NUM F, 29(8), 1999, pp. 899-920
Citations number
28
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Various discretization methods exist for the numerical simulation of multip
hase flow in porous media. In this paper, two methods are introduced and an
alyzed-a full-upwind Galerkin method which belongs to the classical finite
element methods, and a mixed-hybrid finite element method based on an impli
cit pressure-explicit saturation (IMPES) approach. Both methods are derived
from the governing equations of two-phase flow. Their discretization conce
pts are compared in detail. Their efficiency is discussed using several exa
mples. Copyright (C) 1999 John Wiley & Sons, Ltd.