Operator Splitting for Three-Phase Flow in Heterogeneous Porous Media

作     者：E.Abreu J.Douglas F.Furtado F.Pereira 

作者机构：Instituto Nacional de Matematica Pura e AplicadaRJ 22460-320Brazil Department of MathematicsPurdue UniversityWest LafayetteIN 47907-1395USA Department of MathematicsUniversity of WyomingLaramieWY 82071-3036USA Department of Mathematics and School of Energy ResourcesUniversity of WyomingLaramieWY 82071-3036USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2009年第6卷第6期

页      面：72-84页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

主　　题：Operator splitting three-phase flow heterogeneous porous media central differencing schemes mixed finite elements 

摘      要：We describe an operator splitting technique based on physics rather than on dimension for the numerical solution of a nonlinear system of partial differential equations which models three-phase flow through heterogeneous porous *** model for three-phase flow considered in this work takes into account capillary forces,general relations for the relative permeability functions and variable porosity and permeability *** our numerical procedure a high resolution,nonoscillatory,second order,conservative central difference scheme is used for the approximation of the nonlinear system of hyperbolic conservation laws modeling the convective transport of the fluid *** scheme is combined with locally conservative mixed finite elements for the numerical solution of the parabolic and elliptic problems associated with the diffusive transport of fluid phases and the pressure-velocity *** numerical procedure has been used to investigate the existence and stability of nonclassical shock waves(called transitional or undercompressive shock waves)in two-dimensional heterogeneous flows,thereby extending previous results for one-dimensional flow *** experiments indicate that the operator splitting technique discussed here leads to computational efficiency and accurate numerical results.