A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure

被引：0
作者：
Todd Arbogast
Mika Juntunen
Jamie Pool
Mary F. Wheeler
机构：
[1] The University of Texas,Institute for Computational Engineering and Sciences
[2] Aalto University School of Science,Department of Mathematics and Systems Analysis
来源：
Computational Geosciences | 2013年 / 17卷
关键词：
Finite element method; FEM; Discontinuous Galerkin; DG; Flow in porous media; Capillary pressure; IMPES; 65N30; 76S05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the slightly compressible two-phase flow problem in a porous medium with capillary pressure. The problem is solved using the implicit pressure, explicit saturation (IMPES) method, and the convergence is accelerated with iterative coupling of the equations. We use discontinuous Galerkin to discretize both the pressure and saturation equations. We apply two improvements, which are projecting the flux to the mass conservative H(div)-space and penalizing the jump in capillary pressure in the saturation equation. We also discuss the need and use of slope limiters and the choice of primary variables in discretization. The methods are verified with two- and three-dimensional numerical examples. The results show that the modifications stabilize the method and improve the solution.
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页码：1055 / 1078
页数：23
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