On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method

被引：18
|
作者：
Epshteyn, Y. [1 ]
Riviere, B. [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2006年 / 22卷 / 07期
关键词：
fully-implicit pressure-saturation formulation; Newton-Raphson; non-symmetric and symmetric interior penalty Galerkin; high order polynomials;
D O I：
10.1002/cnm.846
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents a fully implicit scheme for approximating two-phase flow in heterogeneous porous media. The primary unknowns are the wetting phase pressure and non-wetting phase saturation. At each time step, a Jacobian matrix is computed. Convergence of the scheme is shown via increase of the polynomial degree. No slope limiters are needed. Copyright (c) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码：741 / 751
页数：11
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