Study of a Numerical Scheme for Miscible Two-Phase Flow in Porous Media

被引：3
|
作者：
Eymard, Robert [1 ]
Schleper, Veronika [2 ]
机构：
[1] Univ Paris Est, LAMA UMR 8050, Marne La Vallee, France
[2] Univ Stuttgart, Inst Angew Anal & Numer Simulat, D-70174 Stuttgart, Germany
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 03期
关键词：
two-phase flow in porous medium; dissolution; finite volume methods; convergence study; FINITE-VOLUME SCHEME; PRESSURE;
D O I：
10.1002/num.21823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the convergence of a finite volume scheme for a model of miscible two-phase flow in porous media. In this model, one phase can dissolve into the other one. The convergence of the scheme is proved thanks to an estimate on the two pressures, which allows to prove some estimates on the discrete time derivative of some nonlinear functions of the unknowns. Monotony arguments allow to show some properties on the limits of these functions. A key point in the scheme is to use particular averaging formula for the dissolution function arising in the space term. (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 723-748, 2014
引用
收藏
页码：723 / 748
页数：26
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