CONTROL VOLUME APPROXIMATION OF DEGENERATE TWO-PHASE POROUS FLOWS

被引：3
|
作者：
Murphy, Thomas J. [1 ]
Walkington, Noel J. [1 ]
机构：
[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2019年 / 57卷 / 02期
基金：
美国国家科学基金会;
关键词：
degenerate; two-phase flow; convexity; EQUATIONS; DISCRETIZATIONS; EXISTENCE; MEDIA;
D O I：
10.1137/17M1160744
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Implicit Euler approximations of the equations governing the porous flow of two immiscible incompressible fluids are shown to be the Euler-Lagrange equations of a convex function. Tools from convex analysis are then used to develop robust fully discrete algorithms for their numerical approximation. Existence and uniqueness of solutions to control volume approximations are established.
引用
收藏
页码：527 / 546
页数：20
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