A virtual element method for the two-phase flow of immiscible fluids in porous media

被引：3
|
作者：
Berrone, Stefano [1 ]
Busetto, Martina [1 ]
机构：
[1] Politecn Torino, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
COMPUTATIONAL GEOSCIENCES | 2022年 / 26卷 / 01期
关键词：
Virtual element method (VEM); Two-phase immiscible flow; Porous media; Polygonal mesh; 2ND-ORDER ELLIPTIC PROBLEMS; EQUATION;
D O I：
10.1007/s10596-021-10116-4
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A primal C-0-conforming virtual element discretization for the approximation of the bidimensional two-phase flow of immiscible fluids in porous media using general polygonal meshes is discussed. This work investigates the potentialities of the Virtual Element Method (VEM) in solving this specific problem of immiscible fluids in porous media involving a time-dependent coupled system of non-linear partial differential equations. The performance of the fully discrete scheme is thoroughly analysed testing it on general meshes considering both a regular problem and more realistic benchmark problems that are of interest for physical and engineering applications.
引用
收藏
页码：195 / 216
页数：22
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