ANALYSIS OF A MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA

被引：23

作者：

Formaggia, Luca ^{[1
]}

Scotti, Anna ^{[1
]}

Sottocasa, Federica ^{[1
]}

机构：

[1] Politecn Milan, MOX Dept Matemat, Via Bonardi 9, I-20133 Milan, Italy

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2018年 / 52卷 / 02期

关键词：

Flow in porous media; fracture networks; mimetic finite difference; VIRTUAL ELEMENT METHOD; DIFFUSION-PROBLEMS; NONMATCHING GRIDS; POLYHEDRAL MESHES; 2-PHASE FLOW; MODEL; DISCRETIZATION; NETWORKS; CONVERGENCE;

D O I：

10.1051/m2an/2017028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the mixed formulation for Darcy's flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.

引用

页码：595 / 630

页数：36

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