Mimetic finite difference approximation of flows in fractured porous media

• Published in: ESAIM. Mathematical modelling and numerical analysis Vol. 50; no. 3; pp. 809 - 832
• Main Authors: Antonietti, Paola F., Formaggia, Luca, Scotti, Anna, Verani, Marco, Verzott, Nicola
• Format: Journal Article
• Language: English
• Published: Les Ulis EDP Sciences 01.05.2016
• Subjects: 35Q86; 65N30; 76S05; Computer simulation; Finite difference method; flow in fractured porous media; Fractures; Mimetic finite differences; Permeability; Porous media; Simulation

We present a possible framework for the numerical simulation of flow in fractured porous media that couples mimetic finite differences for the porous matrix with a finite volume scheme for the flow in the fractures. The resulting method is theoretically analyzed in the case of a single fracture. Mor...