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3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers
Philipp Schädle, Patrick Zulian, Daniel Vogler, Sthavishtha R. Bhopalam, Maria G.C. Nestola, Anozie Ebigbo, Rolf Krause and Martin O. Saar Computers & Geosciences 132 42 (2019) https://doi.org/10.1016/j.cageo.2019.06.014
A numerical framework for two-phase flow of CO2 injection into fractured water-saturated reservoirs
The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization
Domain Decomposition Methods in Science and Engineering XXIV
J. M. Nordbotten and W. M. Boon Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXIV 125 87 (2018) https://doi.org/10.1007/978-3-319-93873-8_7
A High-Order Numerical Manifold Method for Darcy Flow in Heterogeneous Porous Media
Uncertainty Quantification in Discrete Fracture Network Models: Stochastic Geometry
Stefano Berrone, Claudio Canuto, Sandra Pieraccini and Stefano Scialò Water Resources Research 54(2) 1338 (2018) https://doi.org/10.1002/2017WR021163
Benchmarks for single-phase flow in fractured porous media
Bernd Flemisch, Inga Berre, Wietse Boon, Alessio Fumagalli, Nicolas Schwenck, Anna Scotti, Ivar Stefansson and Alexandru Tatomir Advances in Water Resources 111 239 (2018) https://doi.org/10.1016/j.advwatres.2017.10.036
Dual virtual element method in presence of an inclusion
Andrea Villa, Luca Barbieri, Marco Gondola, Andres R. Leon-Garzon and Roberto Malgesini Journal of Computational Physics 345 687 (2017) https://doi.org/10.1016/j.jcp.2017.05.045
Mixed Virtual Elements for discrete fracture network simulations
CVD-MPFA full pressure support, coupled unstructured discrete fracture–matrix Darcy-flux approximations
Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal Journal of Computational Physics 349 265 (2017) https://doi.org/10.1016/j.jcp.2017.07.041
Parallel numerical modeling of hybrid-dimensional compositional non-isothermal Darcy flows in fractured porous media
Mimetic finite difference approximation of flows in fractured porous media
Paola F. Antonietti, Luca Formaggia, Anna Scotti, Marco Verani and Nicola Verzott ESAIM: Mathematical Modelling and Numerical Analysis 50(3) 809 (2016) https://doi.org/10.1051/m2an/2015087
An upscaling procedure for fractured reservoirs with embedded grids
Alessio Fumagalli, Luca Pasquale, Stefano Zonca and Stefano Micheletti Water Resources Research 52(8) 6506 (2016) https://doi.org/10.1002/2015WR017729
Nitsche’s extended finite element method for a fracture model in porous media
Numerical modeling of two-phase fluid flow in deformable fractured porous media using the extended finite element method and an equivalent continuum model
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model
Raheel Ahmed, Michael G. Edwards, Sadok Lamine, Bastiaan A.H. Huisman and Mayur Pal Journal of Computational Physics 303 470 (2015) https://doi.org/10.1016/j.jcp.2015.10.001
An Efficient XFEM Approximation of Darcy Flows in Arbitrarily Fractured Porous Media
Alessio Fumagalli and Anna Scotti Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 555 (2014) https://doi.org/10.2516/ogst/2013192
A Two-Phase Flow Simulation of Discrete-Fractured Media using Mimetic Finite Difference Method
A reduced model for Darcy’s problem in networks of fractures
Luca Formaggia, Alessio Fumagalli, Anna Scotti and Paolo Ruffo ESAIM: Mathematical Modelling and Numerical Analysis 48(4) 1089 (2014) https://doi.org/10.1051/m2an/2013132
On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
Stefano Berrone, Sandra Pieraccini and Stefano Scialò SIAM Journal on Scientific Computing 35(2) A908 (2013) https://doi.org/10.1137/120882883
A numerical method for two-phase flow in fractured porous media with non-matching grids
Forchheimer’s correction in modelling flow and transport in fractured porous media
Alfio Grillo, Dmitriy Logashenko, Sabine Stichel and Gabriel Wittum Computing and Visualization in Science 15(4) 169 (2012) https://doi.org/10.1007/s00791-013-0208-1
An unfitted interface penalty method for the numerical approximation of contrast problems