126 citations · 193 across the 10 of their papers we have counts for
12 papers
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix-fracture interfaces
Francesco Bonaldi, Jérôme Droniou, Roland Masson
We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including fric…
Energy-stable discretization of two-phase flows in deformable porous media with frictional contact at matrix-fracture interfaces
Francesco Bonaldi, Jérôme Droniou, Roland Masson +1
We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures a…
Two-phase geothermal model with fracture network and multi-branch wells
Antoine Armandine Les Landes, Daniel Castanon Quiroz, Laurent Jeannin +2
This paper focuses on the numerical simulation of geothermal systems in complex geological settings. The physical model is based on two-phase Darcy flows coupling the mass conserva…
A numerical algorithm based on probing to find optimized transmission conditions
Martin J. Gander, Roland Masson, Tommaso Vanzan
Optimized Schwarz Methods (OSMs) are based on optimized transmission conditions along the interfaces between the subdomains. Optimized transmission conditions are derived at the th…
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +3
We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dim…
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +1
We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfac…
Verification benchmarks for single-phase flow in three-dimensional fractured porous media
Inga Berre, Wietse M. Boon, Bernd Flemisch +23
Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the…
Numerical analysis of a two-phase flow discrete fracture model
Jerome Droniou, Julian Hennicker, Roland Masson
We present a new model for two phase Darcy flows in fractured media, in which fractures are modelled as submanifolds of codimension one with respect to the surrounding domain (matr…
Parallel numerical modeling of hybrid-dimensional compositional non-isothermal Darcy flows in fractured porous media
Feng Xing, Roland Masson, Simon Lopez
This paper introduces a new discrete fracture model accounting for non-isothermal compositional multiphase Darcy flows and complex networks of fractures with intersecting, immersed…
Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method
V. Dolean, M. J. Gander, F. Kwok +2
For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is alm…
Parallel Vertex Approximate Gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks
Feng Xing, Roland Masson, Simon Lopez
This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding…
Gradient discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media with discontinuous pressures at the matrix fracture interfaces
K. Brenner, J. Hennicker, R. Masson +1
We investigate the discretization of Darcy flow through fractured porous media on general meshes. We consider a hybrid dimensional model, invoking a complex network of planar fract…