High–order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations
We present a comprehensive review of the current development of discontinuous Galerkin
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
methods on polytopic grids (PolyDG) methods for geophysical applications, addressing as …
Unified approach to discretization of flow in fractured porous media
In this paper, we introduce a mortar-based approach to discretizing flow in fractured porous
media, which we term the mixed-dimensional flux coupling scheme. Our formulation is …
media, which we term the mixed-dimensional flux coupling scheme. Our formulation is …
Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids
We present a numerical approximation of Darcy's flow through a fractured porous medium
which employs discontinuous Galerkin methods on polytopic grids. For simplicity, we …
which employs discontinuous Galerkin methods on polytopic grids. For simplicity, we …
Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations
Simulations of fluid flow in naturally fractured rocks have implications for several subsurface
applications, including energy storage and extraction, and waste disposal. We are interested …
applications, including energy storage and extraction, and waste disposal. We are interested …
A hybrid high-order method for Darcy flows in fractured porous media
We develop a novel Hybrid High-Order method for the simulation of Darcy flows in fractured
porous media. The discretization hinges on a mixed formulation in the bulk region and a …
porous media. The discretization hinges on a mixed formulation in the bulk region and a …
[HTML][HTML] A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media
Accurate simulation of fluid flow and transport in fractured porous media is a key challenge
in subsurface reservoir engineering. Due to the high ratio between its length and width …
in subsurface reservoir engineering. Due to the high ratio between its length and width …
Dual virtual element methods for discrete fracture matrix models
The accurate description of fluid flow and transport in fractured porous media is of
paramount importance to capture the macroscopic behavior of an oil reservoir, a geothermal …
paramount importance to capture the macroscopic behavior of an oil reservoir, a geothermal …
[HTML][HTML] Flow in porous media with low dimensional fractures by employing enriched Galerkin method
This paper presents the enriched Galerkin discretization for modeling fluid flow in fractured
porous media using the mixed-dimensional approach. The proposed method has been …
porous media using the mixed-dimensional approach. The proposed method has been …
[HTML][HTML] A virtual element method for the miscible displacement of incompressible fluids in porous media
In the present contribution, we construct a virtual element (VE) discretization for the problem
of miscible displacement of one incompressible fluid by another, described by a time …
of miscible displacement of one incompressible fluid by another, described by a time …
A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures
M Köppel, V Martin, JE Roberts - GEM-International Journal on …, 2019 - Springer
In this work we introduce a stabilized, numerical method for a multidimensional, discrete-
fracture model (DFM) for single-phase Darcy flow in fractured porous media. In the model …
fracture model (DFM) for single-phase Darcy flow in fractured porous media. In the model …