23 citations · 24 across the 6 of their papers we have counts for
9 papers
A hybrid upwind scheme for two-phase flow in fractured porous media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous pro…
Application of Deep Learning Reduced-Order Modeling for Single-Phase Flow in Faulted Porous Media
Enrico Ballini, Luca Formaggia, Alessio Fumagalli +2
We apply reduced-order modeling (ROM) techniques to single-phase flow in faulted porous media, accounting for changing rock properties and fault geometry variations using a radial…
A mixed-dimensional model for direct current simulations in presence of a thin high-resistivity liner
Alessio Fumagalli, Lorenzo Panzeri, Luca Formaggia +2
In this work we present a mixed-dimensional mathematical model to obtain the electric potential and current density in direct current simulations when a thin liner is included in t…
A multi-layer reactive transport model for fractured porous media
Luca Formaggia, Alessio Fumagalli, Anna Scotti
An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications.…
Numerical Methods for Flow in Fractured Porous Media
Luca Formaggia, Anna Scotti, Alessio Fumagalli
In this work we present the mathematical models for single-phase flow in fractured porous media. An overview of the most common approaches is considered, which includes continuous…
Performances of the mixed virtual element method on complex grids for underground flow
Alessio Fumagalli, Anna Scotti, Luca Formaggia
The numerical simulation of physical processes in the underground frequently entails challenges related to the geometry and/or data. The former are mainly due to the shape of sedim…
A conservative implicit multirate method for hyperbolic problems
Ludovica Delpopolo Carciopolo, Luca Bonaventura, Anna Scotti +1
This work focuses on the development of a self adjusting multirate strategy based on an implicit time discretization for the numerical solution of hyperbolic equations, that could…
High-Order method for Darcy flows in fractured porous media
Florent Chave, Daniele Di Pietro, Luca Formaggia
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 on…
The LifeV library: engineering mathematics beyond the proof of concept
Luca Bertagna, Simone Deparis, Luca Formaggia +2
LifeV is a library for the finite element (FE) solution of partial differential equations in one, two, and three dimensions. It is written in C++ and designed to run on diverse par…