293 citations · 846 across the 35 of their papers we have counts for
38 papers
Free convection in fractured porous media: a numerical study
Arash Andrea Roknian, Anna Scotti, Alessio Fumagalli
The objective of this study is to better understand the influence of fractures on the possibility of free convection in porous media. To this aim, we introduce a mathematical model…
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…
Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media
Alessio Fumagalli, Francesco S. Patacchini
An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the…
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…
Deep learning based reduced order modeling of Darcy flow systems with local mass conservation
Wietse M. Boon, Nicola R. Franco, Alessio Fumagalli +1
We propose a new reduced order modeling strategy for tackling parametrized Partial Differential Equations (PDEs) with linear constraints, in particular Darcy flow systems in which…
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…
Mixed and multipoint finite element methods for rotation-based poroelasticity
Wietse M. Boon, Alessio Fumagalli, Anna Scotti
This work proposes a mixed finite element method for the Biot poroelasticity equations that employs the lowest-order Raviart-Thomas finite element space for the solid displacement…
Mixed Virtual Element approximation of linear acoustic wave equation
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +1
We design a Mixed Virtual Element Method for the approximated solution to the first-order form of the acoustic wave equation. In absence of external load, the semi-discrete method…
A multipoint vorticity mixed finite element method for incompressible Stokes flow
Wietse M. Boon, Alessio Fumagalli
We propose a mixed finite element method for Stokes flow with one degree of freedom per element and facet of simplicial grids. The method is derived by considering the vorticity-ve…
Uncertainty quantification for mineral precipitation and dissolution in fractured porous media
Michele Botti, Alessio Fumagalli, Anna Scotti
In this work, we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive transport model in fractured por…
Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media
Alessio Fumagalli, Francesco Saverio Patacchini
Mathematical modeling of fluid flow in a porous medium is usually described by a continuity equation and a chosen constitutive law. The latter, depending on the problem at hand, ma…
A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes
Wietse M. Boon, Alessio Fumagalli
A solution technique is proposed for flows in porous media that guarantees local conservation of mass. We first compute a flux field to balance the mass source and then exploit exa…
Bend 3d Mixed Virtual Element Method for Elliptic Problems
Franco Dassi, Alessio Fumagalli, Anna Scotti +1
In this study, we propose a virtual element scheme to solve the Darcy problem in three physical dimensions. The main novelty, here proposed, is that curved elements are naturally h…
A Virtual Element Method for the wave equation on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Ilario Mazzieri +2
In this work we present an extension of the Virtual Element Method with curved edges for the numerical approximation of the second order wave equation in a bidimensional setting. C…
Model adaptation in a discrete fracture network: existence of solutions and numerical strategies
Alessio Fumagalli, Francesco Saverio Patacchini
Fractures are normally present in the underground and are, for some physical processes, of paramount importance. Their accurate description is fundamental to obtain reliable numeri…
The mixed virtual element method for grids with curved interfaces
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In many applications the accurate representation of the computational domain is a key factor to obtain reliable and effective numerical solutions. Curved interfaces, which might be…
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.…
The Mixed Virtual Element Method on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements. The approximation by means of…
A mathematical model for thermal single-phase flow and reactive transport in fractured porous media
Alessio Fumagalli, Anna Scotti
In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of…
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…
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…
Reactive flow in fractured porous media
Alessio Fumagalli, Anna Scotti
In this work we present a model reduction procedure to derive a hybrid-dimensional framework for the mathematical modeling of reactive transport in fractured porous media. Fracture…
PorePy: An Open-Source Software for Simulation of Multiphysics Processes in Fractured Porous Media
Eirik Keilegavlen, Runar Berge, Alessio Fumagalli +4
Development of models and dedicated numerical methods for dynamics in fractured rocks is an active research field, with research moving towards increasingly advanced process coupli…