3 papers
math.NA2024
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…
math.NA2024
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…
math.NA2024
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…