93 citations · 214 across the 12 of their papers we have counts for
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Predicting nonlinear-flow regions in highly heterogeneous porous media using adaptive constitutive laws and neural networks
Chiara Giovannini, Alessio Fumagalli, Francesco Patacchini
In a porous medium featuring heterogeneous permeabilities, a wide range of fluid velocities may be recorded, so that significant inertial and frictional effects may arise in high-s…
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…
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…
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…