3 citations · 4 across the 5 of their papers we have counts for
21 papers
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the poro…
Towards Hybrid Two-Phase Modelling Using Linear Domain Decomposition
David Seus, Florin A. Radu, Christian Rohde
The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be a…
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media
Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
In this paper, we develop a discretization for the non-linear coupled model of classical Darcy-Forchheimer flow in deformable porous media, an extension of the quasi-static Biot eq…
Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media
Davide Illiano, Jakub Wiktor Both, Iuliu Sorin Pop +1
We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flo…
Iterative splitting schemes for a soft material poromechanics model
Jakub W. Both, Nicolas A. Barnafi, Florin A. Radu +2
We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering t…
Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media (extended version)
Nicolae Suciu, Davide Illiano, Alexander Prechtel +1
In this article, we present new random walk methods to solve flow and transport problems in unsaturated/saturated porous media, including coupled flow and transport processes in so…