85 citations · 416 across the 24 of their papers we have counts for
5 papers · 1 filter
Model reduction for coupled free flow over porous media: a hybrid dimensional pore network model approach
Kilian Weishaupt, Alexandros Terzis, Ioannis Zarikos +3
Modeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier-Stokes equations is limited by the immense computational cost and is thus only f…
A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model
Timo Koch, Rainer Helmig, Martin Schneider
A new well model for one-phase flow in anisotropic porous media is introduced, where the mass exchange between well and a porous medium is modeled by spatially distributed source t…
Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity
Koondanibha Mitra, Tobias Köppl, Cornelis Johannes van Duijn +2
In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effe…
Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources
Timo Koch, Martin Schneider, Rainer Helmig +1
We present a new method for modeling tissue perfusion on the capillary scale. The microvasculature is represented by a network of one-dimensional vessel segments embedded in the ex…
Coupling Staggered-Grid and MPFA Finite Volume Methods for Free Flow/Porous-Medium Flow Problems
Martin Schneider, Kilian Weishaupt, Dennis Gläser +2
A discretization is proposed for models coupling free flow with anisotropic porous medium flow. Our approach employs a staggered grid finite volume method for the Navier-Stokes equ…