206 citations · 313 across the 9 of their papers we have counts for
10 papers
A DuMux Framework for Data-Driven Multi-Scale Parametrizations
Edward Coltman, Martin Schneider, Rainer Helmig
Presented in this work is a framework for the data-driven determination of multi-scale porous media parametrizations. Simulations of flow and transport in a porous medium at the RE…
Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems
Martin Schneider, Dennis Gläser, Kilian Weishaupt +3
In this work, a new discretization approach for coupled free and porous-medium flows is introduced, which uses a finite volume staggered-grid method for the discretization of the N…
Nonlinear mixed-dimension model for embedded tubular networks with application to root water uptake
Timo Koch, Hanchuan Wu, Martin Schneider
We present a numerical scheme for the solution of nonlinear mixed-dimensional PDEs describing coupled processes in embedded tubular network system in exchange with a bulk domain. S…
A Surrogate-Assisted Uncertainty-Aware Bayesian Validation Framework and its Application to Coupling Free Flow and Porous-Medium Flow
Farid Mohammadi, Elissa Eggenweiler, Bernd Flemisch +4
Existing model validation studies in geoscience often disregard or partly account for uncertainties in observations, model choices, and input parameters. In this work, we develop a…
Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media
Dennis Gläser, Martin Schneider, Bernd Flemisch +1
Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substa…
DuMu 3 -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling
Timo Koch, Dennis Gläser, Kilian Weishaupt +21
We present version 3 of the open-source simulator for flow and transport processes in porous media DuMu. DuMu is based on the modular C++ framework Dune (Dist…
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…
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…
Operator splitting technique using streamline projection for two-phase flow in highly heterogeneous and anisotropic porous media
Ettore Vidotto, Martin Schneider, Rainer Helmig +1
In this paper, we present a fast streamline-based numerical method for the two-phase flow equations in high-rate flooding scenarios for incompressible fluids in heterogeneous and a…