Dennis Gläser

TL;DR: The underlying mathematical model, an overview of the features of the participating numerical methods, and their performance in solving the benchmark cases for single-phase flow in three-dimensional fractured porous media are presented.

TL;DR: version 3 of the open-source simulator for flow and transport processes in porous media DuMu introduces a more consistent abstraction of finite volume schemes and a new framework for multi-domain simulations.

TL;DR: In this article, a discrete fracture model on the basis of a cell-centered finite volume scheme with multi-point flux approximation (MPFA) is presented, where fractures are included in a d-dimensional computational domain as (d − 1 )-dimensional entities living on the element facets, which requires the grid to have the element facet aligned with the fracture geometries.

TL;DR: The Zusammenfassung XXV Zusammmen-Fassung (ZFZ) as mentioned in this paper has been used in this paper since 2011.http://www.zusammensammelfassung.org/

TL;DR: An abstract discretization framework is presented and it is demonstrated that various cell-centered and hybrid finite-volume schemes fit into it, and that linear schemes are in general neither positivity-preserving nor satisfy discrete minimum or maximum principles.