This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

We present version 3 of the open-source simulator for flow and transport processes in
porous media DuMu x. DuMu x is based on the modular C++ framework Dune (Distributed …

Abstract The Open Porous Media (OPM) initiative is a community effort that encourages
open innovation and reproducible research for simulation of porous media processes. OPM …

Hardware trends over the last decade show increasing complexity and heterogeneity in high
performance computing architectures, which presents developers of CFD applications with …

The storage of hydrogen in underground reservoirs comprises a potential solution for
balancing the fluctuating energy production from wind and solar power plants. In this …

DuMux is a free and open-source simulator for flow and transport processes in porous
media, based on the Distributed and Unified Numerics Environment (DUNE). Its main …

This paper summarises the results of a benchmark study that compares a number of
mathematical and numerical models applied to specific problems in the context of carbon …

In a companion paper (Bastian et al. 2007, this issue) we introduced an abstract definition of
a parallel and adaptive hierarchical grid for scientific computing. Based on this definition we …

We present a number of test cases and meshes that were designed as a benchmark for
numerical schemes dedicated to the approximation of three-dimensional anisotropic and …