Case1 - Single Fracture

This dataset contains results related to the benchmark case 1 as described in detail in the publication<br><br>

I. Berre, W. Boon, B. Flemisch, A. Fumagalli, D. Gläser, E. Keilegavlen, A. Scotti, I. Stefansson, and A. Tatomir.
Call for participation: Verification benchmarks for single-phase flow in three-dimensional fractured porous media,
arXiv e-prints, art. <a href="https://arxiv.org/abs/1809.06926">arXiv:1809.06926</a>, 2018<br><br>

The dataset is structured in sub-folders, namely "ustutt-mpfa" and "reference". The first contains the results obtained with the mpfa scheme available in the open-source simulator <a href="https://dumux.org/">Dumux</a>. These results are presented in the publication <br><br>

Inga Berre, Wietse M. Boon, Bernd Flemisch, Alessio Fumagalli, Dennis Gläser, Eirik Keilegavlen, Anna Scotti, Ivar Stefansson, Alexandru Tatomir, Konstantin Brenner, Samuel Burbulla, Philippe Devloo, Omar Duran, Marco Favino, Julian Hennicker, I-Hsien Lee, Konstantin Lipnikov, Roland Masson, Klaus Mosthaf, Maria Giuseppina Chiara Nestola, Chuen-Fa Ni, Kirill Nikitin, Philipp Schädle, Daniil Svyatskiy, Ruslan Yanbarisov and Patrick Zulian.
Verification benchmarks for single-phase flow in three-dimensional fractured porous media,
arXiv e-prints, art. <a href="https://arxiv.org/abs/2002.07005">arXiv:2002.07005</a>, 2020<br><br>

The folder "reference" contains a reference solution, obtained from a simulation on a finer mesh as specified in the publication. The corresponding mesh can be found in the file "reference/single_500k.msh".<br><br>

Both folders contain a sub-folder "vtk", which contains the results for each time step of the simulation in .vtu format, and which can be visualized with the open-source software <a href="https://www.paraview.org">ParaView</a>. The .pvd files allow for visualization of sets of .vtu files together with time information. The .vtu files are organized as follows: the files with *_onep_* in the file names contain the pressure solution, while those with *_tracer_* contain the solution for the tracer concentration. In the folder "ustutt-mpfa", results are available for three refinements, indicated in the filenames by *_0*, *_1* and *_2*.

The files "dofs.csv" contain the number of degrees of freedom of a simulation as specified in Section 5.4, and the files "dataovertime_*" the concentration results over time as described in Section 4.1 of the <b>Call for participation</b> (reference above), respectively.

The results can be reproduced by getting the source code to the Dumux implementation of this test case from <a href="https://git.iws.uni-stuttgart.de/dumux-pub/berre2019a">https://git.iws.uni-stuttgart.de/dumux-pub/berre2019a</a>. Installation and execution instructions can be found therein.