DOI: 10.18419/darus-3227
title: Replication Data for: Flow in Porous Media with Fractures of Varying Aperture

description: This data set contains the simulation data for the results presented in [S. Burbulla, M. Hörl, and C. Rohde (2022). "Flow in Porous Media with Fractures of Varying Aperture." Submitted for publication, &lt;a href="
https://doi.org/10.48550/arXiv.2207.09301"&gt;
https://doi.org/10.48550/arXiv.2207.09301&lt;/a&gt;]. &lt;br&gt;&lt;br&gt;

We consider the numerical solutions of single-phase fluid flow governed by Darcy's law in a fractured porous medium for four different scenarios. For each scenario, we provide the raw vtk-files (*.vtu and *.vtp) of the pressure field for different values of the fracture aperture and for discontinuous Galerkin discretizations of four different discrete fracture models and one full-dimensional reference model. These files can be reproduced by running the script &lt;i&gt;main_comparison.py&lt;/i&gt; of the corresponding source code (see [S. Burbulla, M. Hörl, C. Rohde (2022). "Source Code for: Flow in Porous Media with Fractures of Varying Aperture", &lt;a href="https://doi.org/10.18419/darus-3012"&gt;https://doi.org/10.18419/darus-3012&lt;/a&gt;, DaRUS.]). Moreover, we provide visualizations (*.pdf) of the simulation results for each scenario that can be reproduced by running the script &lt;i&gt;plot_comparison.py&lt;/i&gt; which is part of the corresponding source code. This includes, for each value of the fracture aperture, a visualization of the full-dimensional reference pressure and velocity, as well as a plot of the effective fracture pressure and the corresponding absolute error (compared to the full-dimensional reference solution) for the different discrete models. In addition, the L2-error of the effective fracture pressure is plotted as function of the fracture aperture for the different reduced models.&lt;br&gt;&lt;br&gt;

&lt;b&gt;Scenario 1a&lt;/b&gt; (&lt;i&gt;section-6.1.1.tar.gz&lt;/i&gt;): Flow perpendicular to a sinusoidal fracture with constant total aperture (two-dimensional). &lt;br&gt; 
&lt;b&gt;Scenario 1b&lt;/b&gt; (&lt;i&gt;section-6.1.2.tar.gz&lt;/i&gt;): Flow perpendicular to a sinusoidal fracture with constant total aperture (three-dimensional). &lt;br&gt; 
&lt;b&gt;Scenario 2&lt;/b&gt; (&lt;i&gt;section-6.2.tar.gz&lt;/i&gt;): Flow perpendicular to an axisymmetric sinusoidal fracture (two-dimensional). &lt;br&gt; 
&lt;b&gt;Scenario 3&lt;/b&gt; (&lt;i&gt;section-6.3.tar.gz&lt;/i&gt;): Tangential flow through an axisymmetric sinusoidal fracture (two-dimensional). &lt;br&gt;&lt;br&gt; 

A detailed description of the different scenarios can be found in Section 6 in [S. Burbulla, M. Hörl, and C. Rohde (2022). "Flow in Porous Media with Fractures of Varying Aperture." Submitted for publication, &lt;a href="
https://doi.org/10.48550/arXiv.2207.09301"&gt;
https://doi.org/10.48550/arXiv.2207.09301&lt;/a&gt;].
description: <b>Source code</b>: S. Burbulla, M. Hörl, C. Rohde (2022). "Source Code for: Flow in Porous Media with Fractures of Varying Aperture", https://doi.org/10.18419/darus-3012, DaRUS.

<b>Please also cite</b>:
S. Burbulla, M. Hörl, and C. Rohde (2022). "Flow in Porous Media with Fractures of Varying Aperture." Submitted for publication, https://doi.org/10.48550/arXiv.2207.09301.
S. Burbulla et al. (2022). “Dune-MMesh: The Dune Grid Module for Moving Interfaces,” J. Open Source Softw. 7 (74), https://doi.org/10.21105/joss.03959.
P. Bastian et al. (2021). "The DUNE framework: Basic concepts and recent developments", Comput. Math. Appl. 81, pp. 75-112, https://doi.org/10.1016/j.camwa.2020.06.007.