Samuel Burbulla

2020

1. T. Koch et al., “DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling,” Computers & Mathematics with Applications, 2020, doi: https://doi.org/10.1016/j.camwa.2020.02.012.
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   BibTeX

   @article{KOCH2020, abstract = {We present version 3 of the open-source simulator for flow and transport processes in porous media DuMux. DuMux is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMux, version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.}, author = {Koch, Timo and Gläser, Dennis and Weishaupt, Kilian and Ackermann, Sina and Beck, Martin and Becker, Beatrix and Burbulla, Samuel and Class, Holger and Coltman, Edward and Emmert, Simon and Fetzer, Thomas and Grüninger, Christoph and Heck, Katharina and Hommel, Johannes and Kurz, Theresa and Lipp, Melanie and Mohammadi, Farid and Scherrer, Samuel and Schneider, Martin and Seitz, Gabriele and Stadler, Leopold and Utz, Martin and Weinhardt, Felix and Flemisch, Bernd}, doi = {https://doi.org/10.1016/j.camwa.2020.02.012}, issn = {0898-1221}, journal = {Computers & Mathematics with Applications}, title = {DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling}, url = {http://www.sciencedirect.com/science/article/pii/S0898122120300791}, year = 2020 }

   Link

   http://www.sciencedirect.com/science/article/pii/S0898122120300791
2. S. Burbulla and C. Rohde, “A fully conforming finite volume approach to two-phase flow in fractured porous media,” in Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Cham, 2020, pp. 547–555, doi: https://doi.org/10.1007/978-3-030-43651-3_51.
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   BibTeX

   @inproceedings{Burbulla2020, abstract = {In many natural and technical applications in porous media fluid's flow behavior is highly affected by fractures. Many approaches employ mixed-dimensional models that model thin features as dimension-reduced manifolds. Following this idea, we consider porous media where dominant heterogeneities are geometrically represented by sharp interfaces. We model incompressible two-phase flow in porous media both in the bulk porous medium and within the fractures. We present a reliable and geometrically flexible implementation of a fully conforming finite volume approach within the DUNE framework for two and three spatial dimensions. The implementation is based on the new dune-mmesh grid implementation that manages bulk and surface triangulation simultaneously. The model and the implementation are extended to handle fracture junctions. We apply our scheme to benchmark cases with complex fracture networks to show the reliability of the approach.}, address = {Cham}, author = {Burbulla, Samuel and Rohde, Christian}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, doi = {https://doi.org/10.1007/978-3-030-43651-3_51}, editor = {Klöfkorn, Robert and Keilegavlen, Eirik and Radu, Florin A. and Fuhrmann, Jürgen}, pages = {547-555}, publisher = {Springer International Publishing}, title = {A fully conforming finite volume approach to two-phase flow in fractured porous media}, url = {https://link.springer.com/chapter/10.1007%2F978-3-030-43651-3_51}, year = 2020 }

   Link

   https://link.springer.com/chapter/10.1007%2F978-3-030-43651-3_51
3. J. T. Gerstenberger, S. Burbulla, and D. Kröner, “Discontinuous Galerkin method for incompressible two-phase flows,” in Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Cham, 2020, pp. 675–683.
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   BibTeX

   @inproceedings{10.1007/978-3-030-43651-3_64, abstract = {In this contribution we present a local discontinuous Galerkin (LDG) pressure-correction scheme for the incompressible Navier--Stokes equations. The scheme does not need penalty parameters and satisfies the discrete continuity equation exactly. The scheme is especially suitable for two-phase flow when used with a piecewise-linear interface construction (PLIC) volume-of-fluid (VoF) method and cut-cell quadratures.}, address = {Cham}, author = {Gerstenberger, Janick Thomas and Burbulla, Samuel and Kröner, Dietmar}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, editor = {Klöfkorn, Robert and Keilegavlen, Eirik and Radu, Florin A. and Fuhrmann, Jürgen}, isbn = {978-3-030-43651-3}, pages = {675-683}, publisher = {Springer International Publishing}, title = {Discontinuous Galerkin method for incompressible two-phase flows}, year = 2020 }
4. I. Berre et al., “Verification benchmarks for single-phase flow in three-dimensional fractured porous media.” 2020.
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   BibTeX

   @misc{berre2020verification, archiveprefix = {arXiv}, author = {Berre, Inga and Boon, Wietse M. and Flemisch, Bernd and Fumagalli, Alessio and Gläser, Dennis and Keilegavlen, Eirik and Scotti, Anna and Stefansson, Ivar and Tatomir, Alexandru and Brenner, Konstantin and Burbulla, Samuel and Devloo, Philippe and Duran, Omar and Favino, Marco and Hennicker, Julian and Lee, I-Hsien and Lipnikov, Konstantin and Masson, Roland and Mosthaf, Klaus and Nestola, Maria Giuseppina Chiara and Ni, Chuen-Fa and Nikitin, Kirill and Schädle, Philipp and Svyatskiy, Daniil and Yanbarisov, Ruslan and Zulian, Patrick}, eprint = {2002.07005}, primaryclass = {math.NA}, title = {Verification benchmarks for single-phase flow in three-dimensional fractured porous media}, year = 2020 }