Our SFB 1313 doctoral researcher Samuel Burbulla and principal investigator Christian Rohde published the article "A Fully Conforming Finite Volume Approach to Two-Phase Flow in Fractured Porous Media" (pp. 547-555) in the Springer book "Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples"*. The book is a part of the Springer Proceedings in Mathematics & Statistics book series (FVCA 9, Volume 323).
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.
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* Klöfkorn, R., Keilegavlen, E., Radu, F. A., Fuhrmann, J. (2020). Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 9, Volume 323, Springer Proceedings in Mathematics & Statistics, Bergen (Norway), 775 pages.