DuMuX 3.2.0

Coltman, Edward; Ackermann, Sina; Becker, Beatrix; Blatt, Markus; Burbulla, Samuel; Class, Holger; Emmert, Simon; Flemisch, Bernd; Gläser, Dennis; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Jupe, Tim; Koch, Timo; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid Ghareh; Schneider, Martin; Seitz, Guido; Stadler, Leopold; Utz, Martin; Veyskarami, Maziar; Weinhardt, Felix; Weishaupt, Kilian; Winter, Roman

doi:10.5281/zenodo.3784768

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2021

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“…We implemented our method within the software framework DUNE [14] on the basis of the discretization module DuMu x [15] and the grid implementation dune-mmesh [12]. The grid implementation dune-mmesh is a new development and is essential for both the mixed-dimensional discretization and the moving-mesh method.…”

Section: Methodsmentioning

confidence: 99%

A Finite-Volume Moving-Mesh Method for Two-phase Flow in Fracturing Porous Media

Burbulla,

Rohde

2021

Preprint

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Flow in fractured porous media is modeled frequently by discrete fracture-matrix approaches where fractures are treated as dimensionally reduced manifolds. Generalizing earlier work we focus on twophase flow in time-dependent fracture geometries including the fracture's aperture. We present the derivation of a reduced model for immiscible two-phase flow in porous media. For the reduced model we present a fully conforming finite-volume discretization coupled with a moving-mesh method. This method permits arbitrary movement of facets of the triangulation while being fully conservative. In numerical examples we show the performance of the scheme and investigate the modeling error of the reduced model.

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Section: Methodsmentioning

confidence: 99%