A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes

Autor: Wietse M. Boon, Alessio Fumagalli

A solution technique is proposed for flows in porous media that guarantees local conservation of mass. We first compute a flux field to balance the mass source and then exploit exact co-chain complexes to generate a solenoidal correction. A reduced b

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Flux-mortar mixed finite element methods with multipoint flux approximation

Autor: Wietse M. Boon, Dennis Gläser, Rainer Helmig, Ivan Yotov

The flux-mortar mixed finite element method was recently developed for a general class of domain decomposition saddle point problems on non-matching grids. In this work we develop the method for Darcy flow using the multipoint flux approximation as t

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Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers

Autor: Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier

In this paper we advance the analysis of discretizations for a fluid-structure interaction model of the monolithic coupling between the free flow of a viscous Newtonian fluid and a deformable porous medium separated by an interface. A five-field mixe

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Stable mixed finite elements for linear elasticity with thin inclusions

Autor: Wietse M. Boon, Jan Martin Nordbotten

Publikováno v: Computational Geosciences

We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of hierarchically conn

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https://hdl.handle.net/11250/2766858

Verification benchmarks for single-phase flow in three-dimensional fractured porous media

Autor: I-Hsien Lee, Ivar Stefansson, Samuel Burbulla, Bernd Flemisch, Kirill Nikitin, Wietse M. Boon, Maria Giuseppina Chiara Nestola, Eirik Keilegavlen, Omar Durán, Dennis Gläser, Philipp Schädle, Konstantin Lipnikov, Patrick Zulian, Klaus Mosthaf, Roland Masson, Alexandru Tatomir, Anna Scotti, Daniil Svyatskiy, Ruslan M. Yanbarisov, Marco Favino, Inga Berre, Julian Hennicker, Konstantin Brenner, Philippe R.B. Devloo, Chuen Fa Ni, Alessio Fumagalli

Publikováno v: Advances in Water Resources
Advances in Water Resources, Elsevier, 2020, ⟨10.1016/j.advwatres.2020.103759⟩
Advances in Water Resources, 2020, ⟨10.1016/j.advwatres.2020.103759⟩
Berre, I, Boon, W M, Flemisch, B, Fumagalli, A, Gläser, D, Keilegavlen, E, Scotti, A, Stefansson, I, Tatomir, A, Brenner, K, Burbulla, S, Devloo, P, Duran, O, Favino, M, Hennicker, J, Lee, I-H, Lipnikov, K, Masson, R, Mosthaf, K, Nestola, M G C, Ni, C-F, Nikitin, K, Schädle, P, Svyatskiy, D, Yanbarisov, R & Zulian, P 2021, ' Verification benchmarks for single-phase flow in three-dimensional fractured porous media ', Advances in Water Resources, vol. 147, 103759 . https://doi.org/10.1016/j.advwatres.2020.103759

International audience; Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development

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