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20182024
most citedCoupling Staggered-Grid and MPFA Finite Volume Methods for Free Flow/Porous-Medium Flow Problems

33 citations · 94 across the 11 of their papers we have counts for

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6 papers · 1 filter

math.NA2024

An extension of the box method discrete fracture model (Box-DFM) to include low-permeable barriers with minimal additional degrees of freedom

Ziyao Xu, Dennis Gläser

The box method discrete fracture model (Box-DFM) is an important finite volume-based discrete fracture model (DFM) to simulate flows in fractured porous media. In this paper, we in…

math.NA2024★ 4 cited

A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy

Wietse M. Boon, Dennis Gläser, Rainer Helmig +2

A discretization method with non-matching grids is proposed for the coupled Stokes-Darcy problem that uses a mortar variable at the interface to couple the marker and cell (MAC) me…

math.NA2022★ 4 cited

Flux-mortar mixed finite element methods with multipoint flux approximation

Wietse M. Boon, Dennis Gläser, Rainer Helmig +1

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…

math.NA2021★ 1 cited

Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems

Martin Schneider, Dennis Gläser, Kilian Weishaupt +3

In this work, a new discretization approach for coupled free and porous-medium flows is introduced, which uses a finite volume staggered-grid method for the discretization of the N…

math.NA2019★ 33 cited

Coupling Staggered-Grid and MPFA Finite Volume Methods for Free Flow/Porous-Medium Flow Problems

Martin Schneider, Kilian Weishaupt, Dennis Gläser +2

A discretization is proposed for models coupling free flow with anisotropic porous medium flow. Our approach employs a staggered grid finite volume method for the Navier-Stokes equ…

math.NA2018★ 12 cited

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

Inga Berre, Wietse Boon, Bernd Flemisch +6

This call for participation proposes four benchmark tests to verify and compare numerical schemes to solve single-phase flow in fractured porous media. With this, the two-dimension…