activity
20182024
most citedVerification benchmarks for single-phase flow in three-dimensional fractured porous media

126 citations · 209 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2024

Integrating Additive Multigrid with Multipreconditioned Conjugate Gradient Method

Hardik Kothari, Maria Giuseppina Chiara Nestola, Marco Favino +1

Due to its optimal complexity, the multigrid (MG) method is one of the most popular approaches for solving large-scale linear systems arising from the discretization of partial dif…

math.NA2020

A novel equi-dimensional finite element method for flow and transport in fractured porous media satisfying discrete maximum principle and conservation properties

Maria Giuseppina Chiara Nestola, Marco Favino

Numerical simulations of flow and transport in porous media usually rely on hybrid-dimensional models, i.e., the fracture is considered as objects of a lower dimension compared to…

physics.comp-ph2020

Comparison and Application of non-Conforming Mesh Models for Flow in Fractured Porous Media using dual {L}agrange multipliers

Patrick Zulian, Philipp Schädle, Liudmila Karagyaur +1

Geological settings with reservoir characteristics include fractures with different material and geometrical properties. Hence, numerical simulations in applied geophysics demands…

physics.comp-ph2020★ 12 cited

Large scale simulation of pressure induced phase-field fracture propagation using Utopia

Patrick Zulian, Alena Kopaničáková, Maria Giuseppina Chiara Nestola +4

Non-linear phase field models are increasingly used for the simulation of fracture propagation models. The numerical simulation of fracture networks of realistic size requires the…

math.NA2020★ 126 cited

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

Inga Berre, Wietse M. Boon, Bernd Flemisch +23

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…

physics.comp-ph2020★ 6 cited

Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators

Cyrill von Planta, Daniel Vogler, Xiaoqing Chen +3

Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture sur…

physics.geo-ph2019★ 52 cited

3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers

Philipp Schädle, Patrick Zulian, Daniel Vogler +5

This work presents a modeling approach for single-phase flow in 3D fractured porous media with non-conforming meshes. To this end, a Lagrange multiplier method is combined with a p…

physics.geo-ph2018★ 12 cited

Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators

Cyrill von Planta, Daniel Vogler, Xiaoqing Chen +3

Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-r…

physics.comp-ph2018★ 1 cited

An immersed boundary method for fluid-structure interaction based on overlapping domain decomposition

Maria Giuseppina Chiara Nestola, Barna Becsek, Hadi Zolfaghari +4

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high R…