126 citations · 192 across the 7 of their papers we have counts for
9 papers
The limitations of a standard phase-field model in reproducing jointing in sedimentary rock layers
Edoardo Pezzulli, Patrick Zulian, Alena Kopaničáková +2
Geological applications of phase-field methods for fracture are notably scarce. This work conducts a numerical examination of the applicability of standard phase-field models in re…
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…
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…
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…
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology
Seif Ben Bader, Pietro Benedusi, Alessio Quaglino +2
We present a novel approach aimed at high-performance uncertainty quantification for time-dependent problems governed by partial differential equations. In particular, we consider…
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…
Contact between rough rock surfaces using a dual mortar method
Cyrill von Planta, Daniel Vogler, Patrick Zulian +2
The mechanical behavior of fractures in solids, such as rocks, has strong implications for reservoir engineering applications. Deformations, and the corresponding change in solid c…
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…
Scalable hierarchical PDE sampler for generating spatially correlated random fields using non-matching meshes
Sarah Osborn, Patrick Zulian, Thomas Benson +3
This work describes a domain embedding technique between two non-matching meshes used for generating realizations of spatially correlated random fields with applications to large-s…