Stability and conditioning of immersed finite element methods: analysis and remedies
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …
methods over the past decade. The main focus is the analysis and the treatment of the …
High-order enforcement of jumps conditions between compressible viscous phases: An extended interior penalty discontinuous Galerkin method for sharp interface …
D Henneaux, P Schrooyen, P Chatelain… - Computer Methods in …, 2023 - Elsevier
In this paper, we develop a high-order method for the steady two-phase compressible
Navier–Stokes equations closed by generic equations of state, adapted to gas–liquid flows …
Navier–Stokes equations closed by generic equations of state, adapted to gas–liquid flows …
A stabilized Nitsche cut finite element method for the Oseen problem
We provide the numerical analysis for a Nitsche-based cut finite element formulation for the
Oseen problem, which has been originally presented for the incompressible Navier–Stokes …
Oseen problem, which has been originally presented for the incompressible Navier–Stokes …
Preconditioning immersed isogeometric finite element methods with application to flow problems
F de Prenter, CV Verhoosel… - Computer Methods in …, 2019 - Elsevier
Immersed finite element methods generally suffer from conditioning problems when cut
elements intersect the physical domain only on a small fraction of their volume. We present a …
elements intersect the physical domain only on a small fraction of their volume. We present a …
Monolithic cut finite element–based approaches for fluid‐structure interaction
Cut finite element method–based approaches toward challenging fluid‐structure interaction
(FSI) are proposed. The different considered methods combine the advantages of competing …
(FSI) are proposed. The different considered methods combine the advantages of competing …
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
In this work a Nitsche-based imposition of generalized Navier conditions on cut meshes for
the Oseen problem is presented. Other methods from literature dealing with the generalized …
the Oseen problem is presented. Other methods from literature dealing with the generalized …
[HTML][HTML] An efficient procedure for the blood flow computer simulation of patient-specific aortic dissections
R Zorrilla, E Soudah - Computers in biology and medicine, 2024 - Elsevier
In this work we present a novel methodology for the numerical simulation of patient-specific
aortic dissections. Our proposal, which targets the seamless virtual prototyping of …
aortic dissections. Our proposal, which targets the seamless virtual prototyping of …
Stabilized cut finite element methods for complex interface coupled flow problems
B Schott - 2017 - mediatum.ub.tum.de
Innovative computational methodologies for complex interface coupled flow problems are
devised in this thesis. All numerical approaches rely on the framework of cut finite element …
devised in this thesis. All numerical approaches rely on the framework of cut finite element …
A monolithic approach to fluid‐structure interaction based on a hybrid Eulerian‐ALE fluid domain decomposition involving cut elements
A novel method for complex fluid‐structure interaction (FSI) involving large structural
deformation and motion is proposed. The new approach is based on a hybrid fluid …
deformation and motion is proposed. The new approach is based on a hybrid fluid …
A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity
The focus of this contribution is the numerical treatment of interface coupled problems
concerning the interaction of incompressible fluid flow and permeable, elastic structures …
concerning the interaction of incompressible fluid flow and permeable, elastic structures …