53 citations · 125 across the 11 of their papers we have counts for
11 papers
A space-time framework for periodic flows with applications to hydrofoils
J. Lotz, M. ten Eikelder, I. Akkerman
In this paper we propose a space-time framework for the computation of periodic flows. We employ the isogeometric analysis framework to achieve higher-order smoothness in both spac…
A monolithic Finite Element formulation for the hydroelastic analysis of Very Large Floating Structures
Oriol Colomés, Francesc Verdugo, Ido Akkerman
In this work we present a novel monolithic Finite Element Method (FEM) for the hydroelastic analysis of Very Large Floating Structures (VLFS) with arbitrary shapes that is stable,…
A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities
M. ten Eikelder, K. van der Zee, I. Akkerman +1
Over the last decades, many diffuse-interface Navier-Stokes Cahn-Hilliard models with non-matching densities have appeared in the literature. These models claim to describe the sam…
Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model
Stein K. F. Stoter, Marco F. P. ten Eikelder, Frits de Prenter +4
We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of proj…
An energy-dissipative level-set method for the incompressible two-phase Navier-Stokes equations with surface tension using functional entropy variables
M. ten Eikelder, I. Akkerman
This paper presents the first energy-dissipative level-set method for the incompressible Navier-Stokes equations with surface tension. The methodology relies on the recently propos…
Isogeometric analysis of linear free-surface potential flow
I. Akkerman, J. H. A. Meijer, M. ten Eikelder
This paper presents a novel variational formulation to simulate linear free-surface flow. The variational formulation is suitable for higher-order finite elements and higher-order…
dS Supergravity from 10d
Renata Kallosh, Timm Wrase
We consider flux compactification of type II string theory with local sources on SU(3)-structure manifolds. By adding pseudo-calibrated anti--branes wrapped on supersymmetric c…
Monotone level-sets on arbitrary meshes without redistancing
Ido Akkerman
In this paper we present approaches that address two issues that can occur when the level-set method is used to simulate two-fluid flows in engineering practice. The first issue co…
Toward free-surface flow simulations with correct energy evolution: an isogeometric level-set approach with monolithic time-integration
I. Akkerman, M. ten Eikelder
This paper presents a new monolithic free-surface formulation that exhibits correct kinetic and potential energy behavior. We focus in particular on the temporal energy behavior of…
Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. II: The incompressible Navier-Stokes equations
M. Ten Eikelder, I. Akkerman
This paper presents the construction of a correct-energy stabilized finite element method for the incompressible Navier-Stokes equations. The framework of the methodology and the c…
Correct energy evolution of stabilized formulations: The relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective-diffusive context
M. ten Eikelder, I. Akkerman
This paper presents the construction of novel stabilized finite element methods in the convective-diffusive context that exhibit correct-energy behavior. Classical stabilized formu…