21 citations · 79 across the 17 of their papers we have counts for
7 papers · 1 filter
Symmetric structure-preserving discretization of N-phase incompressible fluid mixtures with arbitrary density ratios
M. F. P. ten Eikelder, A. Brunk
Diffuse-interface models are a widely used framework for interfacial dynamics in complex fluids, in which interfaces are represented through smooth transition layers and capillary…
Constraints for eliminating the Gibbs phenomenon in finite element approximation spaces
M. ten Eikelder, S. Stoter, Y. Bazilevs +1
One of the major challenges in finite element methods is the mitigation of spurious oscillations near sharp layers and discontinuities known as the Gibbs phenomenon. In this articl…
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…
An acoustic-convective splitting-based approach for the Kapila two-phase flow model
M. ten Eikelder, F. Daude, B. Koren +1
In this paper we propose a new acoustic-convective splitting-based numerical scheme for the Kapila five-equation two-phase flow model. The splitting operator decouples the acoustic…
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…