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math.NA2022
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…
math.NA2020
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…