- document
-
Akkerman, I. (author), Meijer, J. H.A. (author), ten Eikelder, M.F.P. (author)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 and higher-continuity shape functions as employed in Isogeometric Analysis (IGA). The novel formulation combines the interior and free-surface problems in one...journal article 2020
- document
-
Akkerman, I. (author), ten Eikelder, M.F.P. (author)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 two-fluids flow with varying densities. Correct energy behavior here means that the actual energy evolution of the numerical solution matches the evolution as...journal article 2019
- document
-
ten Eikelder, M.F.P. (author), Akkerman, I. (author)This paper presents the construction of novel stabilized finite element methods in the convective–diffusive context that exhibit correct-energy behavior. Classical stabilized formulations can create unwanted artificial energy. Our contribution corrects this undesired property by employing the concepts of dynamic as well as orthogonal small...journal article 2018