43 citations · 60 across the 10 of their papers we have counts for
12 papers
Comparative study of different quadrature methods for cut elements
Michael Loibl, Guilherme H. Teixeira, Teoman Toprak +5
The quadrature of cut elements is crucial for all Finite Element Methods that do not apply boundary-fitted meshes. It should be efficient, accurate, and robust. Various approaches…
Wetting simulation of the porous structure of a heat pipe using an eXtended Discontinuous Galerkin Method and a Parameterized Level-Set
Irina Shishkina, Matthias Rieckmann, Martin Oberlack +1
We perform high-order simulations of two-phase flows in capillaries, with and without evaporation. Since a sharp-interface model is used, singularities can arise at the three-phase…
Cell agglomeration strategy for cut cells in eXtended discontinuous Galerkin methods
Muhammed Toprak, Matthias Rieckmann, Florian Kummer
In this work, a cell agglomeration strategy for the cut cells arising in the extended discontinuous Galerkin (XDG) method is presented. Cut cells are a fundamental aspect of unfitt…
An extended discontinuous Galerkin shock tracking method
Jakob Vandergrift, Florian Kummer
In this paper, we introduce a novel high-order shock tracking method and provide a proof of concept. Our method leverages concepts from implicit shock tracking and extended discont…
Coupling OpenFOAM(R) with BoSSS, a discontinuous Galerkin solver written in C#
Dario Klingenberg, Hrvoje Jasak, Holger Marschall +1
In this article, we present the foam-dg project, which provides a bridge between OpenFOAM(R) and the high-order DG (discontinuous Galerkin) framework BoSSS. Thanks to the flexibili…
High-Order Numerical Integration on Domains Bounded by Intersecting Level Sets
Lauritz Beck, Florian Kummer
We present a high-order method that provides numerical integration on volumes, surfaces, and lines defined implicitly by two smooth intersecting level sets. To approximate the inte…