7 citations · 7 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
An Extended Discontinuous Galerkin Method for High-Order Shock-Fitting
Markus Geisenhofer, Florian Kummer, Martin Oberlack
We present a sub-cell accurate shock-fitting technique using a high-order extended discontinuous Galerkin (XDG) method, where a computational cell of the background grid is cut int…
On a marching level-set method for extended discontinuous Galerkin methods for incompressible two-phase flows
Martin Smuda, Florian Kummer
In this work a solver for instationary two-phase flows on the basis of the extended Discontinuous Galerkin (extended DG/XDG) method is presented. The XDG method adapts the approxim…
BoSSS: a package for multigrid extended discontinuous Galerkin methods
Florian Kummer, Martin Smuda, Jens Weber
The software package BoSSS serves the discretization of (steady-state or time-dependent) partial differential equations with discontinuous coefficients and/or time-dependent domain…
Capillary Rise -- A Computational Benchmark for Wetting Processes
D. Gründing, M. Smuda, T. Antritter +6
Four different numerical approaches are compared for the rise of liquid between two parallel plates. These are an Arbitrary Lagrangian-Eulerian method (OpenFOAM solver interTrackFo…