189 citations · 595 across the 24 of their papers we have counts for
24 papers
A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations
Dominik Still, Natalia Nebulishvili, Richard Schussnig +2
This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…
A dual grid geometric electromagnetic particle in cell method
Katharina Kormann, Eric Sonnendrücker
Geometric particle-in-cell discretizations have been derived based on a discretization of the fields that is conforming with the de Rham structure of the Maxwell's equation and a s…
A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations
Guo Meng, Katharina Kormann, Emil Poulsen +1
In this paper, we extend the geometric Particle in Cell framework on dual grids to a gauge-free drift-kinetic Vlasov--Maxwell model and its coupling with the fully kinetic model. W…
A performance portable implementation of the semi-Lagrangian algorithm in six dimensions
Nils Schild, Mario Raeth, Sebastian Eibl +2
In this paper, we describe our approach to develop a simulation software application for the fully kinetic Vlasov equation which will be used to explore physics beyond the gyrokine…
A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations
Theresa Pollinger, Johannes Rentrop, Dirk Pflüger +1
The exact numerical simulation of plasma turbulence is one of the assets and challenges in fusion research. For grid-based solvers, sufficiently fine resolutions are often unattain…
A Parallel Low-Rank Solver for the Six-Dimensional Vlasov-Maxwell Equations
Florian Allmann-Rahn, Rainer Grauer, Katharina Kormann
Continuum Vlasov simulations can be utilized for highly accurate modelling of fully kinetic plasmas. Great progress has been made recently regarding the applicability of the method…