6 papers
A Comparison of Active Flux Methods for the Vlasov-Poisson System
Lukas Hensel, Yanick Kiechle, Rainer Grauer +3
Active Flux is a third-order accurate, fairly novel finite volume method for hyperbolic conservation laws that is becoming increasingly popular. It evolves additional nodal degrees…
Positivity-preserving dynamical low-rank methods for the Vlasov equation
Katharina Kormann, Murtazo Nazarov, Junjie Wen
In this manuscript, we introduce positivity-preserving correction methods for low-rank approximations of the Vlasov equation. The key idea is to formulate structural properties, in…
Solving the six-dimensional Vlasov-Maxwell System with Active Flux and Splitting Methods
G. Grünwald, L. Hensel, M. Deisenhofer +3
Active Flux (AF) is a modified Finite Volume method that evolves additional Degrees of Freedom (DoF) located on the cell interfaces to compute high-order approximations to the nume…
Synthetic Turbulence via an Instanton Gas Approximation
Timo Schorlepp, Katharina Kormann, Jeremiah Lübke +2
Sampling synthetic turbulent fields as a computationally tractable surrogate for direct numerical simulations (DNS) is an important practical problem in various applications, and a…
Optimal Landau-type closure parameters for two-fluid simulations of plasma turbulence at kinetic scales
Simon Lautenbach, Jeremiah Lübke, Maria Elena Innocenti +2
Two fluid simulations using local Landau-fluid closures derived from linear theory provide an efficient computational framework for plasma modelling, since they bridge the gap betw…
A structure-preserving finite element framework for the Vlasov-Maxwell system
Katharina Kormann, Murtazo Nazarov, Junjie Wen
We present a stabilized, structure-preserving finite element framework for solving the Vlasov-Maxwell equations. The method uses a tensor product of continuous polynomial spaces fo…