2 citations · 4 across the 10 of their papers we have counts for
10 papers
A second-order structure- and positivity-preserving convex limiting method for the Vlasov equations
Katharina Kormann, Murtazo Nazarov, Junjie Wen
In this paper, we introduce a novel second-order, positivity-preserving finite element method for the Vlasov equations using a convex limiting algorithm. The method employs strong-…
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…
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…
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…
A split-step Active Flux method for the Vlasov-Poisson system
Lukas Hensel, Gudrun Grünwald, Katharina Kormann +1
Active Flux is a modified Finite Volume method that evolves additional Degrees of Freedom for each cell that are located on the interface by a non-conservative method to compute hi…
Convergence of splitting methods on rotating grids for the magnetized Vlasov equation
Nils Schild, Mario Raeth Klaus Hallatschek, Katharina Kormann
Semi-Lagrangian solvers for the Vlasov system offer noiseless solutions compared to Lagrangian particle methods and can handle larger time steps compared to Eulerian methods. In or…
Simulation of ion temperature gradient driven modes with 6D kinetic Vlasov code
Mario Raeth, Klaus Hallatschek, Katharina Kormann
With the increase in computational capabilities over the last years it becomes possible to simulate more and more complex and accurate physical models. Gyrokinetic theory has been…