SMuK 2023 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 11: Poster I

P 11.10: Poster

Mittwoch, 22. März 2023, 14:00–15:30, HSZ EG

Active Flux for Vlasov-Maxwell II: Application of the Linear Advection scheme to the Vlasov System — •Lukas Hensel, Gudrun Grünwald, and Rainer Grauer — Ruhr-Universität Bochum, Universitätsstraße 150, 44801 Bochum, Germany

The Vlasov-Maxwell system for the kinetic description of collisionless plasmas is numerically challenging due to its high dimensionality (3 dimensions in position and velocity space, respectively, plus the time) as well as the coupling of the particle trajectories to the EM-fields, resulting in extreme computational expense. Thus, there is an ongoing demand for efficient low-dissipation conservative schemes suitable for this system. The Active-Flux (AF) Method is a finite-volume method for hyperbolic conservation laws with additional degrees of freedom on the cell interfaces. It hereby allows achieving 3rd order while keeping a compact stencil in space and time.

The point values on the cell interfaces are evolved independently of the conservation update. For the Vlasov equation, being a linear transport equation, this allows for the use of non-conservative semi-Lagrangian techniques. We present first results on the application of AF to the full three-dimensional Vlasov-Poisson system. Different possible strategies for directional splitting that allows the solution of the six-dimensional equation with lower dimensional substeps are discussed. The multidimensionality of AF furthermore allows for the solution of the three-dimensional velocity space in a single steps, encouraging its future application to the relativistic Vlasov-Maxwell equations.