SMuK 2023 – scientific programme

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P: Fachverband Plasmaphysik

P 11: Poster I

P 11.9: Poster

Wednesday, March 22, 2023, 14:00–15:30, HSZ EG

Active Flux for Vlasov-Maxwell I: 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. This can facilitate the bulk coupling. The point values on the cell interfaces are evolved independently of the conservation update, with the former step not having to be conservative. For the Vlasov equation, being a linear transport equation, this allows for the use of semi-Lagrangian techniques. We present first results on the numerical error of the method for the cases of 1 and multidimensional linear advection and the 1D electrostatic limit, considering the case of Landau-damping. AF showed lower dissipation than other 3rd order schemes and performed better particularly at low resolution, encouraging its application to the full 3D Vlasov-Maxwell problem.