Erlangen 2018 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 11: Helmholtz Graduate School - Poster

P 11.7: Poster

Dienstag, 6. März 2018, 16:15–18:15, Redoutensaal

Spectral discretization for the Vlasov Equation — •Anna Yurova and Katharina Kormann — Max-Planck-Institut für Plasmaphysik, Garching b. München, Deutschland

Solving the full kinetic equations can help in understanding possible shortcomings of gyrokinetics. We consider a Galerkin method with Fourier discretization in space and generalized Hermite functions in velocity. The generalized Hermite functions allow for exact integration and resemble the structure of the solution in velocity space. Therefore, it is possible to simulate an unbounded domain in velocity instead of cutting it as it is currently done in mesh-based methods. We investigate the influence of the scaling and shift of the basis functions on the numerical solution of the Vlasov equation. We study different choices of the parameters in order to find a setup with a good representation of the initial distribution and, at the same time, long-term numerical stability.