A splitting method for semi-Lagrangian Vlasov-Poisson solvers with a strong external uniform magnetic field
Résumé
We solve numerically the Vlasov-Poisson system with a splitting method suited for strong external magnetic field. Our splitting scheme is inspired by J. Ameres [2] but uses the semi-Lagrangian solver instead of a Fourier spectral discretization solver. We show that when the magnitude of the external magnetic field becomes large while the time step is independent of the fast oscillation in time, this scheme is able to provide a consistent semi-Lagrangian discretization of the guiding-center model. In addition, we propose some numerical simulations to validate the method under the Kelvin-Helmholtz instability test case.
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