A strategy to suppress recurrence in grid-based Vlasov solvers

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Résumé : We propose a strategy to suppress the recurrence effect present in grid-based Vlasov solvers. This method is formulated by introducing a cutoff frequency in Fourier space. Since this cutoff only has to be performed after a number of time steps, the scheme can be implemented efficiently and can relatively easily be incorporated into existing Vlasov solvers. Furthermore, the scheme proposed retains the advantage of grid-based methods in that high accuracy can be achieved. We will illustrate the utility of the method proposed by presenting the results of a number of numerical simulations, including the plasma echo phenomenon, using a semi-Lagrangian discontinuous Galerkin approximation based on Strang splitting.