High order and energy preserving discontinuous Galerkin methods for the Vlasov-Poisson system
This work provides a practical implementation of theoretically sound numerical methods for plasma physics simulations, but the contribution is incremental as it modifies existing methods for computational feasibility.
The paper presents a computational study of discontinuous Galerkin methods for the 1D Vlasov-Poisson system, introducing a modification for feasible computation while preserving energy conservation and high order accuracy. Numerical tests on plasma physics benchmarks validate the theoretical convergence and conservation properties.
We present a computational study for a family of discontinuous Galerkin methods for the one dimensional Vlasov-Poisson system that has been recently introduced. We introduce a slight modification of the methods to allow for feasible computations while preserving the properties of the original methods. We study numerically the verification of the theoretical and convergence analysis, discussing also the conservation properties of the schemes. The methods are validated through their application to some of the benchmarks in the simulation of plasma physics.