Geometric Particle-in-Cell Simulations of the Vlasov-Maxwell System in Curvilinear Coordinates

@article{Perse2020GeometricPS,
  title={Geometric Particle-in-Cell Simulations of the Vlasov-Maxwell System in Curvilinear Coordinates},
  author={Benedikt Perse and Katharina Kormann and Eric Sonnendr{\"u}cker},
  journal={ArXiv},
  year={2020},
  volume={abs/2111.08342}
}
Numerical schemes that preserve the structure of the kinetic equations can provide stable simulation results over a long time. An electromagnetic particle-in-cell solver for the Vlasov-Maxwell equations that preserves at the discrete level the non-canonical Hamiltonian structure of the Vlasov-Maxwell equations has been presented in [Kraus et al. 2017]. Whereas the original formulation has been obtained for Cartesian coordinates, we extend the formulation to curvilinear coordinates in this paper… 

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