Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes
<|reference_start|>Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes: In this paper we propose a semi-Lagrangian discontinuous Galerkin solver for the simulation of the scrape off layer for an electron-ion plasma. We use a time adaptive velocity space to deal with fast particles leaving the computational domain, a block structured mesh to resolve the sharp gradient in the plasma sheath, and limiters to avoid oscillations in the density function. In particular, we propose a limiter that can be computed directly from the information used in the semi-Lagrangian discontinuous Galerkin advection step. This limiter is particularly efficient on graphic processing units (GPUs) and compares favorable with limiters from the literature. We provide numerical results for a set of benchmark problems and compare different limiting strategies.<|reference_end|>
@article{einkemmer2024kinetic,
    title={Kinetic scrape off layer simulations with semi-Lagrangian discontinuous
  Galerkin schemes},
    author={Lukas Einkemmer and Alexander Moriggl},
    journal={arXiv preprint arXiv:2408.11235},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.11235},
    primaryClass={math.NA cs.NA physics.comp-ph physics.plasm-ph}
}