Corpus ID: 233864831

Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model

@article{Ding2021SemiLagrangianND,
  title={Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model},
  author={Mingchang Ding and Jing-Mei Qiu and Ruiwen Shu},
  journal={ArXiv},
  year={2021},
  volume={abs/2105.02421}
}
In this paper, we propose an efficient, high order accurate and asymptotic-preserving (AP) semi-Lagrangian (SL) method for the BGK model with constant or spatially dependent Knudsen number. The spatial discretization is performed by a mass conservative nodal discontinuous Galerkin (NDG) method, while the temporal discretization of the stiff relaxation term is realized by stiffly accurate diagonally implicit Runge-Kutta (DIRK) methods along characteristics. Extra order conditions are enforced in… Expand
Accuracy and stability analysis of the Semi-Lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model
TLDR
A family of third order asymptotic-preserving and asymPTotically accurate diagonally implicit Runge-Kutta (DIRK) time discretization methods for the stiff hyperbolic relaxation systems and kinetic Bhatnagar-Gross-Krook model in the semi-Lagrangian (SL) setting. Expand

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