# 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

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Accuracy and stability analysis of the Semi-Lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model

- Computer Science, Mathematics
- ArXiv
- 2021

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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