Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913474515304448 |
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| author | Einkemmer, Lukas Moriggl, Alexander |
| author_facet | Einkemmer, Lukas Moriggl, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes Einkemmer, Lukas Moriggl, Alexander Numerical Analysis Computational Physics Plasma Physics 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. |
| title | Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes |
| topic | Numerical Analysis Computational Physics Plasma Physics |
| url | https://arxiv.org/abs/2408.11235 |