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...

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Veröffentlicht in:Computer physics communications Jg. 316; S. 109775
Hauptverfasser: Einkemmer, Lukas, Moriggl, Alexander
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.11.2025
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Abstract 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 can be directly implemented as part of the GPU kernel of the scheme, which avoids an expensive post processing step. We provide numerical results for a set of benchmark problems and compare different limiting strategies.
AbstractList 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 can be directly implemented as part of the GPU kernel of the scheme, which avoids an expensive post processing step. We provide numerical results for a set of benchmark problems and compare different limiting strategies.
ArticleNumber 109775
Author Moriggl, Alexander
Einkemmer, Lukas
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  givenname: Alexander
  surname: Moriggl
  fullname: Moriggl, Alexander
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Keywords General purpose computing on graphic processing units
Scrape off layer
Limiters
Semi-Lagrangian discontinuous Galerkin schemes
Plasma sheath
Language English
License This is an open access article under the CC BY license.
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Snippet 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...
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StartPage 109775
SubjectTerms General purpose computing on graphic processing units
Limiters
Plasma sheath
Scrape off layer
Semi-Lagrangian discontinuous Galerkin schemes
Title Kinetic scrape off layer simulations with semi-Lagrangian discontinuous Galerkin schemes
URI https://dx.doi.org/10.1016/j.cpc.2025.109775
Volume 316
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