Solving the guiding-center model on a regular hexagonal mesh*

Solving the guiding-center model on a regular hexagonal mesh*

This paper introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn’t contain any singularities, unlike polar meshes. We focus on the guiding-center model, for which...

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Main Authors: Mehrenberger Michel, Mendoza Laura S., Prouveur Charles, Sonnendrücker Eric
Format: Article
Language:English
Published: EDP Sciences 2016-03-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201653010
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spelling doaj-13f709d2d30d4da79f9443a430eb3a482021-07-15T14:11:56ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592016-03-015314917610.1051/proc/201653010proc165310Solving the guiding-center model on a regular hexagonal mesh*Mehrenberger Michel0Mendoza Laura S.Prouveur Charles1Sonnendrücker EricIRMA, Université de Strasbourg, 7, rue René Descartes, 67084 Strasbourg & INRIA-Nancy Grand-Est, projet TONUSUniversité de Lyon, UMR5208, Institut Camille JordanThis paper introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn’t contain any singularities, unlike polar meshes. We focus on the guiding-center model, for which we need to develop a Poisson solver for the hexagonal mesh in addition to the Vlasov solver. For the interpolation step of the Semi-Lagrangian scheme, a comparison is made between the use of Box-splines and of Hermite finite elements. The code will be adapted to more complex models and geometries in the future.http://dx.doi.org/10.1051/proc/201653010
collection DOAJ
language English
format Article
sources DOAJ
author Mehrenberger Michel
Mendoza Laura S.
Prouveur Charles
Sonnendrücker Eric
spellingShingle Mehrenberger Michel
Mendoza Laura S.
Prouveur Charles
Sonnendrücker Eric
Solving the guiding-center model on a regular hexagonal mesh*
ESAIM: Proceedings and Surveys
author_facet Mehrenberger Michel
Mendoza Laura S.
Prouveur Charles
Sonnendrücker Eric
author_sort Mehrenberger Michel
title Solving the guiding-center model on a regular hexagonal mesh*
title_short Solving the guiding-center model on a regular hexagonal mesh*
title_full Solving the guiding-center model on a regular hexagonal mesh*
title_fullStr Solving the guiding-center model on a regular hexagonal mesh*
title_full_unstemmed Solving the guiding-center model on a regular hexagonal mesh*
title_sort solving the guiding-center model on a regular hexagonal mesh*
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2016-03-01
description This paper introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn’t contain any singularities, unlike polar meshes. We focus on the guiding-center model, for which we need to develop a Poisson solver for the hexagonal mesh in addition to the Vlasov solver. For the interpolation step of the Semi-Lagrangian scheme, a comparison is made between the use of Box-splines and of Hermite finite elements. The code will be adapted to more complex models and geometries in the future.
url http://dx.doi.org/10.1051/proc/201653010
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AT prouveurcharles solvingtheguidingcentermodelonaregularhexagonalmesh
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