Geodesic
Solving the guiding-center model on a regular hexagonal mesh
Michel Mehrenberger1 ; Laura S. Mendoza2, 3 ; Charles Prouveur4 ; Eric Sonnendrücker2, 3
1IRMA, Université de Strasbourg, 7, rue René Descartes, 67084 Strasbourg & INRIA-Nancy Grand-Est, projet TONUS
2Max Planck Institute for Plasma Physics, Boltzmannstr. 2, 85748 Garching, Germany
3Technische Universität München, Boltzmannstr. 3, D-85748 Garching, Germany
4Université de Lyon, UMR5208, Institut Camille Jordan, 43 boulevard 11 novembre 1918, F-69622 Villeurbanne cedex, France
ESAIM. Proceedings, Tome 53 (2016), pp. 149-176
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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.
DOI : 10.1051/proc/201653010

Michel Mehrenberger  1   ; Laura S. Mendoza  2 , 3   ; Charles Prouveur  4   ; Eric Sonnendrücker  2 , 3

1 IRMA, Université de Strasbourg, 7, rue René Descartes, 67084 Strasbourg & INRIA-Nancy Grand-Est, projet TONUS
2 Max Planck Institute for Plasma Physics, Boltzmannstr. 2, 85748 Garching, Germany
3 Technische Universität München, Boltzmannstr. 3, D-85748 Garching, Germany
4 Université de Lyon, UMR5208, Institut Camille Jordan, 43 boulevard 11 novembre 1918, F-69622 Villeurbanne cedex, France 
@article{EP_2016_53_a10,
     author = {Michel Mehrenberger and Laura S. Mendoza and Charles Prouveur and Eric Sonnendr\"ucker},
     title = {Solving the guiding-center model on a regular hexagonal mesh},
     journal = {ESAIM. Proceedings},
     pages = {149--176},
     year = {2016},
     volume = {53},
     doi = {10.1051/proc/201653010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653010/}
}
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Michel Mehrenberger; Laura S. Mendoza; Charles Prouveur; Eric Sonnendrücker. Solving the guiding-center model on a regular hexagonal mesh. ESAIM. Proceedings, Tome 53 (2016), pp. 149-176. doi: 10.1051/proc/201653010

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