Geodesic
Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers,
Yann Barsamian1 ; Joackim Bernier2 ; Sever A. Hirstoaga3 ; Michel Mehrenberger1
1 ICube, Pôle API, 300 bd Sébastien Brant, F-67412 Illkirch & INRIA-Nancy Grand-Est, projet CAMUS
2 IRMAR, Université de Rennes Rennes & INRIA-Rennes Bretagne Atlantique, projet MINGUS 1, 263 avenue du Général Leclerc, F-35042
3 Inria-Nancy Grand-Est, projet TONUS & IRMA, Université de Strasbourg, 7, rue René Descartes, F-67084 Strasbourg
ESAIM. Proceedings, Tome 63 (2018), pp. 78-108.

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In [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multi-dimensional effects, we propose a 2D × 2D single species test problem that has true 2D effects coming from the sole second order dispersion analysis.Finally, we perform, in the same code, full 2D × 2D non linear two-species simulations with mass ratio 0:01, and consider the mixing of semi-Lagrangian and Particle-in-Cell methods.
DOI : 10.1051/proc/201863078

Yann Barsamian 1 ; Joackim Bernier 2 ; Sever A. Hirstoaga 3 ; Michel Mehrenberger 1

1 ICube, Pôle API, 300 bd Sébastien Brant, F-67412 Illkirch & INRIA-Nancy Grand-Est, projet CAMUS
2 IRMAR, Université de Rennes Rennes & INRIA-Rennes Bretagne Atlantique, projet MINGUS 1, 263 avenue du Général Leclerc, F-35042
3 Inria-Nancy Grand-Est, projet TONUS & IRMA, Université de Strasbourg, 7, rue René Descartes, F-67084 Strasbourg 
@article{EP_2018_63_a4,
     author = {Yann Barsamian and Joackim Bernier and Sever A. Hirstoaga and Michel Mehrenberger},
     title = {Verification of {2D} {\texttimes} {2D} and {Two-Species} {Vlasov-Poisson} {Solvers,}},
     journal = {ESAIM. Proceedings},
     pages = {78--108},
     publisher = {mathdoc},
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     year = {2018},
     doi = {10.1051/proc/201863078},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863078/}
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Yann Barsamian; Joackim Bernier; Sever A. Hirstoaga; Michel Mehrenberger. Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers,. ESAIM. Proceedings, Tome 63 (2018), pp. 78-108. doi : 10.1051/proc/201863078. http://geodesic.mathdoc.fr/articles/10.1051/proc/201863078/

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