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Verification of 2D × 2D and two-species Vlasov-Poisson solvers

Yann Barsamian 1, 2 Joackim Bernier 3, 4 Sever Hirstoaga 5, 6 Michel Mehrenberger 5
1 CAMUS - Compilation pour les Architectures MUlti-coeurS
Inria Nancy - Grand Est, ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
4 MINGUS - Multi-scale numerical geometric schemes
IRMAR - Institut de Recherche Mathématique de Rennes, ENS Rennes - École normale supérieure - Rennes, Inria Rennes – Bretagne Atlantique
6 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
Abstract : In [18], 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.
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Submitted on : Wednesday, December 20, 2017 - 11:47:35 AM
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Yann Barsamian, Joackim Bernier, Sever Hirstoaga, Michel Mehrenberger. Verification of 2D × 2D and two-species Vlasov-Poisson solvers. ESAIM: Proceedings and Surveys, EDP Sciences, 2018, 63, pp.78-108. ⟨10.1051/proc/201863078⟩. ⟨hal-01668744⟩

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