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Journal Articles ESAIM: Proceedings and Surveys Year : 2018

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

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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Dates and versions

hal-01668744 , version 1 (20-12-2017)

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Yann A Barsamian, Joackim Bernier, Sever Adrian Hirstoaga, Michel Mehrenberger. Verification of 2D × 2D and two-species Vlasov-Poisson solvers. ESAIM: Proceedings and Surveys, 2018, 63, pp.78-108. ⟨10.1051/proc/201863078⟩. ⟨hal-01668744⟩
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