Verification of 2 D × 2 D and Two-Species Vlasov-Poisson Solvers

Verification of 2 D × 2 D and Two-Species Vlasov-Poisson Solvers

In [2], 1 D ×1 D 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 furth...

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Veröffentlicht in:ESAIM. Proceedings and surveys 2018, Vol.63, p.78-108
Hauptverfasser: Barsamian, Yann, Bernier, Joackim, Hirstoaga, Sever A., Mehrenberger, Michel
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container_title ESAIM. Proceedings and surveys
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Bernier, Joackim
Hirstoaga, Sever A.
Mehrenberger, Michel
description In [2], 1 D ×1 D 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 2 D × 2 D single species test problem that has true 2 D effects coming from the sole second order dispersion analysis. Finally, we perform, in the same code, full 2 D × 2 D 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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title Verification of 2 D × 2 D and Two-Species Vlasov-Poisson Solvers
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