| Issue |
ESAIM: ProcS
Volume 63, 2018
CEMRACS 2016 - Numerical challenges in parallel scientific computing
|
|
|---|---|---|
| Page(s) | 78 - 108 | |
| DOI | https://doi.org/10.1051/proc/201863078 | |
| Published online | 19 October 2018 | |
Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,,★★
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
4
IRMA, Université de Strasbourg, Strasbourg & INRIA-Nancy Grand-Est, projet TONUS, 7, rue René Descartes, F-67084
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.
© EDP Sciences, SMAI 2018
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