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

Yann A Barsamian (1, 2) , Joackim Bernier (3, 4) , Sever Adrian Hirstoaga (5, 6) , Michel Mehrenberger (5)

1 CAMUS - Compilation pour les Architectures MUlti-coeurS
2 ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
3 IRMAR - Institut de Recherche Mathématique de Rennes
4 MINGUS - Multi-scale numerical geometric schemes
5 IRMA - Institut de Recherche Mathématique Avancée
6 TONUS - TOkamaks and NUmerical Simulations

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.

Domaines: Analyse numérique [math.NA]; Physique des plasmas [physics.plasm-ph]; Plasmas; Calcul parallèle, distribué et partagé [cs.DC]; Modélisation et simulation

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⟩