Section: New Results

PICSL

Participants : Yann Barsamian, Joackim Bernier, Sever Hirstoaga, Michel Mehrenberger.

Particle in Cell and Semi-Lagrangian schemes for two species plasma simulations

Thanks to a classical first order dispersion analysis, we are able to check the validity of 1D$\times$1D two species Vlasov-Poisson simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multidimensional effects, we propose in [14] 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 nonlinear two species simulations with mass ratio and consider the mixing of semi-Lagrangian and Particle-in-Cell methods. This work has been initiated at CEMRACS 2016.