Arbitrarily high-order semi-Lagrangian methods for the kinetic description of plasmas
Abstract
In the kinetic description of low-temperature plasmas, deterministic mesh-based solvers excel for their capacity to resolve small electric fields in quasi-neutral regions, and to compute accurate ionization rates involving a small population of high energy electrons. Among these, semi-Lagrangian methods like the Convected Scheme (CS) are preferred, because of their ability to take large time-steps (no CFL limit) and their low numerical diffusion. The CS is mass conservative and positivity preserving, and was recently extended to arbitrarily high order of accuracy in phase-space: the new scheme was applied to the Vlasov-Poisson system on periodic domains, and validated against classical 1D-1V test-cases. Here we introduce the effect of scattering collisions and wall recombination, include kinetic ions, and extend the model to 1D-2V. We investigate the formation of a planar presheath, and compare the new results to low-order simulations.
- Publication:
-
APS Annual Gaseous Electronics Meeting Abstracts
- Pub Date:
- September 2013
- Bibcode:
- 2013APS..GECLW2005G