Bridging kinetic plasma descriptions and single fluid models
Plasma Physics
2020-04-21 v1
Abstract
The purpose of this paper is to bridge kinetic plasma descriptions and low frequency single fluid models. More specifically, the asymptotics leading to Magneto-Hydro-Dynamic (MHD) regimes starting from the Vlasov-Maxwell system are investigated. The analogy with the derivation, from the Vlasov-Poisson system, of a fluid representation for the ions coupled to the Boltzmann relation for electrons is also outlined. The aim is to identify asymptotic parameters explaining the transitions from one microscopic description to a macroscopic low frequency model. These investigations provide ground work for the derivation of multi-scale numerical methods, model coupling or physics based preconditioning.
Cite
@article{arxiv.2004.09173,
title = {Bridging kinetic plasma descriptions and single fluid models},
author = {A. Crestetto and F. Deluzet and D. Doyen},
journal= {arXiv preprint arXiv:2004.09173},
year = {2020}
}