Issue |
ESAIM: Proc.
Volume 53, March 2016
CEMRACS 2014 – Numerical Modeling of Plasmas
|
|
---|---|---|
Page(s) | 22 - 37 | |
DOI | https://doi.org/10.1051/proc/201653002 | |
Published online | 01 April 2016 |
Modelling and simulating a multispecies plasma
1 Laboratoire Jaques Louis-Lions (LJLL), Universit Pierre et
Marie Curie (Paris-VI), 4 place Jussieu, 75252 Paris Cedex 05, France.
Email: badsi@ljll.math.upmc.fr
2 Institut Camille Jordan (ICJ), Universit Claude Bernard Lyon
1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France.
Email: herda@math.univ-lyon1.fr
This paper is devoted to the modelling and numerical simulations of collisionless multispecies plasmas. In the framework of tokamak applications, we detail the dimensional analysis of the coupled kinetic system in order to extract the important parameters of the model. From there, we focus on two asymptotics. We first investigate the implementation of a solver adapted the quasineutral limit in order to deal with large scale simulations. In a second time, we study the massless electron approximation through numerical experiments and question the validity of the usual Maxwell-Boltzmann density approximation.
Résumé
Cet article est consacré à la modélisation et la simulation numérique de plasmas multi-espèces non-collisionnels. Dans le contexte des applications aux plasmas de tokamak, nous détaillons l’adimensionnement du système cinétique couplé afin d’en extraire les paramètres importants du modèle. De là, nous nous concentrons sur deux asymptotiques. Nous étudions d’abord la mise en oeuvre d’un solveur adapté la limite quasineutre afin de pouvoir traiter des simulations à échelle macroscopique. Dans un second temps, nous étudions l’approximation des électrons sans masse à travers des expériences numériques et remettons en question la validité de l’approximation habituelle de densité de Maxwell-Boltzmann.
Key words: Vlasov-Poisson / multispecies plasma / tokamak plasma / numerical simulations
Mots clés : Vlasov-Poisson / multi-espces / plasma de tokamak / simulations numriques
© EDP Sciences, SMAI 2016
This is an open access article distributed under the terms of the Creative
Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted
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