| Issue |
ESAIM: Proc.
Volume 53, March 2016
CEMRACS 2014 – Numerical Modeling of Plasmas
|
|
|---|---|---|
| Page(s) | 1 - 21 | |
| DOI | https://doi.org/10.1051/proc/201653001 | |
| Published online | 01 April 2016 | |
A numerical study of the solution of X-Mode equations around the hybrid resonance*
1 Max Planck Institute fr
PlasmaPhysik, Garching bei
Mnchen, Germany
2 Sorbonne Universités, UPMC Univ Paris
06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France
3 Courant Institute of Mathematical
Sciences, New York University
4 POEMS, INRIA, ENSTA
ParisTech, Palaiseau,
France
The hybrid resonance is a physical phenomenon that appears for example in the heating of plasma, and as such is of scientific interest for the development of the ITER project. In this paper we focus on solutions of low regularity to Maxwell equations in magnetized plasmas. Our main purpose is three-fold. First, we aim at investigating the finite element approximation of the frequency-domain problem. Second, we would like to study the resonant solutions in the time domain, with the help of two different finite difference approximations. We finally compare the results with the ones obtained in the frequency domain, by numerical examination of the limiting absorption and limited amplitude principles.
Résumé
La résonnance hybride est un phénomène physique qui apparait par exemple lorsque l’on chauffe un plasma. Il est en particulier d’intérêt scientifique dans le cadre du développement du projet ITER. Dans ce papier, nous nous concentrons sur des solutions faiblement régulières des équations de Maxwell pour les plasmas magnétiques. Notre but est ici triple. Dans un premier temps, nous approchons numériquement la formulation fréquentielle à l’aide d’éléments finis. Dans un deuxième temps, nous étudions les solutions résonnantes dans le domaine temporel, à l’aide de deux méthodes distinctes de différences finies. Finalement, nous comparons numériquement les solutions fréquentielles avec le comportement en temps long des solutions temporelles, dans le cadre des principes d’amplitude et d’absorption limite.
The authors acknowledge the support of ANR under contract ANR-12-BS01-0006-01. Moreover, this work was carried out within the framework of the European Fusion Development Agreement and the French Research Federation for Fusion Studies. It is supported by the European Communities under the contract of Association between Euratom and CEA. The views and opinions expressed herein do not necessarily reflect those of the European Commission.
© 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
use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.