In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov–Maxwell (QRVM) model used to describe how a laser wave interacts with and heats a plasma by penetrating into it. We propose several non-oscillatory methods based on either Runge–Kutta (explicit) or Time-Splitting (implicit) time discretizations. We then show preliminary numerical experiments.
Dans cet article, nous nous intéressons aux méthodes de type WENO pour la simulation du modèle Vlasov–Maxwell quasi-relativiste (QRVM) 1D, utilisé pour décrire la façon dont une onde laser interagit avec un plasma et le réchauffe en le pénétrant. Nous proposons plusieurs méthodes non oscillatoires fondées sur des discrétisations en temps, soit Runge–Kutta (explicites) soit Time-Splitting (implicites). Ensuite, nous présentons des expériences numériques préliminaires.
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Published online:
Mots-clés : Vlasov–Maxwell, WENO, Interaction laser–plasma, Schémas de Runge–Kutta, Splitting de Strang
Francesco Vecil 1; Pep Mulet Mestre 2; Simon Labrunie 3, 4
@article{CRMECA_2014__342_10-11_583_0,
author = {Francesco Vecil and Pep Mulet Mestre and Simon Labrunie},
title = {WENO schemes applied to the quasi-relativistic {Vlasov{\textendash}Maxwell} model for laser{\textendash}plasma interaction},
journal = {Comptes Rendus. M\'ecanique},
pages = {583--594},
publisher = {Elsevier},
volume = {342},
number = {10-11},
year = {2014},
doi = {10.1016/j.crme.2014.06.009},
language = {en},
}
TY - JOUR AU - Francesco Vecil AU - Pep Mulet Mestre AU - Simon Labrunie TI - WENO schemes applied to the quasi-relativistic Vlasov–Maxwell model for laser–plasma interaction JO - Comptes Rendus. Mécanique PY - 2014 SP - 583 EP - 594 VL - 342 IS - 10-11 PB - Elsevier DO - 10.1016/j.crme.2014.06.009 LA - en ID - CRMECA_2014__342_10-11_583_0 ER -
%0 Journal Article %A Francesco Vecil %A Pep Mulet Mestre %A Simon Labrunie %T WENO schemes applied to the quasi-relativistic Vlasov–Maxwell model for laser–plasma interaction %J Comptes Rendus. Mécanique %D 2014 %P 583-594 %V 342 %N 10-11 %I Elsevier %R 10.1016/j.crme.2014.06.009 %G en %F CRMECA_2014__342_10-11_583_0
Francesco Vecil; Pep Mulet Mestre; Simon Labrunie. WENO schemes applied to the quasi-relativistic Vlasov–Maxwell model for laser–plasma interaction. Comptes Rendus. Mécanique, Theoretical and numerical approaches for Vlasov-maxwell equations, Volume 342 (2014) no. 10-11, pp. 583-594. doi : 10.1016/j.crme.2014.06.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.06.009/
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