High order numerical methods for Vlasov-Poisson models of plasma sheaths
ESAIM. Proceedings, Tome 77 (2024), pp. 229-248
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This article is a report of the CEMRACS 2022 project, called HIVLASHEA, standing for ”High order methods for Vlasov-Poisson models for sheaths”. A two-species Vlasov-Poisson model is described together with some numerical simulations, permitting to exhibit the formation of a plasma sheath. The numerical simulations are performed with two different methods: a first order classical finite difference (FD) scheme and a high order semi-Lagrangian (SL) scheme with Strang splitting; for the latter one, the implementation of (non-periodic) boundary conditions is discussed and different solvers for the electric field are compared. The codes are first evaluated on a one-species case, where an analytical solution is known. For the two-species case, cross-comparisons are performed and the numerical convergence of the SL method is investigated. The use of high order method is emphasized in this context. The (parallel) SL code turns out to be a robust tool to provide reliable numerical approximations of sheath stationary solution with realistic physical parameters.
Affiliations des auteurs :
Valentin Ayot 1 ; Mehdi Badsi 2 ; Yann Barsamian 3 ; Anaïs Crestetto 2 ; Nicolas Crouseilles 4 ; Michel Mehrenberger 5 ; Averil Prost 6 ; Christian Tayou-Fotso 7
@article{EP_2024_77_a11,
author = {Valentin Ayot and Mehdi Badsi and Yann Barsamian and Ana{\"\i}s Crestetto and Nicolas Crouseilles and Michel Mehrenberger and Averil Prost and Christian Tayou-Fotso},
title = {High order numerical methods for {Vlasov-Poisson} models of plasma sheaths},
journal = {ESAIM. Proceedings},
pages = {229--248},
year = {2024},
volume = {77},
doi = {10.1051/proc/202477229},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202477229/}
}
TY - JOUR AU - Valentin Ayot AU - Mehdi Badsi AU - Yann Barsamian AU - Anaïs Crestetto AU - Nicolas Crouseilles AU - Michel Mehrenberger AU - Averil Prost AU - Christian Tayou-Fotso TI - High order numerical methods for Vlasov-Poisson models of plasma sheaths JO - ESAIM. Proceedings PY - 2024 SP - 229 EP - 248 VL - 77 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/202477229/ DO - 10.1051/proc/202477229 LA - en ID - EP_2024_77_a11 ER -
%0 Journal Article %A Valentin Ayot %A Mehdi Badsi %A Yann Barsamian %A Anaïs Crestetto %A Nicolas Crouseilles %A Michel Mehrenberger %A Averil Prost %A Christian Tayou-Fotso %T High order numerical methods for Vlasov-Poisson models of plasma sheaths %J ESAIM. Proceedings %D 2024 %P 229-248 %V 77 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/202477229/ %R 10.1051/proc/202477229 %G en %F EP_2024_77_a11
Valentin Ayot; Mehdi Badsi; Yann Barsamian; Anaïs Crestetto; Nicolas Crouseilles; Michel Mehrenberger; Averil Prost; Christian Tayou-Fotso. High order numerical methods for Vlasov-Poisson models of plasma sheaths. ESAIM. Proceedings, Tome 77 (2024), pp. 229-248. doi: 10.1051/proc/202477229
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