AYOT, Valentin; BADSI, Mehdi; BARSAMIAN, Yann; CRESTETTO, Anaïs; CROUSEILLES, Nicolas; MEHRENBERGER, Michel; PROST, Averil; TAYOU-FOTSO, Christian

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Licencia de uso del documento

AYOT, Valentin
Université de Bordeaux [UB]
Équipe Calcul scientifique et Modélisation

BADSI, Mehdi
Laboratoire de Mathématiques Jean Leray [LMJL]

BARSAMIAN, Yann
École Européenne de Bruxelles

Idioma

Document de travail - Pré-publication

Resumen en inglés

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. The codes are first evaluated on a one-species case, where an analytical solution is known. For the two-species case, cross comparisons and the influence of the numerical parameters for the SL method are performed in order to have an idea of a reference numerical simulation. Aknowledgements Centre de Calcul Intensif d'Aix-Marseille is acknowledged for granting access to its high performance computing resources.< Leer menos

Proyecto europeo

EUROfusion

Proyecto ANR

Multiéchelle et Trefftz pour le transport numérique - ANR-19-CE46-0004

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251