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High order numerical methods for Vlasov-Poisson models of plasma sheaths

hal.structure.identifierUniversité de Bordeaux [UB]
hal.structure.identifierÉquipe Calcul scientifique et Modélisation
dc.contributor.authorAYOT, Valentin
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBADSI, Mehdi
hal.structure.identifierÉcole Européenne de Bruxelles
dc.contributor.authorBARSAMIAN, Yann
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
hal.structure.identifierMulti-scale numerical geometric schemes [MINGUS]
dc.contributor.authorCRESTETTO, Anaïs
hal.structure.identifierMulti-scale numerical geometric schemes [MINGUS]
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorCROUSEILLES, Nicolas
hal.structure.identifierAix Marseille Université [AMU]
hal.structure.identifierInstitut de Mathématiques de Marseille [I2M]
dc.contributor.authorMEHRENBERGER, Michel
hal.structure.identifierLaboratoire de Mathématiques de l'INSA de Rouen Normandie [LMI]
dc.contributor.authorPROST, Averil
hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [LJAD]
hal.structure.identifierCOmplex Flows For Energy and Environment [COFFEE]
dc.contributor.authorTAYOU-FOTSO, Christian
dc.description.abstractEnThis 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.
dc.description.sponsorshipMultiéchelle et Trefftz pour le transport numérique - ANR-19-CE46-0004
dc.language.isoen
dc.title.enHigh order numerical methods for Vlasov-Poisson models of plasma sheaths
dc.typeDocument de travail - Pré-publication
dc.subject.halPhysique [physics]/Physique [physics]/Physique Numérique [physics.comp-ph]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.description.sponsorshipEuropeEUROfusion
hal.identifierhal-03926305
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03926305v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AYOT,%20Valentin&BADSI,%20Mehdi&BARSAMIAN,%20Yann&CRESTETTO,%20Ana%C3%AFs&CROUSEILLES,%20Nicolas&rft.genre=preprint


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