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Pré-Publication, Document De Travail Année : 2023

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

Résumé

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.
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Dates et versions

hal-03926305 , version 1 (06-01-2023)

Identifiants

  • HAL Id : hal-03926305 , version 1

Citer

Valentin Ayot, Mehdi Badsi, Yann Barsamian, Anaïs Crestetto, Nicolas Crouseilles, et al.. High order numerical methods for Vlasov-Poisson models of plasma sheaths. 2023. ⟨hal-03926305⟩
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