Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes

Nicolas Besse 1, 2, 3 Jacques Segré Eric Sonnendrücker 2, 4
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : In this article, we present new high-order, semi-Lagrangian schemes for solving the Vlasov-Poisson system on an unstructured four-dimensional phase-space mesh. The method is based on the propagation of the distribution function and its jacobian by following the characteristic curves backward. Then the distribution function is reconstructed using high-order and few diffusive interpolation operators coming from the finite element and the computer aided geometric design (CAGD) literature. Numerical tests in plasma physics and charged-particle beam transport are investigated.
Type de document :
Article dans une revue
Transport Theory and Statistical Physics, Taylor & Francis, 2005, 34 (3-5), pp.311-332. 〈10.1080/00411450500274592〉
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Contributeur : Nicolas Besse <>
Soumis le : vendredi 20 mai 2011 - 20:05:47
Dernière modification le : mardi 21 août 2018 - 09:46:02

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Nicolas Besse, Jacques Segré, Eric Sonnendrücker. Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Transport Theory and Statistical Physics, Taylor & Francis, 2005, 34 (3-5), pp.311-332. 〈10.1080/00411450500274592〉. 〈hal-00594783〉

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