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| HAL : hal-00363643, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Computational Physics (2010) 1927-1953 |
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| Conservative semi-Lagrangian schemes for Vlasov equations |
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| Nicolas Crouseilles 1, 2Michel Mehrenberger 1, 2 |
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| CALVI Collaboration(s) |
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| (2010) |
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| Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibility to add adequate filters in order to ensure the positivity. In the non constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting. |
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| 1 : | CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) |
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CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine |
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| 2 : | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université de Strasbourg |
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| Domaine | : | Mathématiques/Analyse numérique Physique/Physique/Physique des plasmas |
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| Vlasov equation – semi-Lagrangian method – finite volume methods – conservative methods – plasma physics |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00363643, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00363643 | |
| oai:hal.archives-ouvertes.fr:hal-00363643 | |
| Contributeur : Nicolas Crouseilles | |
| Soumis le : Mardi 24 Février 2009, 09:39:53 | |
| Dernière modification le : Vendredi 28 Septembre 2012, 08:46:39 | |
