hal-00363643, version 1
Conservative semi-Lagrangian schemes for Vlasov equations
Journal of Computational Physics (2010) 1927-1953
Résumé : 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.
- 1 :
- CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine
- 2 :
- CNRS : UMR7501 – Université de Strasbourg
- Collaboration : CALVI
- Domaine : Mathématiques/Analyse numérique
Physique/Physique/Physique des plasmas - Mots-clés : Vlasov equation – semi-Lagrangian method – finite volume methods – conservative methods – plasma physics
- hal-00363643, version 1
- http://hal.archives-ouvertes.fr/hal-00363643
- oai:hal.archives-ouvertes.fr:hal-00363643
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- Soumis le : Mardi 24 Février 2009, 09:39:53
- Dernière modification le : Vendredi 28 Septembre 2012, 08:46:39
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