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| HAL: hal-00533390, version 1 |
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| Communication in Computational Physics 10 (2011) 1027-1043 |
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| A charge preserving scheme for the numerical resolution of the Vlasov-Ampère equations |
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| Nicolas Crouseilles 1, 2Thomas Respaud 1 |
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| (2011) |
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| In this report, a charge preserving numerical resolution of the 1D Vlasov-Ampère equation is achieved, with a forward Semi-Lagrangian method introduced in \cite{4respaud}. The Vlasov equation belongs to the kinetic way of simulating plasmas evolution, and is coupled with the Poisson's equation, or equivalently under charge conservation, the Ampère's one, which self-consistently rules the electric field evolution. In order to ensure having proper physical solutions, it is necessary that the scheme preserves charge numerically. B-Spline deposition will be used for the interpolation step. The solving of the characteristics will be made with a Runge-Kutta 2 method and with a Cauchy-Kovalevsky procedure. |
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| 1: | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université de Strasbourg |
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| 2: | 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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| Subject | : | Mathematics/Numerical Analysis |
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| Attached file list to this document: | |||||
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| hal-00533390, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00533390 | |
| oai:hal.archives-ouvertes.fr:hal-00533390 | |
| From: Nicolas Crouseilles | |
| Submitted on: Friday, 5 November 2010 23:06:58 | |
| Updated on: Wednesday, 9 January 2013 15:43:11 | |
