Geodesic
Conservative and entropic numerical schemes for the non homogeneous Fokker-Planck-Landau equation
Nicolas Crouseilles1
1 Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, INSA et Université Paul Sabatier – Toulouse 3, 118 route de Narbonne, F–31062 Toulouse cedex 4, France.
ESAIM. Proceedings, Tome 15 (2005), pp. 58-74 Cet article a éte moissonné depuis la source EDP Sciences

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In this paper, we investigate the approximation of the solution to the Vlasov equation coupled with the Fokker-Planck-Landau collision operator using a phase space grid. On the one hand, the transport is treated by a flux conservative method and the distribution function is reconstructed to to preserve energy and to control numerical oscillations. On the other hand, the collision operators are approximated to preserve the main properties (conservations and decrease of the entropy). Several numerical results are presented in one dimension in space and three dimensions in velocity.
DOI : 10.1051/proc:2005021

Nicolas Crouseilles 1

1 Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, INSA et Université Paul Sabatier – Toulouse 3, 118 route de Narbonne, F–31062 Toulouse cedex 4, France. 
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     author = {Nicolas Crouseilles},
     title = {Conservative and entropic numerical schemes for the non homogeneous {Fokker-Planck-Landau} equation},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc:2005021},
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Nicolas Crouseilles. Conservative and entropic numerical schemes for the non homogeneous Fokker-Planck-Landau equation. ESAIM. Proceedings, Tome 15 (2005), pp. 58-74. doi: 10.1051/proc:2005021

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