The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation - Université de Lorraine Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 1999

The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation

Résumé

The numerical resolution of kinetic equations and, in particular, of Vlasov-type equations is performed most of the time using particle in cell methods which consist in describing the time evolution of the equation through a finite number of particles which follow the characteristic curves of the equation, the interaction with the external and self-consistent fields being resolved using a grid. Another approach consists in computing directly the distribution function on a grid by following the characteristics backward in time for one time step and interpolating the value at the feet of the characteristics using the grid point values of the distribution function at the previous time step. In this report we introduce this last method, which couples the Lagrangian and Eulerian points of view and its use for the Vlasov equation and equations derived from it.
Fichier principal
Vignette du fichier
JCP_1999_Ghizzo.pdf (1.05 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01791851 , version 1 (20-05-2018)

Identifiants

Citer

Eric Sonnendrucker, Jean Roche, Pierre Raphaël Bertrand, Alain Ghizzo. The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation. Journal of Computational Physics, 1999, 149 (2), pp.201-220. ⟨10.1006/jcph.1998.6148⟩. ⟨hal-01791851⟩
166 Consultations
570 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More