The Semi-Lagrangian Method for the Numerical Resolution of Vlasov Equations - Archive ouverte HAL Access content directly
Reports (Research Report) Year : 1998

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

Abstract

The numerical resolution of kinetic equations and in particular of Vlasov type equations is most of the time performed using PIC (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 points values of the distribution function at the previous time step. In this report we introduce this last method and its use for different types of Vlasov equations.
Fichier principal
Vignette du fichier
RR-3393.pdf (521.5 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00073296 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073296 , version 1

Cite

Eric Sonnendrücker, Jean Roche, Pierre Bertrand, Alain Ghizzo. The Semi-Lagrangian Method for the Numerical Resolution of Vlasov Equations. [Research Report] RR-3393, INRIA. 1998, pp.23. ⟨inria-00073296⟩
136 View
1273 Download

Share

Gmail Facebook X LinkedIn More