A charge preserving scheme for the numerical resolution of the Vlasov-Ampère equationsReportar como inadecuado




A charge preserving scheme for the numerical resolution of the Vlasov-Ampère equations - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 IRMA - Institut de Recherche Mathématique Avancée 2 CALVI - Scientific computation and visualization IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l-Image, de l-Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine

Abstract : 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.





Autor: Nicolas Crouseilles - Thomas Respaud -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados