A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Llorentz equations on boundary-fitted meshes

A new conceptual framework solving numerically the time-dependent Maxwell-Lorentz equations on a non-rectangular quadrilateral mesh in two space dimensions is presented. Beyond a short review of the applied particle treatment based on the particle-in-cell method, a finite-volume scheme for the numerical approximation of the Maxwell equations is introduced using non-rectangular quadrilateral grid arrangements. The coupling of a high-resolution FV Maxwell solver with the PIC method is a new approach in the context of self-consistent charged particle simulation in electromagnetic fields. Furthermore, first simulation results of the time-dependent behaviour of an externally applied-B ion diode developed at the Forschungszentrum in Karlsruhe are presented.