This book is devoted to two-dimensional numerical modelling of particle transport (electrons and positive ions) in a filamentary discharge. The electrode configuration is flat, the gas used is nitrogen and the pressure is atmospheric pressure.The fluid model was chosen (coupling of the first two moments of the Boltzmann equation: continuity equation and momentum transfer equation to the Poisson equation). The numerical scheme used to solve the continuity equations is the FCT-LPE numerical scheme.The Poisson equation is solved in 2D using the Biconjugate Gradient Stabilized (BICGSTAB) method....

This book is dedicated to the study of charged particle interactions in space plasmas. These play a crucial role in many phenomena observed in space, such as auroras, solar winds, cosmic rays and many others. For the simulation, we used the PIC (Particle In Cell) method, considered to be the first method to have been developed historically for the simulation of the Vlasov Maxwell or Vlasov Poisson equations (coupling of a particle method for Vlasov and a mesh method for Poisson or Maxwell). The principle of the method is to discretize the distribution function by a set of macro-particles...

This research work is devoted to the 2D numerical modeling of particle transport (electrons and positive ions) in a high-pressure discharge or positive streamer discharge. The electrode configuration is planar and the gas used is nitrogen. The fluid model was chosen (coupling of the first two moments of Boltzmann's equation: continuity equation and momentum transfer equation to Poisson's equation). The current density in the continuity equations was calculated using the Flux de Transport Corrigé FCT scheme. The scheme was established by Boris and Book. The Poisson equation is solved in 2D...

This research work is devoted to 2D numerical modeling of particle transport (electrons and positive ions) in a high-pressure discharge (positive streamer). The electrode configuration is planar and the gas used is nitrogen. The fluid model was chosen (coupling of the first two moments of Boltzmann's equation: continuity equation and momentum transfer equation to Poisson's equation). The current density in the continuity equations was calculated using Scharfetter and Gummel's improved first-order numerical scheme (SG1). The scheme was established by Kulikovsky. The Poisson's equation is...

Diese Forschungsarbeit befasst sich mit der numerischen 2D-Modellierung des Partikeltransports (positive Elektronen und Ionen) in einer Hochdruckentladung (Positivstreamer). Die Elektrodenkonfiguration ist planar und das verwendete Gas ist Stickstoff. Es wurde das Fluidmodell gewählt (Kopplung der ersten beiden Momente der Boltzmann-Gleichung: Kontinuitätsgleichung und Impulsübertragungsgleichung an die Poisson-Gleichung). Die Stromdichte in den Kontinuitätsgleichungen wurde mithilfe des verbesserten numerischen Schemas von Scharfetter und Gummel der Ordnung eins (SG1) berechnet. Das...

Dieses Buch befasst sich mit der zweidimensionalen numerischen Modellierung des Transports von Teilchen (Elektronen und positive Ionen) in einer Glimmentladung. Die Elektroden sind plan angeordnet, als Gas wird Stickstoff verwendet und der Druck entspricht dem atmosphärischen Druck.Es wurde das Fluidmodell gewählt (Kopplung der ersten beiden Momente der Boltzmann-Gleichung: Kontinuitätsgleichung und Impulsübertragungsgleichung an die Poisson-Gleichung). Das zur Lösung der Kontinuitätsgleichungen verwendete numerische Schema ist das numerische FCT-LPE-Schema.Die Lösung der...