Besse, Nicolas ; Mauser, Norbert J. ; Sonnendrücker, Eric
Contributor:Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Title:Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena
Subtitle: Group publication title: Subject and Keywords:Vlasov-Darwin model ; Vlasov-Poisswell model ; semi-Lagrangian methods ; low-frequency electromagnetic phenomena
Abstract:We present a new numerical method to solve the Vlasov-Darwin and Vlasov-Poisswell systems which are approximations of the Vlasov-Maxwell equation in the asymptotic limit of the infinite speed of light. These systems model low-frequency electromagnetic phenomena in plasmas, and thus "light waves" are somewhat supressed, which in turn allows the numerical discretization to dispense with the Courant-Friedrichs-Lewy condition on the time step. ; We construct a numerical scheme based on semi-Lagrangian methods and time splitting techniques. We develop a four-dimensional phase space algorithm for the distribution function while the electromagnetic field is solved on a two-dimensional Cartesian grid. Finally, we present two nontrivial test cases: (a) the wave Landau damping and (b) the electromagnetic beam-plasma instability. For these cases our numerical scheme works very well and is in agreement with analytic kinetic theory.
Publisher:Zielona Góra: Uniwersytet Zielonogórski
Date: Resource Type: DOI: Pages: Source:AMCS, volume 17, number 3 (2007) ; click here to follow the link
Language: License CC BY 4.0: Rights: