Geometric Integration Of The Vlasov-Maxwell System With A Variational Particle-in-cell Scheme

Squire, J. ; Qin, H. ; Tang, W. M.

Princeton University. Plasma Physics Laboratory.

关键词: Boltzmann-Vlasov Equation;    Computer Simulation, Hamiltonian, Vlasov Equation;    70 Plasma Physics And Fusion Technology;    Gauge Invariance;    Minimization Computer Simulation, Hamiltonian, Vlasov Equation;   

DOI  :  10.2172/1037451
RP-ID  :  PPPL-4748
RP-ID  :  DE-ACO2-09CH11466
RP-ID  :  1037451

美国|英语

来源: UNT Digital Library

【 摘 要 】

A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations. Using the formalism of Discrete Exterior Calculus [1], the field solver, interpolation scheme and particle advance algorithm are derived through minimization of a single discrete field theory action. As a consequence of ensuring that the action is invariant under discrete electromagnetic gauge transformations, the integrator exactly conserves Gauss's law.