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

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

关键词: AR FACILITIES;    ALGORITHMS;    BOLTZMANN-VLASOV EQUATION;    GAUGE INVARIANCE;    INTERPOLATION;    MINIMIZATION Computer Simulation;    Hamiltonian;    Vlasov Equation;   

DOI  :  10.2172/1037451
RP-ID  :  PPPL-4748
PID  :  OSTI ID: 1037451
Others  :  TRN: US1201639

美国|英语

来源: SciTech Connect

【 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.