Subcycling of particle orbits in variational, geometric electromagnetic particle-in-cell methods

Abstract

This paper investigates subcycling of particle orbits in variational, geometric particle-in-cell methods addressing the Vlasov--Maxwell system in magnetized plasmas. The purpose of subcycling is to allow different time steps for different particle species and, ideally, time steps longer than the electron gyroperiod for the global field solves while sampling the local cyclotron orbits accurately. The considered algorithms retain the electromagnetic gauge invariance of the discrete action, guaranteeing a local charge conservation law, while the variational approach provides a bounded long-time energy behavior.

17 pages, 7 figures, accepted for publication in Physics of Plasmas

References in corpus (2)

• Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
• Explicit Structure-Preserving Geometric Particle-in-Cell Algorithm in Curvilinear Orthogonal Coordinate Systems and Its Applications to Whole-Device 6D Kinetic Simulations of Tokamak Physics

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• Multispecies structure-preserving particle discretization of the Landau collision operator
• Metriplectic foundations of gyrokinetic Vlasov-Maxwell-Landau theory
• A gauge-compatible Hamiltonian splitting algorithm for particle-in-cell simulations using finite element exterior calculus
• A dual grid geometric electromagnetic particle in cell method