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.

arXiv comment17 pages, 7 figures, accepted for publication in Physics of Plasmas

References in corpus (13)

• An Energy- and Charge-conserving, Implicit, Electrostatic Particle-in-Cell Algorithm
• GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods
• Structure and structure-preserving algorithms for plasma physics
• Variational formulation of particle algorithms for kinetic plasma simulations
• Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
• Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems
• Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell system
• An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm
• Structure-Preserving Geometric Particle-in-Cell Methods for Vlasov-Maxwell Systems
• Hamiltonian integration methods for Vlasov-Maxwell equations
• A semi-implicit, energy- and charge-conserving particle-in-cell algorithm for the relativistic Vlasov-Maxwell equations
• 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

Cited by in corpus (7)

• 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
• Structure-preserving marker-particle discretizations of Coulomb collisions for particle-in-cell codes
• Quasi-Helmholtz Decomposition, Gauss' Laws and Charge Conservation for Finite Element Particle-in-Cell
• 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