On the Boris solver in particle-in-cell simulation

Abstract

A simple form of the Boris solver in particle-in-cell (PIC) simulation is proposed. It employs an exact solution of the Lorentz-force part, and it is equivalent to the Boris solver with a gyrophase correction. As a favorable property for stable schemes, this form preserves a volume in the phase space. Numerical tests of the Boris solvers are conducted by test-particle simulations and by PIC simulations. The proposed form provides better accuracy than the popular form, while it only requires few additional computation time.

7 pages; 3 figures

References in corpus (7)

• A comprehensive comparison of relativistic particle integrators
• Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields
• An fully implicit scheme for numerical integration of the relativistic particle equation of motion
• Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
• Dissipation in Relativistic Pair-plasma Reconnection: Revisited
• High Order Numerical Integrators for Relativistic Charged Particle Tracking
• Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory

Cited by in corpus (21)

• PIC methods in astrophysics: Simulations of relativistic jets and kinetic physics in astrophysical systems
• Multiple Boris integrators for particle-in-cell simulation
• A relativistic particle pusher for ultra-strong electromagnetic fields
• Ponderomotive Recoil for Electromagnetic Waves
• Critical magnetic Reynolds number of the turbulent dynamo in collisionless plasmas
• Advanced fuel fusion, phase space engineering, and structure-preserving geometric algorithms
• Particle acceleration in neutron star ultra-strong electromagnetic fields
• Flowing plasma rearrangement in the presence of static perturbing fields
• Controlling a Vlasov-Poisson plasma by a Particle-In-Cell method based on a Monte Carlo framework
• Mirages and Large TeV Halo-Pulsar Offsets from Cosmic Ray Propagation
• The Reversibility Of Magnetic Reconnection
• An Analytic Boris Pusher for Plasma Simulation
• A Charge Conserving Exponential Predictor Corrector FEMPIC Formulation for Relativistic Particle Simulations
• Kinetic simulation of electron cyclotron resonance assisted gas breakdown in split-biased waveguides for ITER collective Thomson scattering diagnostic
• Coriolis Forces Modify Magnetostatic Ponderomotive Potentials
• The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators
• AHKASH: a new Hybrid particle-in-cell code for simulations of astrophysical collisionless plasma
• Mirage Sources and Large TeV Halo-Pulsar Offsets: Exploring the Parameter Space
• Hyper Boris integrators for kinetic plasma simulations
• A Comparative Analysis of Relativistic Particle Pushers vis-à-vis Computation Time & Accuracy
• Volume-preserving particle integrator based on exact flow of velocity for nonrelativistic particle-in-cell simulations