Publisher DOI: 10.1016/
arXiv ID: 1409.5677v2
Title: A high-order Boris integrator
Language: English
Authors: Winkel, Mathias 
Speck, Robert 
Ruprecht, Daniel  
Keywords: Boris integrator;Collocation method;High-order;Magnetic field;Spectral deferred corrections (SDC);Time integration;Mathematics - Numerical Analysis;Mathematics - Numerical Analysis;Computer Science - Numerical Analysis
Issue Date: 15-Aug-2015
Source: Journal of Computational Physics 295: 456-474 (2015-08-15)
Journal: Journal of computational physics 
Abstract (english): 
This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in an electric and magnetic field. Boris-SDC relies on a combination of the Boris-integrator with spectral deferred corrections (SDC). SDC can be considered as preconditioned Picard iteration to compute the stages of a collocation method. In this interpretation, inverting the preconditioner corresponds to a sweep with a low-order method. In Boris-SDC, the Boris method, a second-order Lorentz force integrator based on velocity-Verlet, is used as a sweeper/preconditioner. The presented method provides a generic way to extend the classical Boris integrator, which is widely used in essentially all particle-based plasma physics simulations involving magnetic fields, to a high-order method. Stability, convergence order and conservation properties of the method are demonstrated for different simulation setups. Boris-SDC reproduces the expected high order of convergence for a single particle and for the center-of-mass of a particle cloud in a Penning trap and shows good long-term energy stability.
ISSN: 0021-9991
Document Type: Article
Peer Reviewed: Yes
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