TY  - JOUR
AU  - Winkel, Mathias
AU  - Speck, Robert
AU  - Ruprecht, Daniel
TI  - A high-order Boris integrator
JO  - Journal of computational physics
VL  - 295
SN  - 0021-9991
CY  - Orlando, Fla.
PB  - Academic Press
M1  - FZJ-2015-03168
SP  - 456 - 474
PY  - 2015
AB  - This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in electric and magnetic fields. 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000354399700022
DO  - DOI:10.1016/j.jcp.2015.04.022
UR  - https://juser.fz-juelich.de/record/190250
ER  -