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Multiple Boris integrators for particle-in-cell simulation

2019/05/31 by Seiji Zenitani, Tsunehiko N Kato
Physics and Astronomy · #physics.comp-ph #astro-ph.HE #physics.plasm-ph #physics.space-ph

paper · pdf · doi:10.1016/j.cpc.2019.106954

To appear in Comput. Phys. Commun.; 29 pages, 6 figures. arXiv admin note: text overlap with arXiv:1809.04378

arxiv created 2019/10/04 · arxiv updated 2019/10/08

Abstract

We construct Boris-type schemes for integrating the motion of charged particles in particle-in-cell (PIC) simulation. The new solvers virtually combine the 2-step Boris procedure arbitrary n times in the Lorentz-force part, and therefore we call them the multiple Boris solvers. Using Chebyshev polynomials, a one-step form of the new solvers is provided. The new solvers give n2 times smaller errors, allow larger timesteps, and have a long-term stability. We present numerical tests of the new solvers, in comparison with other particle integrators.

Citations