Multiple Boris integrators for particle-in-cell simulation
arXiv:1905.12112 · doi:10.1016/j.cpc.2019.106954
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 n^2 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.
To appear in Comput. Phys. Commun.; 29 pages, 6 figures. arXiv admin note: text overlap with arXiv:1809.04378
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