EGU21-9368, updated on 27 Dec 2022
EGU General Assembly 2021
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

Multiple Boris solvers for particle-in-cell (PIC) simulation

Seiji Zenitani1 and Tsunehiko Kato2
Seiji Zenitani and Tsunehiko Kato
  • 1Kobe University, Kobe, Japan (
  • 2National Astronomical Observatory of Japan, Tokyo, Japan

 Particle-in-cell (PIC) simulation has long been used in theoretical plasma physics. In PIC simulation, the Boris solver is the de-facto standard for solving particle motion, and it has been used over a half century. Meanwhile, there is a continuous demand for better particle solvers. In this contribution, we introduce a family of Boris-type schemes for integrating the motion of charged particles. We call the new solvers the multiple Boris solvers. The new solvers essentially repeat the standard two-step procedure multiple times in the Lorentz-force part, and we derive a single-step form for arbitrary subcycle number n. The new solvers give n2 times smaller errors, allow larger timesteps, but they are computationally affordable for moderate n. The multiple Boris solvers also reduce a numerical error in long-term plasma motion in a relativistic magnetized flow.


  • S. Zenitani & T. N. Kato, Multiple Boris integrators for particle-in-cell simulation, Comput. Phys. Commun. 247, 106954, doi:10.1016/j.cpc.2019.106954 (2020)

How to cite: Zenitani, S. and Kato, T.: Multiple Boris solvers for particle-in-cell (PIC) simulation, EGU General Assembly 2021, online, 19–30 Apr 2021, EGU21-9368,, 2021.


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