Multiple Boris integrators for particle-in-cell simulation
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.
- Publication:
-
Computer Physics Communications
- Pub Date:
- February 2020
- DOI:
- 10.1016/j.cpc.2019.106954
- arXiv:
- arXiv:1905.12112
- Bibcode:
- 2020CoPhC.24706954Z
- Keywords:
-
- Boris integrator;
- Particle-in-cell simulation;
- Lorentz force equation;
- Physics - Computational Physics;
- Astrophysics - High Energy Astrophysical Phenomena;
- Physics - Plasma Physics;
- Physics - Space Physics
- E-Print:
- To appear in Comput. Phys. Commun.
