On the Boris solver in particle-in-cell simulation

Seiji Zenitani; Takayuki Umeda

doi:10.1063/1.5051077

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arXiv · 1809.04378

On the Boris solver in particle-in-cell simulation

Seiji Zenitani·Takayuki Umeda

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Abstract

A simple form of the Boris solver in particle-in-cell (PIC) simulation is proposed. It employs an exact solution of the Lorentz-force part, and it is equivalent to the Boris solver with a gyrophase correction. As a favorable property for stable schemes, this form preserves a volume in the phase space. Numerical tests of the Boris solvers are conducted by test-particle simulations and by PIC simulations. The proposed form provides better accuracy than the popular form, while it only requires few additional computation time.

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Seiji Zenitani, Takayuki Umeda. 2018-10-31. On the Boris solver in particle-in-cell simulation. https://doi.org/10.1063/1.5051077

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