New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations

Kris Smedt, Daniel Ruprecht, Jitse Niesen, Steven Tobias and Joonas Nättilä

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: The paper investigates two new use cases for the Boris Spectral Deferred Corrections (Boris-SDC) time integrator for plasma simulations. First, we show that using Boris-SDC as a particle pusher in an electrostatic particle-in-cell (PIC) code can, at least in the linear regime, improve simulation accuracy compared with the standard second order Boris method. In some instances, the higher order of Boris-SDC even allows a much larger time step, leading to modest computational gains. Second, we propose a modification of Boris-SDC for the relativistic regime. Based on an implementation of Boris-SDC in the RUNKO PIC code, we demonstrate for a relativistic Penning trap that Boris-SDC retains its high order of convergence for velocities ranging from 0.5c to >0.99c.

Keywords: Boris integrator; spectral deferred corrections; particle-in-cell (PIC); relativistic Lorentz equations (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322007743

DOI: 10.1016/j.amc.2022.127706

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