Smedt, K, Ruprecht, D, Niesen, J orcid.org/0000-0002-6693-3810 et al. (2 more authors) (2023) New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations. Applied Mathematics and Computation, 442. 127706. ISSN 0096-3003
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Boris integrator; spectral deferred corrections; particle-in-cell (PIC); relativistic Lorentz equations |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Dec 2022 21:31 |
Last Modified: | 18 Dec 2022 21:31 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.amc.2022.127706 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:194243 |