Li, Y, He, Y, Sun, Y et al. (3 more authors) (2017) Solving Vlasov-Maxwell equations by using Hamiltonian splitting. In: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016). ICNAAM 2016: 14th International Conference of Numerical Analysis and Applied Mathematics, 19-25 Sep 2016, Rhodes, Greece. AIP Conference Proceedings (1863). AIP Publishing ISBN 978-0-7354-1538-6
Abstract
In this paper, we reformulate the Vlasov-Maxwell equations based on the Morrison-Marsden-Weinstein Poisson bracket. In order to get the numerical solutions preserving the Poisson bracket, we split the Hamiltonian of the Vlasov-Maxwell equations into five parts. We construct the numerical methods for the time direction via composing the exact solutions of subsystems. By combining an appropriate spatial discretization, we can prove that the resulting numerical discretization preserves the discrete Poisson bracket. We present numerical simulations for the problems of Landau damping and two-stream stability.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 AIP Publishing LLC. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016), and may be found at https://doi.org/10.1063/1.4992343. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Hamiltonian splitting, Poisson bracket, Vlasov-Maxwell 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) |
Funding Information: | Funder Grant number Royal Society 2014 China NSFC |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Aug 2017 09:22 |
Last Modified: | 21 Jul 2018 00:38 |
Status: | Published |
Publisher: | AIP Publishing |
Series Name: | AIP Conference Proceedings |
Identification Number: | 10.1063/1.4992343 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:120254 |