Li, Y, He, Y, Sun, Y et al. (3 more authors) (2019) Solving the Vlasov–Maxwell equations using Hamiltonian splitting. Journal of Computational Physics, 396. pp. 381-399. ISSN 0021-9991
Abstract
In this paper, the numerical discretizations based on Hamiltonian splitting for solving the Vlasov–Maxwell system are constructed. We reformulate the Vlasov–Maxwell system in Morrison–Marsden–Weinstein Poisson bracket form. Then the Hamiltonian of this system is split into five parts, with which five corresponding Hamiltonian subsystems are obtained. The splitting method in time is derived by composing the solutions to these five subsystems. Combining the splitting method in time with the Fourier spectral method and finite volume method in space gives the full numerical discretizations which possess good conservation for the conserved quantities including energy, momentum, charge, etc. In numerical experiments, we simulate the Landau damping, Weibel instability and Bernstein wave to verify the numerical algorithms.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019, Elsevier. All rights reserved. This is an author produced version of an article published in Journal of Computational Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Vlasov–Maxwell system; Poisson bracket; Hamiltonian splitting method |
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: | 05 Jul 2019 09:38 |
Last Modified: | 04 Jul 2020 00:38 |
Status: | Published |
Publisher: | Elsevier Inc. |
Identification Number: | 10.1016/j.jcp.2019.06.070 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:148180 |