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Using dynamical mode decomposition to extract the limit cycle dynamics of modulated turbulence in a plasma simulation

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Sasaki, Motoko, Kawachi, Y., Dendy, Richard, Arakawa, H., Kasuya, N., Kin, F., Yamasaki, K. and Inagaki, S. (2019) Using dynamical mode decomposition to extract the limit cycle dynamics of modulated turbulence in a plasma simulation. Plasma Physics and Controlled Fusion, 61 (11). 112001. doi:10.1088/1361-6587/ab471b

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Official URL: http://dx.doi.org/10.1088/1361-6587/ab471b

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Abstract

The novel technique of dynamical mode decomposition (DMD) is applied to the outputs of a numerical simulation of Kelvin–Helmholtz turbulence in a cylindical plasma, so as to capture and quantify the time evolution of the dominant nonlinear structures. Empirically, these structures comprise rotationally symmetric deformations together with spiral patterns, and they are found to be identified as the main modes of the DMD. A new method to calculate the time evolution of DMD mode amplitudes is proposed, based on convolution-type correlation integrals, and then applied to the simulation outputs in a limit cycle regime. The resulting time traces capture the essential physics far better than Fourier techniques applied to the same data.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Plasma (Ionized gases), Plasma (Ionized gases) -- Computer simulation, Nonlinear theories, Differentiable dynamical systems, Controlled fusion
Journal or Publication Title: Plasma Physics and Controlled Fusion
Publisher: Institute of Physics Publishing Ltd.
ISSN: 0741-3335
Official Date: 11 October 2019
Dates:
DateEvent
11 October 2019Published
24 September 2019Available
19 September 2019Accepted
Date of first compliant deposit: 14 October 2019
Volume: 61
Number: 11
Article Number: 112001
DOI: 10.1088/1361-6587/ab471b
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: "This is an author-created, un-copyedited version of an article accepted for publication in Plasma Physics and Controlled Fusion. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1361-6587/ab471b”
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
16K18335[JSPS] Japan Society for the Promotion of Sciencehttp://dx.doi.org/10.13039/501100001691
17H06089[JSPS] Japan Society for the Promotion of Sciencehttp://dx.doi.org/10.13039/501100001691
15H02335[JSPS] Japan Society for the Promotion of Sciencehttp://dx.doi.org/10.13039/501100001691
NIFS17KNST122National Institute for Fusion Sciencehttp://dx.doi.org/10.13039/501100006325
NIFS18KNST137National Institute for Fusion Sciencehttp://dx.doi.org/10.13039/501100006325
NB80645028Kyushu Universityhttp://dx.doi.org/10.13039/501100004096
633053FP7 Fusion Energy Researchhttp://dx.doi.org/10.13039/100011270
EP/P012450/1Research Councils UKhttp://dx.doi.org/10.13039/501100000690

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