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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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WRAP-using-dynamical-mode-decomposition-turbulence-plasma-Dendy-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1655Kb) | Preview |
Official URL: http://dx.doi.org/10.1088/1361-6587/ab471b
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 | |||||||||||||||||||||||||||
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| 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: |
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| 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 | |||||||||||||||||||||||||||
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