Plasma and Fusion Research

Volume 15, 1301001 (2020)

Letters


Sparsity-Promoting Dynamic Mode Decomposition of Plasma Turbulence
Akira KUSABA, Tetsuji KUBOYAMA and Shigeru INAGAKI1)
Computer Centre, Gakushuin University, 1-5-1 Mejiro, Toshima-ku 171-8588, Japan
1)
Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasuga-koen, Kasuga 816-8580, Japan
(Received 3 October 2019 / Accepted 27 November 2019 / Published 6 January 2020)

Abstract

A data-driven approach called sparsity-promoting dynamic mode decomposition (SP-DMD) is applied to the plasma turbulence signals obtained with an azimuthal probe array. The spatiotemporal turbulence can be reasonably decomposed into seven modes which capture the azimuthal bunching of the turbulence. A superiority of the DMD analysis to the conventional stationary analysis is demonstrated.


Keywords

data-driven modelling, spatiotemporal data, dynamic mode decomposition

DOI: 10.1585/pfr.15.1301001


References

  • [1] W. Horton, Rev. Mod. Phys. 71, 735 (1999).
  • [2] H. Arakawa, S. Inagaki, M. Sasaki, Y. Kosuga, T. Kobayashi, N. Kasuya, Y. Nagashima, T. Yamada, M. Lesur, A. Fujisawa et al., Sci. Rep. 6, 33371 (2016).
  • [3] P.H. Diamond, S.I. Itoh, K. Itoh and T.S. Hahm, Plasma Phys. Control. Fusion 47, R35 (2005).
  • [4] S. Inagaki, T. Kobayashi, Y. Kosuga, S.I. Itoh, T. Mitsuzono, Y. Nagashima, H. Arakawa, T. Yamada, Y. Miwa, N. Kasuya et al., Sci. Rep. 6, 22189 (2016).
  • [5] S. Inagaki, Y. Miwa, T. Kobayashi, T. Yamada, Y. Nagashima, T. Mitsuzono, H. Fujino, M. Sasaki, N. Kasuya, M. Lesur et al., Plasma Fusion Res. 9, 1201016 (2014).
  • [6] M. Hino, Spectral analysis (Asakura Shoten, Tokyo, 1977) in Japanese.
  • [7] Y. Kawachi, S. Inagaki, K. Tomita, K. Yamasaki, F. Kin, Y. Kosuga, M. Sasaki, Y. Nagashima, N. Kasuya, K. Hasamada et al., Plasma Fusion Res. 13, 3401105 (2018).
  • [8] P.J. Schmid, J. Fluid Mech. 656, 5 (2010).
  • [9] C.W. Rowley, I. Mezić, S. Bagheri, P. Schlatter and D.S. Henningson, J. Fluid Mech. 641, 115 (2009).
  • [10] J.H. Tu, C.W. Rowley, D.M. Luchtenburg, S.L. Brunton and J.N. Kutz, arXiv preprint arXiv:1312.0041 (2013).
  • [11] M.R. Jovanović, P.J. Schmid and J.W. Nichols, Phys. Fluids 26, 024103 (2014).
  • [12] T. Yamada, S.I. Itoh, T. Maruta, N. Kasuya, Y. Nagashima, S. Shinohara, K. Terasaka, M. Yagi, S. Inagaki, Y. Kawai et al., Nat. Phys. 4, 721 (2008).