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

M. Sasaki, Y. Kawachi, R. O. Dendy, H. Arakawa, N. Kasuya, F. Kin, K. Yamasaki, S. Inagaki

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number112001
JournalPlasma Physics and Controlled Fusion
Volume61
Issue number11
DOIs
Publication statusPublished - Oct 11 2019

Fingerprint

Plasma simulation
Turbulence
turbulence
Decomposition
decomposition
cycles
simulation
Convolution
Physics
output
Plasmas
convolution integrals
Computer simulation
physics

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Condensed Matter Physics

Cite this

Using dynamical mode decomposition to extract the limit cycle dynamics of modulated turbulence in a plasma simulation. / Sasaki, M.; Kawachi, Y.; Dendy, R. O.; Arakawa, H.; Kasuya, N.; Kin, F.; Yamasaki, K.; Inagaki, S.

In: Plasma Physics and Controlled Fusion, Vol. 61, No. 11, 112001, 11.10.2019.

Research output: Contribution to journalArticle

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