### 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 language | English |
---|---|

Article number | 112001 |

Journal | Plasma Physics and Controlled Fusion |

Volume | 61 |

Issue number | 11 |

DOIs | |

Publication status | Published - Oct 11 2019 |

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### All Science Journal Classification (ASJC) codes

- Nuclear Energy and Engineering
- Condensed Matter Physics

### Cite this

*Plasma Physics and Controlled Fusion*,

*61*(11), [112001]. https://doi.org/10.1088/1361-6587/ab471b

**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.

Research output: Contribution to journal › Article

*Plasma Physics and Controlled Fusion*, vol. 61, no. 11, 112001. https://doi.org/10.1088/1361-6587/ab471b

}

TY - JOUR

T1 - Using dynamical mode decomposition to extract the limit cycle dynamics of modulated turbulence in a plasma simulation

AU - Sasaki, M.

AU - Kawachi, Y.

AU - Dendy, R. O.

AU - Arakawa, H.

AU - Kasuya, N.

AU - Kin, F.

AU - Yamasaki, K.

AU - Inagaki, S.

PY - 2019/10/11

Y1 - 2019/10/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85074954073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85074954073&partnerID=8YFLogxK

U2 - 10.1088/1361-6587/ab471b

DO - 10.1088/1361-6587/ab471b

M3 - Article

AN - SCOPUS:85074954073

VL - 61

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 11

M1 - 112001

ER -