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Title: Regeneration cycle and the covariant Lyapunov vectors in a minimal wall turbulence.
Authors: Inubushi, Masanobu
Takehiro, Shin-Ichi  kyouindb  KAKEN_id  orcid (unconfirmed)
Yamada, Michio  kyouindb  KAKEN_id
Author's alias: 山田, 道夫
Issue Date: 24-Aug-2015
Publisher: American Physical Society
Journal title: Physical review E
Volume: 92
Issue: 2
Thesis number: 023022
Abstract: Considering a wall turbulence as a chaotic dynamical system, we study regeneration cycles in a minimal wall turbulence from the viewpoint of orbital instability by employing the covariant Lyapunov analysis developed by [F. Ginelli et al. Phys. Rev. Lett. 99, 130601 (2007)PRLTAOPRLTAO0031-900710.1103/PhysRevLett.99.130601]. We divide the regeneration cycle into two phases and characterize them with the local Lyapunov exponents and the covariant Lyapunov vectors of the Navier-Stokes turbulence. In particular, we show numerically that phase (i) is dominated by instabilities related to the sinuous mode and the streamwise vorticity, and there is no instability in phase (ii). Furthermore, we discuss a mechanism of the regeneration cycle, making use of an energy budget analysis.
Rights: ©2015 American Physical Society
DOI(Published Version): 10.1103/PhysRevE.92.023022
PubMed ID: 26382518
Appears in Collections:Journal Articles

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