Multiscale quasi-time-periodic coherent structures in shear flows

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Authors: Runjie Song, Kengo Deguchi, Genta Kawahara, Yongyun Hwang
Cited by: 1
References: 27

Abstract

Attempts to disentangle shear-flow turbulence often focus on identifying relatively simple solutions, such as travelling waves or periodic orbits. We show, however, that capturing multiscale features requires considering states at least as complex as quasi-time-periodic solutions. Approximations of these states can be computed efficiently using a quasi-linear model, consistent with the large-Reynolds-number asymptotic analysis. The quasi-linear structure is key to producing multiscale critical layers that generate vortices obeying Taylor’s frozen-flow hypothesis.

Fields of Study & Subjects

Fluid Dynamics and Turbulent Flows Nonlinear Dynamics and Pattern Formation Ocean Waves and Remote Sensing

Publication details

Journal / source
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Volume
1034
Publication date
4 May 2026
Language
EN