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- Julius Rhoan T. Lustro
- Department of Mechanical Engineering, University of the Philippines Diliman 1 , Magsaysay Avenue, Diliman, Quezon City, Metro Manila 1101, Philippines
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- Yudai Shimizu
- Graduate School of Engineering Science, Osaka University 2 , 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
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- Genta Kawahara
- Graduate School of Engineering Science, Osaka University 2 , 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
書誌事項
- 公開日
- 2023-06-01
- 資源種別
- journal article
- DOI
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- 10.1063/5.0133492
- 公開者
- AIP Publishing
この論文をさがす
説明
<jats:p>We identify the presence of three homoclinic bifurcations that are associated with edge states in a system that is governed by the full Navier–Stokes equation. In plane Couette flow with a streamwise period slightly longer than the minimal unit, we describe a rich bifurcation scenario that is related to new time-periodic solutions and the Nagata steady solution [M. Nagata, J. Fluid Mech. 217, 519–527 (1990)]. In this computational domain, the vigorous time-periodic solution (PO3) with comparable fluctuation amplitude to turbulence and the lower branch of the Nagata steady solution are considered as edge states at different ranges of Reynolds number. These edge states can help in understanding the mechanism of subcritical transition to turbulence in wall-bounded shear flows. At the Reynolds numbers at which the homoclinic bifurcations occur, we find the creation (or destruction) of the time-periodic solutions. At a higher Reynolds number, we observe the edge state switching from the lower-branch Nagata steady solution to PO3 at the creation of this vigorous cycle due to the homoclinic bifurcation. Consequently, the formation of the boundary separating the basins of attraction of the laminar attractor and the time-periodic/chaotic attractor also switches to the respective stable manifolds of the edge states, providing a change in the behavior of a typical amplitude of perturbation toward triggering the transition to turbulence.</jats:p>
収録刊行物
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- Chaos: An Interdisciplinary Journal of Nonlinear Science
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Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (6), 2023-06-01
AIP Publishing
