Comptes Rendus
Short paper
Oblique and streamwise vortex paths in a plane Couette flow using a RNL system
Comptes Rendus. Mécanique, Volume 348 (2020) no. 12, pp. 959-968.

This paper revisits oblique wave and streamwise vortex scenarios in a plane Couette flow using restricted nonlinear simulations, where only a single Fourier mode for perturbation is retained. It is shown that this restriction of full dynamics gives a good approximation of the two subcritical paths. In particular, critical energy thresholds and edge states compare favorably with results obtained using direct numerical simulations by Duguet et al. (Phys. Rev. E 82 (2010), 026316).

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Published online:
DOI: 10.5802/crmeca.55
Keywords: Shear flows, Subcritical transition, Reduced order model, Edge states, Plane Couette flow
Frédéric Alizard 1

1 LMFA, UMR 5509, Univ Lyon, Université Claude Bernard Lyon 1, École Centrale de Lyon, INSA Lyon, CNRS, 43 Boulevard du 11 Novembre 1918, F-69100, Villeurbanne, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
     author = {Fr\'ed\'eric Alizard},
     title = {Oblique and streamwise vortex paths in a plane {Couette} flow using a {RNL} system},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {959--968},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {12},
     year = {2020},
     doi = {10.5802/crmeca.55},
     language = {en},
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JO  - Comptes Rendus. Mécanique
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VL  - 348
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PB  - Académie des sciences, Paris
DO  - 10.5802/crmeca.55
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%0 Journal Article
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%T Oblique and streamwise vortex paths in a plane Couette flow using a RNL system
%J Comptes Rendus. Mécanique
%D 2020
%P 959-968
%V 348
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%I Académie des sciences, Paris
%R 10.5802/crmeca.55
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Frédéric Alizard. Oblique and streamwise vortex paths in a plane Couette flow using a RNL system. Comptes Rendus. Mécanique, Volume 348 (2020) no. 12, pp. 959-968. doi : 10.5802/crmeca.55.

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