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Travelling-wave solutions bifurcating from relative periodic orbits in plane Poiseuille flow

Rawat, Subhandu and Cossu, Carlo and Rincon, François Travelling-wave solutions bifurcating from relative periodic orbits in plane Poiseuille flow. (2016) Comptes Rendus de l'Academie des Sciences - Series IIB - Mechanics, 344 (6). 448-455. ISSN 1631-0721

(Document in English)

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Official URL: http://dx.doi.org/10.1016/j.crme.2015.12.005


Travelling-wave solutions are shown to bifurcate from relative periodic orbits in plane Poiseuille flow at Re = 2000 in a saddle-node infinite-period bifurcation. These solutions consist in self-sustaining sinuous quasi-streamwise streaks and quasi-streamwise vortices located in the bulk of the flow. The lower branch travelling-wave solutions evolve into spanwise localized states when the spanwise size L z of the domain in which they are computed is increased. On the contrary, the upper branch of travelling-wave solutions develops multiple streaks when L z is increased. Upper-branch travelling-wave solutions can be continued into coherent solutions to the filtered equations used in large-eddy simulations where they represent turbulent coherent large-scale motions.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The original PDF of the article can be found at http://www.sciencedirect.com/science/article/pii/S163107211600005X
HAL Id:hal-01557352
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National d'Études Spatiales - CNES (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
PRES Université de Toulouse - Région Midi-Pyrénées
Deposited On:06 Jul 2017 08:17

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