Laminar-turbulent boundary in plane Couette flow

Abstract : We apply the iterated edge-state tracking algorithm to study the boundary between laminar and turbulent dynamics in plane Couette flow at Re=400. Perturbations that are not strong enough to become fully turbulent or weak enough to relaminarize tend toward a hyperbolic coherent structure in state space, termed the edge state, which seems to be unique up to obvious continuous shift symmetries. The results reported here show that in cases where a fixed point has only one unstable direction, such as for the lower-branch solution in plane Couette flow, the iterated edge tracking algorithm converges to this state. They also show that the choice of initial state is not critical and that essentially arbitrary initial conditions can be used to find the edge state.
Type de document :
Article dans une revue
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 78 (3), pp.037301. 〈10.1103/physreve.78.037301〉
Liste complète des métadonnées

Littérature citée [3 références]  Voir  Masquer  Télécharger

https://hal-polytechnique.archives-ouvertes.fr/hal-01022806
Contributeur : Denis Roura <>
Soumis le : lundi 21 juillet 2014 - 11:53:17
Dernière modification le : lundi 30 juillet 2018 - 11:20:21
Document(s) archivé(s) le : jeudi 20 novembre 2014 - 18:13:40

Fichier

PhysRevE.78.037301.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

Citation

Tobias M. Schneider, John F. Gibson, Maher Lagha, Filippo De Lillo, Bruno Eckhardt. Laminar-turbulent boundary in plane Couette flow. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 78 (3), pp.037301. 〈10.1103/physreve.78.037301〉. 〈hal-01022806〉

Partager

Métriques

Consultations de la notice

144

Téléchargements de fichiers

199