Modeling of plane Couette flow. I. Large scale flow around turbulent spots

Maher Lagha 1, * Paul Manneville 1, *
Abstract : Numerical simulations of a model of plane Couette flow focusing on its in-plane spatio-temporal properties are used to study the dynamics of turbulent spots. While the core of a spot is filled with small-scale velocity fluctuations, a large-scale flow extending far away and occupying the full gap between the driving plates is revealed upon filtering out small scales. It is characterized by streamwise inflow towards the spot and spanwise outflow from the spot, giving it a quadrupolar shape. A correction to the base flow is present within the spot in the form of a spanwise vortex with vorticity opposite in sign to that of the base flow. The Reynolds stresses are shown to be at the origin of this recirculation, whereas the quadrupolar shape of the in-plane flow results from the transport of this recirculation by the base flow that pumps it towards the spot in the streamwise direction and flushes it in the spanwise direction to insure mass conservation. These results shed light on earlier observations in plane Couette flow or other wall flows experiencing a direct transition to turbulence by spot nucleation. © 2007 American Institute of Physics.
Type de document :
Article dans une revue
Physics of Fluids, American Institute of Physics, 2007, 19 (9), pp.094105. 〈10.1063/1.2768946〉
Liste complète des métadonnées

Littérature citée [22 références]  Voir  Masquer  Télécharger

https://hal-polytechnique.archives-ouvertes.fr/hal-01023087
Contributeur : Denis Roura <>
Soumis le : dimanche 20 juillet 2014 - 09:33:30
Dernière modification le : jeudi 10 mai 2018 - 02:03:36
Document(s) archivé(s) le : jeudi 20 novembre 2014 - 18:14:55

Fichier

lagha2007rp-1pp.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

Citation

Maher Lagha, Paul Manneville. Modeling of plane Couette flow. I. Large scale flow around turbulent spots. Physics of Fluids, American Institute of Physics, 2007, 19 (9), pp.094105. 〈10.1063/1.2768946〉. 〈hal-01023087〉

Partager

Métriques

Consultations de la notice

183

Téléchargements de fichiers

137