Modeling the direct transition to turbulence

Abstract : After a brief summary of experimental results focussed on plane Couette flow and contrasting the low-Reynolds numbers transition between laminar flow and the turbulent spot regime, with its high-Reynolds counterpart between homogeneous turbulence and turbulent stripes, we introduce a hierarchy of models from conceptual models designed to answer the most basic questions to semi-realistic models more adapted to the study of specific topics. Among conceptual models we distinguish between low-dimensional deterministic dynamical systems apt to analyze problems linked to attractor coexistence and basin boundaries, stochastic models more appropriate to studying the role of noise in the natural transition, and models derived from statistical mechanics focussed on the "macroscopic" growth of turbulent patches in the triggered transition. Semi-realistic models separating cross-stream and in-plane variables are designed in view of concrete analysis of processes at a more "microscopic" scale, related to pattern formation and space-time chaos studies. © 2005 Springer.
Type de document :
Chapitre d'ouvrage
Tom Mullin, Rich Kerswell. IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, 77 (-), Springer, pp.01/01/1933, 2005, Fluid Mechanics and its Applications, 978-1-4020-4048-1. 〈10.1007/1-4020-4049-0_1〉
Liste complète des métadonnées

https://hal-polytechnique.archives-ouvertes.fr/hal-01024963
Contributeur : Denis Roura <>
Soumis le : jeudi 17 juillet 2014 - 10:15:19
Dernière modification le : jeudi 10 mai 2018 - 02:03:01

Lien texte intégral

Identifiants

Collections

Citation

Paul Manneville. Modeling the direct transition to turbulence. Tom Mullin, Rich Kerswell. IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, 77 (-), Springer, pp.01/01/1933, 2005, Fluid Mechanics and its Applications, 978-1-4020-4048-1. 〈10.1007/1-4020-4049-0_1〉. 〈hal-01024963〉

Partager

Métriques

Consultations de la notice

84