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Phys. Rev. Lett. 94, 014502 (2005) [4 pages]

Computational Study of Turbulent Laminar Patterns in Couette Flow

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Dwight Barkley*
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Laurette S. Tuckerman
LIMSI-CNRS, BP 133, 91403 Orsay, France

Received 29 March 2004; published 7 January 2005

Turbulent-laminar patterns near transition are simulated in plane Couette flow using an extension of the minimal-flow-unit methodology. Computational domains are of minimal size in two directions but large in the third. The long direction can be tilted at any prescribed angle to the streamwise direction. Three types of patterned states are found and studied: periodic, localized, and intermittent. These correspond closely to observations in large-aspect-ratio experiments.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.014502
DOI:
10.1103/PhysRevLett.94.014502
PACS:
47.20.–k, 47.27.–i, 47.54.+r, 47.60.+i

*Electronic address: barkley@maths.warwick.ac.uk

URL: www.maths.warwick.ac.uk/~barkley

Electronic address: laurette@limsi.fr

URL: www.limsi.fr/Individu/laurette