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Laminar-turbulent boundary in plane Couette flow.

Authors
  • Schneider, Tobias M
  • Gibson, John F
  • Lagha, Maher
  • De Lillo, Filippo
  • Eckhardt, Bruno
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society
Publication Date
August 2008
Volume
78
Issue
3 Pt 2
Pages
37301–37301
Identifiers
PMID: 18851193
Source
Medline
License
Unknown

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.

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