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SUMMARY:Invariant solutions and visualization of dynamics in plane Couette
  flow - Gibson\, JF (Georgia Institute of Technology)
DTSTART:20080909T103000Z
DTEND:20080909T105000Z
UID:TALK13342@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:It has recently become possible to compute precise equilibrium
 \, traveling wave\, and periodic orbit solutions to pipe and plane Couette
  flow at moderate Reynolds numbers. These invariant solutions capture the 
 complex dynamics of rolls and streaks (coherent structures) in wall-bounde
 d flows and provide a framework for understanding turbulent flows as dynam
 ical systems. We present (1) a number of weakly unstable equilibria\, trav
 eling waves\, and periodic orbits of plane Couette flow\, (2) visualizatio
 ns of their physical and state-space dynamics\, and (3) statistics on how 
 frequently the solutions appear within turbulent flows. What emerges is a 
 picture of moderate-Reynolds turbulence as a walk among a set of weakly un
 stable invariant solutions.
LOCATION:Seminar Room 1\, Newton Institute
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