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SUMMARY:Two-dimensional turbulence on a bounded domain \n– the role of a
 ngular momentum - GertJan van Heijst\,     Eindhoven
DTSTART:20071019T150000Z
DTEND:20071019T160000Z
UID:TALK8162@talks.cam.ac.uk
CONTACT:Nigel Peake
DESCRIPTION:In contrast to its counterpart in the 3D world\, turbulence in
  2D is characterized by an inverse energy cascade. The presence of this in
 verse cascade in 2D turbulence is visible in the so-called self-organizati
 on of such flows: larger vortices and structures are observed to emerge fr
 om initially random flow fields.\n\nThe lecture will address the evolution
  of 2D turbulent flows on a finite domain with no-slip walls. The organize
 d state consists of a large\, domain-filling cell whose motion can be cons
 idered as inviscid. Results of both laboratory experiments in rotating / s
 tratified fluids and numerical simulations\, however\, reveal the crucial 
 role played by the unsteady boundary layers: the domain boundaries act as 
 important sources of large-amplitude vorticity filaments that may influenc
 e the motion in the interior. Attention will be given to global flow quant
 ities like the kinetic energy\, the enstrophy\, and the total angular mome
 ntum. In the case of forced 2D turbulence\, the latter quantity may show a
  remarkable flip-flopping behaviour\, associated with a collapse of the or
 ganized flow state followed by its re-organisation.\n
LOCATION:MR5\, Centre for Mathematical Sciences
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