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SUMMARY:Kinetic energy dissipation and the stability of stationary turbule
 nt flows - Dewar\, RC (Australian National University)
DTSTART:20131031T093500Z
DTEND:20131031T101000Z
UID:TALK48621@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Variational principles of fluid turbulence offer an attractive
  alternative to numerical solution of the Navier-Stokes equation\, especia
 lly for global climate studies. I discuss the principle (Max-D) that certa
 in stationary turbulent flows maximize the rate of kinetic energy dissipat
 ion of the mean flow. Following its conjecture as an organizational princi
 ple for atmospheric circulation [1]\, Max-D has gained numerical support f
 rom global climate model simulations [2]. Max-D has also been derived for 
 turbulent shear flow in a channel from considerations of dynamic stability
 \, and yields realistic predictions for the mean velocity profile at all R
 eynolds numbers [3]. Further theoretical support for Max-D in channel flow
  has emerged from the statistical principle of maximum entropy [4]. Tying 
 these threads together may lead to a clearer understanding of the theoreti
 cal basis and range of validity of Max-D for global climate studies. I out
 line possible approaches to doing this.\n\n[1] Lorenz EN (1955) Generation
  of available potential energy and the intensity of the general circulatio
 n. Scientific Report No. 1\, UCLA Large Scale Synoptic Processes Project.\
 n\n[2] Pascale S\, Gregory JM\, Ambaum MHP\, Tailleux R (2012) A parametri
 c sensitivity study of entropy production and kinetic energy dissipation u
 sing the FAMOUS AOGCM. Clim. Dyn. 38\, 1211-1227 and references therein.\n
 \n[3] Malkus WVR (2003) Borders of disorders: in turbulent channel flow. J
 . Fluid Mech. 489\, 185-198.\n\n[4] Dewar RC\, Maritan A (2013) A theoreti
 cal basis for maximum entropy production. In Beyond the Second Law: Entrop
 y Production and Non-equilibrium Systems (eds. RC Dewar\, CH Lineweaver\, 
 RK Niven\, K Regenauer-Lieb)\, Springer\, in press.\n
LOCATION:Seminar Room 1\, Newton Institute
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