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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Kinetic energy dissipation and the stability of st
ationary turbulent flows - Dewar\, RC (Australian
National University)
DTSTART;TZID=Europe/London:20131031T093500
DTEND;TZID=Europe/London:20131031T101000
UID:TALK48621AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48621
DESCRIPTION:Variational principles of fluid turbulence offer a
n attractive alternative to numerical solution of
the Navier-Stokes equation\, especially for global
climate studies. I discuss the principle (Max-D)
that certain stationary turbulent flows maximize t
he rate of kinetic energy dissipation of the mean
flow. Following its conjecture as an organizationa
l principle for atmospheric circulation [1]\, Max-
D has gained numerical support from global climate
model simulations [2]. Max-D has also been derive
d for turbulent shear flow in a channel from consi
derations of dynamic stability\, and yields realis
tic predictions for the mean velocity profile at a
ll Reynolds numbers [3]. Further theoretical suppo
rt for Max-D in channel flow has emerged from the
statistical principle of maximum entropy [4]. Tyin
g these threads together may lead to a clearer und
erstanding of the theoretical basis and range of v
alidity of Max-D for global climate studies. I out
line possible approaches to doing this.\n\n[1] Lor
enz EN (1955) Generation of available potential en
ergy and the intensity of the general circulation.
Scientific Report No. 1\, UCLA Large Scale Synopt
ic Processes Project.\n\n[2] Pascale S\, Gregory J
M\, Ambaum MHP\, Tailleux R (2012) A parametric se
nsitivity study of entropy production and kinetic
energy dissipation using the FAMOUS AOGCM. Clim. D
yn. 38\, 1211-1227 and references therein.\n\n[3]
Malkus WVR (2003) Borders of disorders: in turbule
nt channel flow. J. Fluid Mech. 489\, 185-198.\n\n
[4] Dewar RC\, Maritan A (2013) A theoretical basi
s for maximum entropy production. In Beyond the Se
cond Law: Entropy Production and Non-equilibrium S
ystems (eds. RC Dewar\, CH Lineweaver\, RK Niven\,
K Regenauer-Lieb)\, Springer\, in press.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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