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CATEGORIES:Fluid Mechanics (DAMTP)
SUMMARY:Energy cascades in rotating and stratified turbule
nce - Erik Lindborg (KTH)
DTSTART;TZID=Europe/London:20130531T160000
DTEND;TZID=Europe/London:20130531T170000
UID:TALK44331AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/44331
DESCRIPTION:We present numerical and theoretical results on th
e energy cascade in a number of hydrodynamical sys
tems. The systems that we study are the 2-D Navier
-Stokes equations\, the quasi-geostropophic equati
ons\, the so called primitive equations\, in which
hydrostatic balance is assumed and the Boussinesq
equations. We find that the parameter which is re
gulating the strength of the downscale energy casc
ade is the Rossby number\, with a decreasing amoun
t of energy going into a downscale energy cascade
with increasing rate of rotation. Stratification\,
on the other hand\, does not inhibit a downscale
energy cascade. Based on the primitive equations\,
we also present a new formulation of the spectral
energy budged of the atmosphere\, with spherical
harmonics as base functions. Using this formulatio
n we analyze data from two General Circulation Mod
els. In one of the models we find evidence of a s
trong downscale energy cascade starting at 1000 km
scales. In the other model\, the cascade is inhib
ited by strongly dissipative processes at these sc
ales
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberfor
ce Road\, Cambridge
CONTACT:Dr Ed Brambley
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