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   -> Volume 5, Issue 7

Preprint: Local atmospheric energetics using orthogonal wavelets
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"Aime' Fournier" (

PostPosted: Tue Aug 20, 1996 8:54 pm    
Subject: Preprint: Local atmospheric energetics using orthogonal wavelets
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#1 Preprint: Local atmospheric energetics using orthogonal wavelets

A new preprint,

"Wavelet analysis of observed geopotential and wind: blocking and
local energy coupling across scales" (SPIE proceedings series volume
2825: Wavelet Applications in Signal and Image Processing IV, editors
M.A. Unser, A. Aldroubi and A.F. Laine, 6-9 August 1996, Denver)

and two old preprints,

"Wavelet multiresolution analysis of numerically simulated 3d
radiative convection"

"Wavelet representation of lower-atmospheric long nonlinear wave
dynamics, governed by the Benjamin-Davis-Ono-Burgers equation" (WD 5.2

are now all available at


or by request.

Here is the abstract of the new preprint:

Atmospheric blocking during three unusual winter months is studied by
multiresolution analysis and a wavelet based adaptation of traditional
Fourier series based energetics. We demonstrate that blocking, in
part a large and localized meteorological phenomenon, is largely
described by just the largest scale part of the multiresolution
analysis. New forms of the transfer functions of kinetic energy with
the mean and eddy parts of the atmospheric circulation are introduced.
These quantify the spatially localized conversion of energy between
scales. A new accounting method for wavelet indexed transfers permits
the introduction of a physically meaningful localized scale flux
function. These techniques are applied to the data, and some support
is found for the hypothesis that blocking is partially maintained by
an inverse cascade.

Keywords: atmospheric blocking, energetics, kinetic energy flux
function, kinetic energy transfer, inverse cascades, multiresolution
analysis, wavelet, scale interactions, low frequency atmospheric

(This work made use of WaveLab,

Comments would be appreciated.

Aime' Fournier

Yale University
Department of Geology and Geophysics
tel: 203 432 3146 fax: 203 432 3134
All times are GMT + 1 Hour
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