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   -> Volume 4, Issue 3


Thesis: Lareef Zubair (ftp site of postscript file).
 
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Lareef Zubair
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PostPosted: Mon Dec 02, 2002 5:45 pm    
Subject: Thesis: Lareef Zubair (ftp site of postscript file).
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Thesis: Lareef Zubair (ftp site of postscript file).

Around June 1993, a postscript version of the thesis of Lareef Zubair was
reported as available from the author in the wavelet digest. It is now
available for anonymous ftp from ftp.funet.fi:pub/sci/papers/misc/ZubairLareef
and is no longer available from the author who may not have internet access.

Studies in Turbulence using Wavelet Transforms for Data
Compression and Scale-Separation

Lareef Zubair
Abstract

Fluid turbulence is characterized by localized structure of multiple scales.
Wavelet transforms are novel techniques which can be used to analyze
localized data with multiple scales efficiently. Motivated by this congruence,
we use wavelet transform to study the structure of turbulent flows.
Wavelet transform is a generic term and we use, in particular,
the continuous wavelet transform and the wavelet-packet transform.

We study the structure of scalar and vortical fields using the continuous
wavelet transform. We assess the wavelet-packet as a tool for data
compression and introduce a wavelet-packet filtering technique.
We use wavelet-packet filtering to pick out features of particular bands of
scales, and based on this delineation, study three facets of the structure of
turbulence -- local isotropy, intermittency and the scaling of structure
functions.

This thesis presents an assessment of the utility of wavelet transforms as
well as a new understanding of some aspects of the structure of turbulence.
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