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   -> Volume 2, Issue 9


Thesis available
 
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Lareef Zubair, Yale University
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PostPosted: Fri Nov 29, 2002 3:31 pm    
Subject: Thesis available
Reply with quote

Thesis available

The thesis described below is available from University Microfilms as well
as postscript files for ftp from the author
requests to - zubair%chaos@venus.ycc.yale.edu
until I find an archive where I can dump them


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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