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Wavelet transforms and their applications to MHD and plasma turbulence: a review

Part of: ITER International School 2014

Published online by Cambridge University Press:  12 October 2015

Marie Farge  and
Kai Schneider
Marie Farge
Affiliation:
LMD-CNRS, Ecole Normale Supérieure 24, Rue Lhomond, 75231 Paris CEDEX 6, France
Kai Schneider*
Affiliation:
M2P2-CNRS, Aix-Marseille Université 38, Rue Frédéric Joliot-Curie, 13451 Marseille CEDEX 13, France
*
†Email address for correspondence: kschneid@cmi.univ-mrs.fr
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Abstract

Wavelet analysis and compression tools are reviewed and different applications for the study of MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics based on the wavelet coefficients. We then show how to extract coherent structures out of fully developed turbulent flows using wavelet-based denoising. Finally some multiscale numerical simulation schemes using wavelets are described. Several examples for analysing, compressing and computing one-, two- and three-dimensional turbulent MHD or plasma flows are presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 6 , December 2015 , 435810602
Copyright
© Cambridge University Press 2015 

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