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

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arxiv 1508.05650 v1 pith:CXJPEXZT submitted 2015-08-23 physics.plasm-ph nlin.AOphysics.comp-phphysics.data-anphysics.flu-dyn

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

classification physics.plasm-ph nlin.AOphysics.comp-phphysics.data-anphysics.flu-dyn
keywords waveletplasmaapplicationsflowspresentedseveralturbulenceturbulent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Wavelet analysis and compression tools are reviewed and different applications to study 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 analyzing, compressing and computing one, two and three dimensional turbulent MHD or plasma flows are presented.

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