2015/08/23 by Marie Farge, Kai Schneider · 47 citations
Computer Science · Engineering · Physics and Astronomy · #Continuous wavelet transform #Fluid Dynamics and Turbulent Flows #Image and Signal Denoising Methods #Magnetohydrodynamics #Multiresolution analysis #Plasma #Statistical Mechanics and Entropy #Turbulence #Wavelet #Wavelet transform #msc:65R32 #msc:65T60 #msc:76F05 #msc:76F55 #msc:76F65 #msc:76M28 #msc:76W05 #msc:82D10 #nlin.AO #physics.comp-ph #physics.data-an #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1017/s0022377815001075
published in Journal of Plasma Physics 81(6) (Cambridge University Press) · Journal of Plasma Physics, 2015
arxiv created 2015/08/23 · openalex publication_date 2015/10/12 · arxiv updated 2015/10/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.