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

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.

Marie Farge, Kai Schneider. Wavelet transforms and their applications to MHD and plasma turbulence: a review. Journal of Plasma Physics, Cambridge University Press (CUP), 2015, 81 (06), pp.435810602. ⟨10.1017/S0022377815001075⟩. ⟨hal-01299264⟩

Journal: Journal of Plasma Physics

Date de publication: 01-12-2015

Auteurs:
  • Marie Farge
  • Kai Schneider

Digital object identifier (doi): http://dx.doi.org/10.1017/S0022377815001075

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