Standard classical turbulence theories assume homogeneity and isotropy. However, turbulence found in reality, including those in the atmosphere (not only in the boundary layer), hardly satisfies those conditions. Instead, typical turbulence involves extensive intermittencies, associated with coherencies, with the latter often take pluse-like structures.
Unfortunately, a standard analysis method based on Fourier transform is often not appropriate to quantify those realistic turbulence characteristics, due to its "global" nature of quantifications.
In this talk, I propose the wavelet as an alternative methodology for the quantifications by exploiting its capacity of both the scales and the localizations of the structures.
PRESENTATION SLIDES: Intermittency, coherency, pulse: wavelet-based analyses