Orthonormal wavelet analysis of turbulence
- 1 October 1991
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 8 (1-4) , 101-115
- https://doi.org/10.1016/0169-5983(91)90034-g
Abstract
The orthonormal wavelet expansion method is applied to data of atmospheric turbulence extending over more than two decades in Kolmogorov's inertial subrange. First, the orthonormal wavelet expansion is described and a numerical scheme for the expansion coefficients is proposed. Then, by the use of the orthonormal wavelets, several characteristics of turbulence are discussed in comparison with those of artificial, random noise. In particular, the local wavelet spectra of turbulence show a similarity structure, which is absent in the artificial random noise and is identified with the trace of the energy cascade process.Keywords
This publication has 24 references indexed in Scilit:
- Statistical properties of two-dimensional magnetohydrodynamic turbulencePhysics of Fluids B: Plasma Physics, 1990
- Direct determination of the f(α) singularity spectrum and its application to fully developed turbulencePhysical Review A, 1989
- Wavelet analysis of turbulence reveals the multifractal nature of the Richardson cascadeNature, 1989
- Wavelet transform of fractal aggregatesPhysics Letters A, 1989
- Wavelet Transform Analysis of Invariant Measures of Some Dynamical SystemsPublished by Springer Nature ,1989
- WaveletsPublished by Springer Nature ,1989
- Wavelet Transform of MultifractalsPhysical Review Letters, 1988
- Orthonormal bases of compactly supported waveletsCommunications on Pure and Applied Mathematics, 1988
- A block spin construction of ondelettes. Part I: Lemarié functionsCommunications in Mathematical Physics, 1987
- High-order velocity structure functions in turbulent shear flowsJournal of Fluid Mechanics, 1984