Multiscale analysis from turbulent time series with wavelet transform. (English) Zbl 0978.76035
Summary: We present a multiscale signal analysis based on the multifractal spectrum obtained by the wavelet transform modulus maxima technique. We analyze time series from turbulent data: the first step is to obtain the PDF of flutuations for velocities records, and then to fit them by means of the Tsallis generalized thermodynamics [C. Tsallis, J. Stat. Phys. 52, 479ff (1998)]; the second step is to obtain the multifractal spectra of time series by the wavelet transform [J. F. Muzy et al., Phys. Rew. Lett. 67, 3515ff (1991)]. The aim of this approach is to investigate a possible phenomenological connection between the entropic parameter \(q\) and the multifractal spectrum for turbulence.
MSC:
| 76F55 | Statistical turbulence modeling |
References:
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