GABOR TRANSFORM AND INTERMITTENCY IN TURBULENCE

Intermittency effects basically limited to the viscous subrange contaminate the Gabor filtering analysis in the inertial subrange. The contamination decreases with an increase in the quality factor of the filter, and the Gabor transform coefficients of turbulent velocity have scaling properties approaching the Kolmogorov scaling. In the limit of an infinitely long inertial range, there is no anomalous scaling, i.e., no non-Gaussianity. The wavelet transform coefficients of turbulent velocity and its structure functions follow probability rules depending on the scales extracted by analyzing wavelet functions. This anomalous scaling property is produced by the intermittency effects inherent in the viscous subrange. The structure functions cannot extract properties in a pure inertial subrange. © 1995 The American Physical Society.