Orthonormal Wavelet Expansion and Its Application to Turbulence

Michio Yamada, Koji Ohkitani · Progress of Theoretical Physics · 1990

Orthonormal wavelet expansion is applied to experimental data of turbulence. A direct relation is found between the wavelet spectrum and the Fourier spectrum. The orthonormal wavelet analysis with conditional sampling is applied to data of wind turbulence, yielding Kolmogorov’s spectrum and the dissipation correlation with the intermittency exponent µ≃0.2.

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