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ANALYSIS OF CHANNEL FLOW USING IMPROVED POLYNOMIAL WAVELETS FOR THE INTERVAL

Markus Uhlmann
Turbulent Flow Group, Institute for Hydromechanics, University of Karlsruhe, 76128 Karlsruhe, Germany

Jochen Frohlich
Institute for Technical Chemistry und Polymer Chemistry University of Karlsruhe; Institute of Fluid Mechanics, Dresden University of Technology, George-Bähr-Str. 3c, D-01062, Germany

Abstrakt

We discuss a discrete orthogonal wavelet basis which fulfills the requisites for the analysis of flow data in bounded domains. Definitions of the scale and position attributes are given for the modes which are not translationally invariant in this case. Visualization techniques are discussed and demonstrated for analytical data. As an application, wall-normal local wavelet spectra are computed from statistical data of turbulent plane channel flow at low Reynolds number. The results show a linear increase of the most energetic scales with wall-distance for all velocity components.