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MULTI-SCALE ANALYSIS OF CHANNEL TURBULENCE IN WALL-NORMAL DIRECTION BY NONUNIFORM SPLINE WAVELETS ON [-1,1]

Xin Zhao
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P.R. China

Chunxiao Xu
Department of Engineering Mechanics Tsinghua University Beijing 100084, PR China

Guixiang Cui
Department of Engineering Mechanics, Tsinghua University, Beijing, China 100084

Abstrakt

In present study, the nonuniform spline wavelets on finite interval are constructed and applied to the analysis of the data from a turbulent channel flow at Reτ = 173 obtained by direct numerical simulation. The global and local energy spectra in wall-normal direction of Reynolds stress {u'u'), {v'v') and {w'w') are obtained, and the results provide us with quantitative scale information in wall-normal direction. The presently constructed wavelets is proved to be an efficient tool for the multiscale decomposition of wall turbulence and it can be further applied to the analysis and simulation of wall-turbulence.