Abstract
Discrete Wavelet Transform (DWT) has been applied to the Direct Numerical simulation (DNS) data of turbulent channel flow DWT splits the turbulent flow into two orthogonal parts, one corresponding to coherent structures and the other to incoherent background flow The coherent structure is extracted from not vorticity field but velocity's since the channel flow is not isotropic. By comparing DWT's result of channel flow with that of isotropic flow, it is shown that coherent structure maintains the properties of original channel flow. The velocity field of coherent structures can be represented by few wavelet modes and that these modes are sufficient to reproduce the velocity probability density function (PDF) and the energy spectrum over the entire inertial range. The remaining incoherent background flow is homogeneous, has small amplitude, and is uncorrelated These results are compared with those obtained for the same compression rate using large eddy simulation (LES) filtering in contrast to the incoherent background flow of DWT, the LES subgrid scales have a much larger amplitude and are correlated, which makes their statistical modeling more difficult.
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