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Author(s):
K. Kishida, K. Araki, S. Kishiba and K. Suzuki
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Title:
Local or Nonlocal? Orthonormal Divergence-free Wavelet Analysis of Nonlinear Interactions in Turbulence
Date of publication:
Mar. 1999
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Key words:
orthonormal divergence-free wavelet, homogeneous isotropic turbulence, non-linear interactions
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Abstract:
Using orthonorma1 divergence-free vector wavelet, we analyzed nonlinear transfer in a three-dimensional homogeneous, isotropic turbulence. Analogous Fourier analysis is also carried out. It is verified that energy is transferred locally. We also find that, in terms of wavelet analysis and geometrically partitioned Fourier band average analysis, the contribution of local interactions to the transfer is not negligible compared to that of nonlocal ones. On the other hand, Iinearly partitioned Fourier band average analysis drastically changes the qualitative appearance of transfer process, i.e. the result shows the predominance of nonlocal interactions.
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