Local or Nonlocal? Orthonormal Divergence-Free Wavelet Analysis of Nonlinear Interactions in Turbulence
- 27 December 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (26) , 5487-5490
- https://doi.org/10.1103/physrevlett.83.5487
Abstract
Using orthonormal divergence-free vector wavelets, we analyzed the nonlinear transfer in three-dimensional homogeneous, isotropic turbulence. Wavelet analysis supports the predominance of local interactions in the nonlinear energy transfer process, which is consistent with Kolmogorov's phenomenology. Analogous Fourier analysis is also carried out for comparison. It is verified that the predominance of nonlocal interactions [J. A. Domaradzki and R. S. Rogallo, Phys. Fluids A 2, 413 (1990); P. K. Yeung and J. G. Brasseur, Phys. Fluids A 3, 884 (1991); K. Ohkitani and S. Kida, Phys. Fluids A 4, 794 (1992)] results from linearly binned Fourier analysis, whose shortcomings are also discussed.Keywords
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