Local or Nonlocal? Orthonormal Divergence-Free Wavelet Analysis of Nonlinear Interactions in Turbulence
Local or Nonlocal? Orthonormal Divergence-Free Wavelet Analysis of Nonlinear Interactions in Turbulence
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DOI：
10.1103/physrevlett.83.5487
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发表时间：
1999
影响因子：
8.6
通讯作者：
Katsuhiro Suzuki
中科院分区：
文献类型：
--
作者：
K. Kishida;K. Araki;S. Kishiba;Katsuhiro Suzuki
利用无散度矢量小波，分析了三维均匀各向同性湍流中的非线性传输。小波分析支持局部相互作用在非线性能量传递过程中的优势，这与Kolmogorov的现象学是一致的。为了进行比较，还进行了类傅立叶分析。证实了非局域相互作用的优势[JA Domaradzki和RS Rogallo，Phys.流体A 2,413(1990)；PK Yeung和JG Brasseur，Phys.流体A 3,884(1991)；K.Ohkitani和S.Kida，Phys.流体A4,794(1992)]由线性二进制傅立叶分析得到，并讨论了其不足之处。
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 [JA Domaradzki and RS Rogallo, Phys. Fluids A 2, 413 (1990); PK Yeung and JG 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.