Hou, Thomas Y. and Wu, Xiao-Hui and Chen, Shiyi and Zhou, Ye (1998) Effect of finite computational domain on turbulence scaling law in both physical and spectral spaces. Physical Review E, 58 (5). pp. 5841-5844. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:HOUpre98
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The well-known translation between the power law of the energy spectrum and that of the correlation function or the second order structure function has been widely used in analyzing random data. Here, we show that the translation is valid only in proper scaling regimes. The regimes of valid translation are different for the correlation function and the structure function. Indeed, they do not overlap. Furthermore, in practice, the power laws exist only for a finite range of scales. We show that this finite range makes the translation inexact even in the proper scaling regime. The error depends on the scaling exponent. The current findings are applicable to data analysis in fluid turbulence and other stochastic systems.
|Additional Information:||©1998 The American Physical Society. Received 22 December 1997; revised 3 August 1998. Y.Z. was partially supported by ICASE through NASA Contract No. NAS1-19480.|
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|Deposited On:||03 Mar 2007|
|Last Modified:||15 Mar 2016 19:55|
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