Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 1998 | Published
Journal Article Open

Effect of finite computational domain on turbulence scaling law in both physical and spectral spaces


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.

Attached Files

Published - HOUpre98.pdf


Files (112.3 kB)
Name Size Download all
112.3 kB Preview Download

Additional details

August 22, 2023
August 22, 2023