CaltechAUTHORS
  A Caltech Library Service

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

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

[img]
Preview
PDF
See Usage Policy.

109Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:HOUpre98

Abstract

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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:HOUpre98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HOUpre98
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.58.5841
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7554
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:03 Mar 2007
Last Modified:26 Dec 2012 09:32

Repository Staff Only: item control page