2024-03-28T22:38:32Z
https://tsukuba.repo.nii.ac.jp/oai
oai:tsukuba.repo.nii.ac.jp:00027219
2022-04-27T08:55:02Z
117:127
3:62:5592:1856
Analysis of PDFs for energy transfer rates from 40963 DNS – verification of the scaling relation within MPDFT
有光, 敏彦
Arimitsu, T.
Arimitsu, N.
The probability density functions (PDFs) for energy transfer rates, extracted by Kaneda and Ishihara from their 40963 direct numerical simulation for fully developed turbulence, are analyzed in high accuracy by means of the multifractal probability density function theory (MPDFT), in which a new scaling relation has been proposed. MPDFT is a statistical mechanical ensemble theory for the intermittent phenomena providing fat-tail PDFs. With the proposed scaling relation, MPDFT has been improved to deal with intermittency through any series of PDFs with arbitrary magnification δ (>1). As the value of δ can be determined freely by observers, the choice of δ should not affect observables. The validity of the generalized MPDFT is successfully verified through the precise analyses of several series of PDFs with different values of δ. In addition to the verification, it is revealed that the system of fully developed turbulence has much wider area representing scaling behaviors than the inertial range. With the help of MPDFT, it has become possible to separate the coherent turbulent motion from fluctuations, which may benefit the wavelet analysis of turbulence.
journal article
Taylor & Francis
2010-12
application/pdf
Journal of turbulence
12
1
25
http://hdl.handle.net/2241/117041
1468-5248
AA11584000
https://tsukuba.repo.nii.ac.jp/record/27219/files/JOT_12.pdf
eng
10.1080/14685248.2010.524221
This is a preprint of an article submitted for consideration in the Journal of turbulence 2011©Taylor & Francis; Journal of turbulence is available online at: http://www.tandfonline.com/ with the open URL of your article.