scholarly journals Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence

2010 ◽  
Vol 389 (13) ◽  
pp. 2675-2681 ◽  
Author(s):  
Chuang Liu ◽  
Wei-Xing Zhou ◽  
Wei-Kang Yuan
Keyword(s):  
Energy Dissipation ◽  
Three Dimensional ◽  
Statistical Properties ◽  
Visibility Graph ◽  
Fully Developed Turbulence ◽  
Developed Turbulence ◽  
Dissipation Rates

scholarly journals Inversion formula of multifractal energy dissipation in three-dimensional fully developed turbulence

2006 ◽  
Vol 73 (5) ◽  
Author(s):  
Jian-Liang Xu ◽  
Wei-Xing Zhou ◽  
Hai-Feng Liu ◽  
Xin Gong ◽  
Fu-Cheng Wang ◽  
...  
Keyword(s):  
Energy Dissipation ◽  
Inversion Formula ◽  
Three Dimensional ◽  
Fully Developed Turbulence ◽  
Developed Turbulence

scholarly journals NEW EVIDENCE OF DISCRETE SCALE INVARIANCE IN THE ENERGY DISSIPATION OF THREE-DIMENSIONAL TURBULENCE: CORRELATION APPROACH AND DIRECT SPECTRAL DETECTION

2003 ◽  
Vol 14 (04) ◽  
pp. 459-470 ◽  
Author(s):  
WEI-XING ZHOU ◽  
DIDIER SORNETTE ◽  
VLADILEN PISARENKO
Keyword(s):  
Energy Dissipation ◽  
Three Dimensional ◽  
Energy Dissipation Rate ◽  
Corrections To Scaling ◽  
Developed Turbulence ◽  
Pairwise Correlations ◽  
Spectral Detection ◽  
Simple Variant ◽  
High Reynolds ◽  
New Evidence

We extend the analysis of Ref. 16 showing statistically significant log-periodic corrections to scaling in the moments of the energy dissipation rate in experiments at high Reynolds number (≈ 2500) of three-dimensional fully developed turbulence. First, we develop a simple variant of the canonical averaging method using a rephasing scheme between different samples based on pairwise correlations that confirms Zhou and Sornette's previous results. The second analysis uses a simpler local spectral approach and then performs averages over many local spectra. This yields stronger evidence of the existence of underlying log-periodic undulations, with the detection of more than 20 harmonics of a fundamental logarithmic frequency f = 1.434 ± 0.007 corresponding to the preferred scaling ratio γ = 2.008 ± 0.006.

AN EXPERIMENTALIST'S VIEW OF DISCRETE AND CONTINUOUS CASCADE MODELS IN FULLY DEVELOPED TURBULENCE

Fractals ◽  
2002 ◽  
Vol 10 (03) ◽  
pp. 321-327 ◽  
Author(s):  
M. GREINER ◽  
B. JOUAULT
Keyword(s):  
Time Series ◽  
Energy Dissipation ◽  
Energy Flux ◽  
Three Dimensional ◽  
One Dimensional ◽  
Developed Turbulence ◽  
Cascade Models ◽  
Cascade Processes ◽  
Multiplicative Cascade ◽  
Spatial Section

In standard experiments, time series of fully developed turbulent fields are recorded in one point, which according to the frozen flow hypothesis can be interpreted as an instantaneous one-dimensional spatial section through a three-dimensional field. This observational reduction in dimensions is absolutely necessary to be taken into account for the explanation of observed multiplier correlations in the energy dissipation field. We demonstrate this for discrete and continuous multiplicative cascade processes, which are empirically known to describe the multifractal energy flux from integral to dissipation scales.

scholarly journals Particle trapping in three-dimensional fully developed turbulence

2005 ◽  
Vol 17 (2) ◽  
pp. 021701 ◽  
Author(s):  
L. Biferale ◽  
G. Boffetta ◽  
A. Celani ◽  
A. Lanotte ◽  
F. Toschi
Keyword(s):  
Three Dimensional ◽  
Particle Trapping ◽  
Fully Developed Turbulence ◽  
Developed Turbulence

Hierarchy of the Energy Dissipation Moments in Fully Developed Turbulence

1995 ◽  
Vol 74 (11) ◽  
pp. 1986-1989 ◽  
Author(s):  
G. Chavarria ◽  
C. Baudet ◽  
S. Ciliberto
Keyword(s):  
Energy Dissipation ◽  
Fully Developed Turbulence ◽  
Developed Turbulence

Non-extensive statistics and three-dimensional fully developed turbulence

2001 ◽  
Vol 295 (1-2) ◽  
pp. 250-253 ◽  
Author(s):  
Fernando M. Ramos ◽  
Reinaldo R. Rosa ◽  
Camilo Rodrigues Neto ◽  
Mauricio J.A. Bolzan ◽  
Leonardo D.Abreu Sá ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Fully Developed Turbulence ◽  
Developed Turbulence
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