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Levels of complexity in turbulent time series for weakly and high Reynolds number

Shayeganfar, F ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1016/j.physa.2012.01.024
  3. Publisher: 2012
  4. Abstract:
  5. We use the detrended fluctuation analysis (DFA), the detrended cross correlation analysis (DCCA) and the magnitude and sign decomposition analysis to study the fluctuations in the turbulent time series and to probe long-term nonlinear levels of complexity in weakly and high turbulent flow. The DFA analysis indicate that there is a time scaling region in the fluctuation function, segregating regimes with different scaling exponents. We discuss that this time scaling region is related to inertial range in turbulent flows. The DCCA exponent implies the presence of power-law cross correlations. In addition, we conclude its multifractality for high Reynold's number in inertial range. Further, we find that turbulent time series exhibit complex features by magnitude and sign scaling exponents
  6. Keywords:
  7. Detrended fluctuation analysis ; Magnitude ; Sign ; Time series ; Cross correlations ; Cross-correlation analysis ; Decomposition analysis ; Fluctuation functions ; High Reynolds number ; Inertial ranges ; Multifractality ; Power-law ; Scaling exponent ; Time-scaling ; Turbulent time series ; Turbulent flow
  8. Source: Physica A: Statistical Mechanics and its Applications ; Volume 391, Issue 11 , 2012 , Pages 3151-3158 ; 03784371 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0378437112000507