التفاصيل البيبلوغرافية
| العنوان: |
Extremal-point density of scaling processes: From fractional Brownian motion to turbulence in one dimension. |
| المؤلفون: |
Huang Y; State Key Laboratory of Marine Environmental Science, College of Ocean and Earth Sciences, Xiamen University, Xiamen 361102, China., Wang L; UM-SJTU Joint Institute, Shanghai JiaoTong University, Shanghai, 200240, China., Schmitt FG; CNRS, Univ. Lille, Univ. Littoral Cote d'Opale, UMR 8187, LOG, Laboratoire d'Océanologie et de Géosciences, F 62 930 Wimereux, France., Zheng X; Department of Mechanics, Tianjin University, 300072 Tianjin, China., Jiang N; Department of Mechanics, Tianjin University, 300072 Tianjin, China., Liu Y; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China. |
| المصدر: |
Physical review. E [Phys Rev E] 2017 Jul; Vol. 96 (1-1), pp. 012215. Date of Electronic Publication: 2017 Jul 17. |
| نوع المنشور: |
Journal Article |
| اللغة: |
English |
| بيانات الدورية: |
Publisher: American Physical Society Country of Publication: United States NLM ID: 101676019 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2470-0053 (Electronic) Linking ISSN: 24700045 NLM ISO Abbreviation: Phys Rev E Subsets: PubMed not MEDLINE |
| أسماء مطبوعة: |
Original Publication: Ridge, NY : American Physical Society, [2016]- |
| مستخلص: |
In recent years several local extrema-based methodologies have been proposed to investigate either the nonlinear or the nonstationary time series for scaling analysis. In the present work, we study systematically the distribution of the local extrema for both synthesized scaling processes and turbulent velocity data from experiments. The results show that for the fractional Brownian motion (fBm) without intermittency correction the measured extremal-point-density (EPD) agrees well with a theoretical prediction. For a multifractal random walk (MRW) with the lognormal statistics, the measured EPD is independent of the intermittency parameter μ, suggesting that the intermittency correction does not change the distribution of extremal points but changes the amplitude. By introducing a coarse-grained operator, the power-law behavior of these scaling processes is then revealed via the measured EPD for different scales. For fBm the scaling exponent ξ(H) is found to be ξ(H)=H, where H is Hurst number, while for MRW ξ(μ) shows a linear relation with the intermittency parameter μ. Such EPD approach is further applied to the turbulent velocity data obtained from a wind tunnel flow experiment with the Taylor scale λ-based Reynolds number Re_{λ}=720, and a turbulent boundary layer with the momentum thickness θ based Reynolds number Re_{θ}=810. A scaling exponent ξ≃0.37 is retrieved for the former case. For the latter one, the measured EPD shows clearly four regimes, which agrees well with the corresponding sublayer structures inside the turbulent boundary layer. |
| تواريخ الأحداث: |
Date Created: 20180120 Date Completed: 20180709 Latest Revision: 20180709 |
| رمز التحديث: |
20240628 |
| DOI: |
10.1103/PhysRevE.96.012215 |
| PMID: |
29347222 |
| قاعدة البيانات: |
MEDLINE |
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