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

Chuang Liu, Wei-Xing Zhou and Wei-Kang Yuan

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 13, 2675-2681

Abstract: We study the statistical properties of complex networks constructed from time series of energy dissipation rates in three-dimensional fully developed turbulence using the visibility algorithm. The degree distribution is found to have a power-law tail with the tail exponent α=3.0. The exponential relation between the number of the boxes NB and the box size lB based on the edge-covering box-counting method illustrates that the network is not self-similar, which is also confirmed by the hub-hub attraction according to the visibility algorithm. In addition, it is found that the skeleton of the visibility network exhibits excellent allometric scaling with the scaling exponent η=1.163±0.005.

Keywords: Turbulence; Energy dissipation rate; Visibility graph; Degree distribution; Self-similarity; Allometric scaling (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (24)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:13:p:2675-2681

DOI: 10.1016/j.physa.2010.02.043

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