Fully developed turbulence in the view of horizontal visibility graphs

Abstract

We employ the horizontal visibility algorithm to map the velocity and\nacceleration time series in turbulent flows with different Reynolds numbers,\nonto complex networks. The universal nature of velocity fluctuations in high\nReynolds turbulent Helium flow is found to be inherited in the corresponding\nnetwork topology. The degree distributions of the acceleration series are shown\nto have stretched exponential forms with the Reynolds number dependent fitting\nparameter. Furthermore, for acceleration time series, we find a transitional\nbehavior in terms of the Reynolds number in all network features which is in\nagreement with recent empirical studies.\n