Visibility graph analysis of wall turbulence time-series

Abstract

The spatio-temporal features of the velocity field of a fully-developed turbulent channel flow are investigated through the natural visibility graph (NVG) method, which is able to fully map the intrinsic structure of the time-series into complex networks. Time-series of the three velocity components, (u,v,w), are analyzed at fixed grid-points of the whole three-dimensional domain. Each time-series was mapped into a network by means of the NVG algorithm, so that each network corresponds to a grid-point of the simulation. The degree centrality, the transitivity and the here proposed mean link-length were evaluated as indicators of the global visibility, inter-visibility, and mean temporal distance among nodes, respectively. The metrics were averaged along the directions of homogeneity (x, z) of the flow, so they only depend on the wall-normal coordinate, y^+. The visibility-based networks, inheriting the flow field features, unveil key temporal properties of the turbulent time-series and their changes moving along y^+. Although intrinsically simple to be implemented, the visibility graph-based approach offers a promising and effective support to the classical methods for accurate time-series analyses of inhomogeneous turbulent flows.

References in corpus (15)

• The structure and function of complex networks
• Characterization of complex networks: A survey of measurements
• From time series to complex networks: the visibility graph
• A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence
• Recurrence networks - A novel paradigm for nonlinear time series analysis
• The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
• Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence
• Network Structure of Two-Dimensional Decaying Isotropic Turbulence
• From the time series to the complex networks: the parametric (dynamical) natural visibility graph
• Correlation networks from flows. The case of forced and time-dependent advection-diffusion dynamics
• Characterization of river flow fluctuations via horizontal visibility graphs
• Complex Networks Unveiling Spatial Patterns in Turbulence
• Fully Developed Turbulence in the view of Horizontal Visibility Graphs
• Complex Network Approach to Fractional Time Series
• Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: a Lagrangian flow network perspective

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• Network-based analysis of fluid flows: Progress and outlook
• Topology of the Visibility Graph of Sandpiles
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• Visibility analysis of boundary layer transition