Lagrangian Flow Network approach to an open flow model

Abstract

Concepts and tools from network theory, the so-called Lagrangian Flow Network framework, have been successfully used to obtain a coarse-grained description of transport by closed fluid flows. Here we explore the application of this methodology to open chaotic flows, and check it with numerical results for a model open flow, namely a jet with a localized wave perturbation. We find that network nodes with high values of out-degree and of finite-time entropy in the forward-in-time direction identify the location of the chaotic saddle and its stable manifold, whereas nodes with high in-degree and backwards finite-time entropy highlight the location of the saddle and its unstable manifold. The cyclic clustering coefficient, associated to the presence of periodic orbits, takes non-vanishing values at the location of the saddle itself.

7 pages, 3 figures. To appear in European Physical Journal Special Topics, Topical Issue on "Recent Advances in Nonlinear Dynamics and Complex Structures: Fundamentals and Applications"

References in corpus (9)

• Clustering in Complex Directed Networks
• Complex networks in climate dynamics - Comparing linear and nonlinear network construction methods
• Hydrodynamic provinces and oceanic connectivity from a transport network help designing marine reserves
• Flow networks: A characterization of geophysical fluid transport
• Dominant transport pathways in an atmospheric blocking event
• Biological activity in the wake of an island close to a coastal upwelling
• Kinematic studies of transport across an island wake, with application to the Canary islands
• Spatio-temporal organization of dynamics in a two-dimensional periodically driven vortex flow: a Lagrangian flow network perspective
• Clustering coefficient and periodic orbits in flow networks

Cited by in corpus (7)

• Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples
• Explicit and implicit network connectivity: Analytical formulation and application to transport processes
• Impact of climate change on surface stirring and transport in the Mediterranean Sea
• Crossroads of the mesoscale circulation
• Transfer entropy computation using the Perron-Frobenius operator
• Local characterization of transient chaos on finite times in open systems
• Network and geometric characterization of three-dimensional fluid transport between two layers