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Lagrangian Flow Network approach to an open flow model

AuthorsSer-Giacomi, Enrico ; Rodríguez-Méndez, Víctor; López, Cristóbal ; Hernández-García, Emilio
KeywordsLagrangian transport
Open flows
Issue Date21-Jun-2017
PublisherSpringer Nature
CitationThe European Physical Journal Special Topics 226 (9): 2057-2068 (2017)
AbstractConcepts 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.
Publisher version (URL)http://doi.org/10.1140/epjst/e2017-70044-2
Appears in Collections:(IFISC) Artículos
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