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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 24, issue 4
Nonlin. Processes Geophys., 24, 661-671, 2017
https://doi.org/10.5194/npg-24-661-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Current perspectives in modelling, monitoring, and predicting...

Nonlin. Processes Geophys., 24, 661-671, 2017
https://doi.org/10.5194/npg-24-661-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 20 Oct 2017

Research article | 20 Oct 2017

Network-based study of Lagrangian transport and mixing

Kathrin Padberg-Gehle and Christiane Schneide
Related subject area  
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Cited articles  
Allshouse, M. R. and Peacock, T.: Lagrangian based methods for coherent structure detection, Chaos, 25, 097617, https://doi.org/10.1063/1.4922968, 2015.
Allshouse, M. R. and Thiffeault, J.-L.: Detecting coherent structures using braids, Physica D, 241, 95–105, 2012.
Banisch, R. and Koltai, P.: Understanding the geometry of transport: diffusion maps for Lagrangian trajectory data unravel coherent sets, Chaos, 27, 035804, https://doi.org/10.1063/1.4971788, 2017.
Budišić, M. and Mezić, I.: Geometry of the ergodic quotient reveals coherent structures in flows, Physica D, 241, 1255–1269, 2012.
Dellnitz, M. and Preis, R.: Congestion and Almost Invariant Sets in Dynamical Systems, in: Symbolic and Numerical Scientific Computation (Proceedings of SNSC'01), edited by: Winkler, F., LNCS 2630, Springer, Berlin, Heidelberg, 183–209, 2003.
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Transport and mixing processes in fluid flows are crucially influenced by coherent structures, such as eddies, gyres, or jets in geophysical flows. We propose a very simple and computationally efficient approach for analyzing coherent behavior in fluid flows. The central object is a flow network constructed directly from particle trajectories. The network's local and spectral properties are shown to give a very good indication of coherent as well as mixing regions in the underlying flow.
Transport and mixing processes in fluid flows are crucially influenced by coherent structures,...
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