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Article

Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns

1
Faculty of Mathematics, Institute of Scientific Computing, Technische Universität Dresden, 01062 Dresden, Germany
2
Institute of Mathematics and its Didactics, Leuphana Universität Lüneburg, Universitätsallee 1, 21335 Lüneburg, Germany
3
Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, UK
*
Author to whom correspondence should be addressed.
Academic Editors: Irina Rypina and Michael Allshouse
Fluids 2021, 6(2), 49; https://doi.org/10.3390/fluids6020049
Received: 20 November 2020 / Revised: 10 January 2021 / Accepted: 20 January 2021 / Published: 22 January 2021
(This article belongs to the Special Issue Lagrangian Transport in Geophysical Fluid Flows)
Lagrangian coherent sets are known to crucially determine transport and mixing processes in non-autonomous flows. Prominent examples include vortices and jets in geophysical fluid flows. Coherent sets can be identified computationally by a probabilistic transfer-operator-based approach within a set-oriented numerical framework. Here, we study sudden changes in flow patterns that correspond to bifurcations of coherent sets. Significant changes in the spectral properties of a numerical transfer operator are heuristically related to critical events in the phase space of a time-dependent system. The transfer operator approach is applied to different example systems of increasing complexity. In particular, we study the 2002 splitting event of the Antarctic polar vortex. View Full-Text
Keywords: Lagrangian transport; probabilistic approach; transfer operator; singular value decomposition; coherent set; bifurcation Lagrangian transport; probabilistic approach; transfer operator; singular value decomposition; coherent set; bifurcation
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MDPI and ACS Style

Ndour, M.; Padberg-Gehle, K.; Rasmussen, M. Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns. Fluids 2021, 6, 49. https://doi.org/10.3390/fluids6020049

AMA Style

Ndour M, Padberg-Gehle K, Rasmussen M. Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns. Fluids. 2021; 6(2):49. https://doi.org/10.3390/fluids6020049

Chicago/Turabian Style

Ndour, Moussa, Kathrin Padberg-Gehle, and Martin Rasmussen. 2021. "Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns" Fluids 6, no. 2: 49. https://doi.org/10.3390/fluids6020049

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