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

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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.

Original languageEnglish
Article number49
JournalFluids
Volume6
Issue number2
Number of pages24
ISSN2311-5521
DOIs
Publication statusPublished - 02.2021

Bibliographical note

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

    Research areas

  • Lagrangian transport, bifurcation, coherent set, probabilistic approach, singular value decomposition, transfer operator
  • Mathematics

DOI

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  1. Marcus Erben

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