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September 24, 2025Physics of Fluids

A topology-based method for assessing the complexity and unpredictability of unsteady flows

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Authors

BTBurak Ahmet TunaHWHuixuan WuJTJ. S. Torok

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Overview

A new method measures unpredictability and complexity in unsteady flows, highlighting topological features.

Key Points

  • The new method evaluates unpredictability in unsteady flows, measuring flow complexity more precisely.
  • Key metrics include vorticity and symbol sequences defined by topological features, derived from homological group analysis.
  • The method reveals a significant increase in unpredictability near transition points, with a gradual saturation downstream.
  • Findings indicate a strong correlation between vortex behavior and temporal unpredictability in the flow.

Cite This Study

Tuna et al. (2025) studied this question.

synapsesocial.com/papers/68d6d8548b2b6861e4c3e70dhttps://doi.org/10.1063/5.0293673
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