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August 25, 2025Journal of Fluid MechanicsOpen Access

Scaling and predictability in surface quasi-geostrophic turbulence

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Authors

VVV. J. ValadãoFLF. De LilloSMS. Musacchio

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Overview

Direct numerical simulations reveal Lyapunov exponent scaling in turbulent geophysical flows, suggesting complexity.

Key Points

  • Anomalous scaling of Lyapunov exponent exceeds predictions based on dimensional analysis, indicating unique chaotic behavior.
  • Direct numerical simulations demonstrate dependence of the Lyapunov exponent on Reynolds number in quasi-geostrophic turbulence.
  • Finite-time fluctuations of Lyapunov exponent analyzed through Cramér function reveal self-similar distributions at high Reynolds numbers.
  • Insights from this analysis may enhance our understanding of chaotic systems in geophysical contexts, providing deeper implications.

Cite This Study

Valadão et al. (2025) studied this question.

synapsesocial.com/papers/68af5f1ead7bf08b1eae250chttps://doi.org/10.1017/jfm.2025.10494
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