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April 3, 2026Open Access

Geometric Depletion of Vortex Stretching in the Extreme Intermittency Tail of Isotropic Turbulence

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PPrince

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Overview

This research resolves extreme intermittency in turbulence, revealing a geometric depletion effect in vorticity dynamics.

Key Points

  • The aim is to understand the behavior of extreme intermittency in 3D Navier-Stokes turbulence.
  • Conducted a 10^9-point direct numerical simulation audit
  • Analyzed vorticity dynamics and stretching efficiency
  • Examined the decay of stretching efficiency relative to vorticity magnitude
  • Identified a decay in stretching efficiency as vorticity magnitude increases
  • Demonstrated a geometric depletion mechanism impacting the vorticity vector
  • Quantified stretching efficiency decay at approximately |C9|^{-0.94}

Cite This Study

Prince (2026) studied this question.

synapsesocial.com/papers/69cf5e3d5a333a821460c697https://doi.org/10.5281/zenodo.19372597
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