Geometric Depletion of Vortex Stretching in the Extreme Intermittency Tail of Isotropic Turbulence
Year: 2026
Type: preprint
Abstract: This is Part I of the Project Omega series. This paper resolves the extreme intermittency tail of 3D Navier-Stokes turbulence to |\omega| [span_0](start_span)= 533.41 \text{ s}^{-1} using a 10^9-point DNS audit (Re_\lambda \approx 433) [cite: 149-150, 163-164]. [cite_start]We document a "Geometric Depletion" mechanism where stretching efficiency R decays as |\omega|^{-0.94}. This is driven by the rotation of the vorticity vector toward the intermediate strain eigenvector e_2 [cite: 183-184, 200-201]. > [cite_start]Data Source: JHTDB isotropic1024coarse.
Author: Prince
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7141591007
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