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

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}

Abstract