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Journal Articles Physical Review E Year : 2009

Intermittency and scale-dependent statistics in fully developed turbulence

Katsunori Yoshimatsu
  • Function : Author
Naoya Okamoto
  • Function : Author
Yukio Kaneda
  • Function : Author

Abstract

Fully developed homogeneous isotropic turbulent fields, computed by direct numerical simulation, are compared to divergence-free random fields having the same energy spectrum and either the same helicity spectrum as that of the turbulent data, or vanishing helicity. We show that the scale-dependent velocity flatness quantifies the spatial variability of the energy spectrum. The flatness exhibits a substantial increase at small scales for the turbulent field, but remains constant for the random fields. A diagnostic, the scale-dependent helicity, is proposed to quantify the geometrical statistics of the flow, which shows that only the turbulent flow is intermittent. Finally, statistical scale-dependent analyses of both Eulerian and Lagrangian accelerations confirm the inherently different dynamics of turbulent and random flows.
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Dates and versions

hal-04113783 , version 1 (02-06-2023)

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Katsunori Yoshimatsu, Naoya Okamoto, Kai Schneider, Yukio Kaneda, Marie Farge. Intermittency and scale-dependent statistics in fully developed turbulence. Physical Review E , 2009, 79, ⟨10.1103/PhysRevE.79.026303⟩. ⟨hal-04113783⟩
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