Intermittency and scale-dependent statistics in fully developed turbulence - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2009

Intermittency and scale-dependent statistics in fully developed turbulence

Katsunori Yoshimatsu
  • Fonction : Auteur
Naoya Okamoto
  • Fonction : Auteur
Yukio Kaneda
  • Fonction : Auteur

Résumé

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.
Fichier principal
Vignette du fichier
yoshimatsu2009.pdf (683.93 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

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

Identifiants

Citer

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⟩
15 Consultations
8 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More