Spatiotemporal velocity-velocity correlation function in fully developed turbulence - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2017

Spatiotemporal velocity-velocity correlation function in fully developed turbulence

Résumé

Turbulence is a ubiquitous phenomenon in natural and industrial flows. Since the celebrated work of Kolmogorov in 1941, understanding the statistical properties of fully developed turbulence has remained a major quest. In particular, deriving the properties of turbulent flows from a mesoscopic description, that is, from the Navier-Stokes equation, has eluded most theoretical attempts. Here, we provide a theoretical prediction for the functional space and time dependence of the velocity-velocity correlation function of homogeneous and isotropic turbulence from the field theory associated to the Navier-Stokes equation with stochastic forcing. This prediction, which goes beyond Kolmogorov theory, is the analytical fixed point solution of nonperturbative renormalization group flow equations, which are exact in the limit of large wave numbers. This solution is compared to two-point two-times correlation functions computed in direct numerical simulations. We obtain a remarkable agreement both in the inertial and in the dissipative ranges.

Dates et versions

hal-01470950 , version 1 (18-02-2017)

Identifiants

Citer

Léonie Canet, Vincent Rossetto, Nicolás Wschebor, Guillaume Balarac. Spatiotemporal velocity-velocity correlation function in fully developed turbulence. Physical Review E , 2017, 95, pp. 023107. ⟨10.1103/PhysRevE.95.023107⟩. ⟨hal-01470950⟩
346 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More