Abstract

Turbulence is an ubiquitous phenomenon in fluid flows. Yet, calculating its statistical properties, and in particular what is generically called intermittency effects, remains an open issue. We will focus on isotropic and homogeneous fully developed turbulence in incompressible flows. While much effort has been devoted to characterizing equal-time properties of the turbulent state, less is known about its temporal behavior. I will present some analytical results on the time dependence of generic n-point correlation functions in the stationary turbulent state. These results are obtained from « first principles », i.e. starting from the Navier-Stokes equation, and using a field-theoretical approach (based on Functional and Non-Perturbative Renormalisation Group techniques). They are asymptotically exact in the limit of large wave-numbers. I will compare our predictions with available results from both numerical simulations and experiments.

M. Tarpin, C. Pagani, LC, N. Wschebor, to appear in J. Phys. A (2018) M. Tarpin, LC, N. Wschebor, Phys. Fluids 30 (2018) LC, V. Rossetto, N. Wschebor, G. Balarac, PRE 95 (2017)