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Correlation functions in fully developed turbulence

  • Leonie Canet


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. In this talk, I will focus on isotropic and homogeneous fully developed turbulence in incompressible flows. While much effort has been devoted to characterising equal-time properties of the turbulent state, less is known about its temporal behaviour. I will present some analytical results on the time dependence of generic multi-point correlation functions in the stationary turbulent state. These results are obtained from « first principles », i.e. starting from the forced 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 these predictions with available results from both direct numerical simulations and experiments.

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Correlation functions in fully developed turbulence


Higgs Centre Seminar Room, JCMB (Find us on campus maps)
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road