Spatiotemporal velocity-velocity correlation function in fully developed turbulence. Canet, L., Rossetto, V., Wschebor, N., & Balarac, G. Physical Review E, 95(2):23107, 4, 2017. ![Spatiotemporal velocity-velocity correlation function in fully developed turbulence [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website doi abstract bibtex 6 downloads Turbulence is an 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 Navier-Stokes equation, has eluded most theoretical attempts. Here, we provide a theoretical prediction for the space and time dependent velocity-velocity correlation function of homogeneous and isotropic turbulence from the field theory associated to Navier-Stokes equation with stochastic forcing. This prediction is the analytical fixed-point solution of Non-Perturbative Renormalisation Group flow equations, which are exact in a certain large wave-number limit. 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.
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author = {Canet, Léonie and Rossetto, Vincent and Wschebor, Nicolás and Balarac, Guillaume},
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Downloads: 6
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