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Multiscale Model of Gradient Evolution in Turbulent Flows (Articolo in rivista)

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Multiscale Model of Gradient Evolution in Turbulent Flows (Articolo in rivista) (literal)

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Biferale L., Chevillard L., Meneveau Ch., Toschi F. (2007)
Multiscale Model of Gradient Evolution in Turbulent Flows
in Physical review letters (Print)
(literal)

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Dipartimento Fisica and INFN, Universita` di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy Department of Mechanical Engineering and Center for Environmental and Applied Fluid Mechanics, The Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218, USA Istituto per le Applicazioni del Calcolo CNR, Viale del Policlinico 137, 00161 Roma, Italy,and INFN, Sezione di Ferrara, Via G. Saragat 1, I-44100 Ferrara, Italy (literal)

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Abstract

A multiscale model for the evolution of the velocity gradient tensor in turbulence is proposed. The model couples restricted Euler (RE) dynamics describing gradient self-stretching with a cascade model allowing energy exchange between scales. We show that inclusion of the cascade process is sufficient to regularize the finite-time singularity of the RE dynamics. Also, the model retains geometrical features of real turbulence such as preferential alignments of vorticity and joint statistics of gradient tensor invariants. Furthermore, gradient fluctuations are non-Gaussian, skewed in the longitudinal case, and derivative flatness coefficients are in good agreement with experimental data. (literal)

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