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Published 1995 | public
Book Section - Chapter

Vortex models of the fine scales of turbulence

Abstract

We survey the current status, prospects and problems of vortex models of the fine scales of turbulence. We begin with the attempt by Synge and Lin in the 1940's to calculate the longitudinal velocity correlation for isotropic tubulence using an ensemble of Hill's spherical vortices. A discussion of models based on the Burgers vortex is followed by a detailed description of the use of an ensemble of randomly oriented stretched spiral-vortex solutions of the Navier-Stokes equations to predict/postdict several small-scale properties of stationary homogeneous tubulence at large wavenumber. These include the spectra of various quantities and the one-point velocity gradient statistics.

Additional Information

© Springer-Verlag Berlin Heidelberg 1995. DIP was partially supported by NSF Grant CTS-9311811 and PGS was partially supported by the Department of Energy under Grant No. DE-FG03-89ER25073.

Additional details

Created:
August 22, 2023
Modified:
March 5, 2024