Showing papers by "Philip Geoffrey Saffman published in 1997"
TL;DR: In this article, the authors surveyed the prospects of vortex models of the fine scales of isotropic turbulence and proposed a vortex model for the calculation of higher order moments of one-point velocity gradient statistics and longitudinal velocity correlation functions.
Abstract: The prospects of vortex models of the fine scales of isotropic turbulence are surveyed. These begin with the calculation by Synge & Lin in 1943 of longitudinal velocity correlations, using an ensemble of Hill spherical vortices, and are followed by the work of Townsend in 1951, employing Burgers vortices to study dissipation range scales. Recent developments by the author and Professor D. I. Pullin based on Lundgren9s 1982 work on randomly orientated stretched spiral vortex solutions of the Navier—Stokes equations, for the calculation of higher order moments of one–point velocity gradient statistics and longitudinal velocity correlation functions, will be considered.
19 citations