1307.2324 (R. V. R. Pandya)

A new Eulerian theory of turbulence constrained by random Galilean
invariance    [PDF]

R. V. R. Pandya

We propose a new Eulerian turbulence theory to obtain a closed set of equations for homogeneous, isotropic turbulent velocity field correlations and propagator functions by incorporating constraints of random Galilean invariance. This incorporation generates a few different equations for propagator and the present theory suggests a way to utilize them into the closure solutions of two-time and single-time velocity correlations' equations so as to properly account for random sweeping phenomena. The present theory yields exact solutions when applied to simple model problem of random oscillator.

View original: http://arxiv.org/abs/1307.2324