1302.6693 (Gregory Falkovich et al.)

What a single snapshot reveals about the future and the past of
turbulent flow    [PDF]

Gregory Falkovich, Anna Frishman

We develop an analytic formalism and derive new exact relations that express the short-time dispersion of fluid particles via the single-time velocity correlation functions in homogeneous isotropic and incompressible turbulence. The formalism establishes a bridge between single-time Eulerian and long-time Lagrangian pictures of turbulent flows. In particular, we derive an exact formula for a short-term analog of the long-time Richardson law, and we identify a conservation law of turbulent dispersion which is true even in non-stationary turbulence.

View original: http://arxiv.org/abs/1302.6693