What a single snapshot reveals about the future and the past of turbulent flow
arXiv:1302.6693 · doi:10.1103/PhysRevLett.110.214502
Abstract
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.
Cited by in corpus (13)
- Time-symmetry breaking in turbulence
- A Lagrangian fluctuation-dissipation relation for scalar turbulence, I. Flows with no bounding walls
- Intermittency in the relative separations of tracers and of heavy particles in turbulent flows
- Turbulent Cascade Direction and Lagrangian Time-Asymmetry
- Fibonacci turbulence
- Time irreversibility and multifractality of power along single particle trajectories in turbulence
- New type of anomaly in turbulence
- Analysis of the forward and backward in time pair-separation PDFs for inertial particles in isotropic turbulence
- Irreversibility-inversions in 2 dimensional turbulence
- Lagrangian stochastic integrals of motion in isotropic random flows
- Irreversibility of the two-dimensional enstrophy cascade
- A statistical conservation law in two and three dimensional turbulent flows
- Lagrangian view of time irreversibility of fluid turbulence