Multiscale velocity correlation in turbulence: experiments, numerical simulations, synthetic signals

Abstract

Multiscale correlation functions in high Reynolds number experimental turbulence, numerical simulations and synthetic signals are investigated. Fusion Rules predictions as they arise from multiplicative, almost uncorrelated, random processes for the energy cascade are tested. Leading and sub-leading contribution, in the inertial range, can be explained as arising from a multiplicative random process for the energy transfer mechanisms. Two different predictions for correlations involving dissipative observable are also briefly discussed.

References in corpus (8)

• Multiscale velocity correlations in turbulence
• Multi-time, multi-scale correlation functions in turbulence and in turbulent models
• On the Heat Transfer in Rayleigh-Benard systems
• Analytic calculation of anomalous scaling in random shell models for a passive scalar
• Helicity Transfer in Turbulent Models
• Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests
• Ultrametric structure of multiscale energy correlations in turbulent models
• Bridge relations in Navier-Stokes turbulence

Cited by in corpus (6)

• Localness of energy cascade in hydrodynamic turbulence, I. Smooth coarse-graining
• Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions
• Exit-Times and {\Large $\epsilon$}-Entropy for Dynamical Systems, Stochastic Processes, and Turbulence
• Spontaneous Symmetry Breaking for Extreme Vorticity and Strain in the 3D Navier-Stokes Equations
• Locality and stability of the cascades of two-dimensional turbulence
• Dissipation scales and anomalous sinks in steady two-dimensional turbulence