Multiscale velocity correlations in turbulence

Abstract

Multiscale correlation functions in high Reynolds number experimental turbulence and synthetic signals are investigated. Fusion rule predictions as they arise from multiplicative, almost uncorrelated, random processes for the energy cascade are tested. Leading and subleading contributions, in both the inertial and viscous ranges, are well captured by assuming a simple multiplicative random process for the energy transfer mechanisms. © 1998 The American Physical Society.