Bridge relations in Navier-Stokes turbulence

Abstract

The correlation between inertial range velocity fluctuations and energy dissipation in fully developed turbulence is studied using high resolution direct numerical simulation. Runs with microscale Reynolds number up to ${\cal R}_λ \simeq 300$ have been performed in order to achieve the maximum extent of the scaling range compatible with a proper resolution of the dissipative scales. The bridge relations, a set of scaling relations which express quantitatively the statistical dependence of dissipation-scale velocity fluctuations on inertial-range ones, are verified. Corrections to the bridge relations due to the finite size of the scaling range are investigated.