Bridge relations in Navier-Stokes turbulence

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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 Rλ ≃ 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.