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Bridge relations in Navier-Stokes turbulence

A. Celani·D. Biskamp
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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.

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A. Celani, D. Biskamp. 1998-06-24. Bridge relations in Navier-Stokes turbulence. https://doi.org/10.1209/epl%2Fi1999-00265-7

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