Bridge relations in Navier-Stokes turbulence

Details Bridge relations in Navier-Stokes turbulence Bridge relations in Navier-Stokes turbulence

1998-06-24

arxiv.org/abs/chao-dyn/9806027v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 6 figures

Scientific paper

10.1209/epl/i1999-00265-7

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 ${\cal R}_{\lambda} \simeq 300$ 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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