Effects of forcing in three dimensional turbulent flows

Abstract

We present the results of a numerical investigation of three-dimensional homogeneous and isotropic turbulence, stirred by a random forcing with a power law spectrum, $E_f(k)\sim k^{3-y}$. Numerical simulations are performed at different resolutions up to $512^3$. We show that at varying the spectrum slope $y$, small-scale turbulent fluctuations change from a {\it forcing independent} to a {\it forcing dominated} statistics. We argue that the critical value separating the two behaviours, in three dimensions, is $y_c=4$. When the statistics is forcing dominated, for $y<y_c$, we find dimensional scaling, i.e. intermittency is vanishingly small. On the other hand, for $y>y_c$, we find the same anomalous scaling measured in flows forced only at large scales. We connect these results with the issue of {\it universality} in turbulent flows.

4 pages, 4 figures

References in corpus (5)

• Particles and fields in fluid turbulence
• Renormalization-group approach to the stochastic Navier--Stokes equation: Two-loop approximation
• Turbulence and Multiscaling in the Randomly Forced Navier Stokes Equation
• The decay of homogeneous anisotropic turbulence
• Universality of anisotropic fluctuations from numerical simulations of turbulent flows

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