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Effects of Forcing in Three-Dimensional Turbulent Flows

2003/10/16 by Luca Biferale, Alessandra S. Lanotte, Alessandra Lanotte +1 · 1 citation
Engineering · Environmental Science · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Plant Water Relations and Carbon Dynamics #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1103/physrevlett.92.094503

published as Physical Review Letters 92 (2004) 094503 · 4 pages, 4 figures

arxiv created 2003/10/16 · openalex publication_date 2004/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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) approximately 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 forcing independent to a forcing dominated statistics. We argue that the critical value separating the two behaviors, 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 universality in turbulent flows.

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