English

Effects of forcing in three dimensional turbulent flows

Chaotic Dynamics 2007-05-23 v1 Statistical Mechanics Fluid Dynamics

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, Ef(k)k3yE_f(k)\sim k^{3-y}. Numerical simulations are performed at different resolutions up to 5123512^3. We show that at varying the spectrum slope yy, 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 yc=4y_c=4. When the statistics is forcing dominated, for y<ycy<y_c, we find dimensional scaling, i.e. intermittency is vanishingly small. On the other hand, for y>ycy>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.

Keywords

Cite

@article{arxiv.nlin/0310022,
  title  = {Effects of forcing in three dimensional turbulent flows},
  author = {Luca Biferale and Alessandra Lanotte and Federico Toschi},
  journal= {arXiv preprint arXiv:nlin/0310022},
  year   = {2007}
}

Comments

4 pages, 4 figures

R2 v1 2026-07-22T18:11:34.423Z