
arXiv: 1006.0798
We investigate the self-similar evolution of the transient energy spectrum which precedes the establishment of the Kolmogorov spectrum in homogeneous isotropic turbulence in three dimensions using the EDQNM closure model. The transient evolution exhibits self-similarity of the second kind and has a non-trivial dynamical scaling exponent which results in the transient spectrum having a scaling which is steeper than the Kolmogorov $k^{-5/3}$ spectrum. Attempts to detect a similar phenomenon in DNS data are inconclusive owing to the limited range of scales available.
6 pages, 4 figures. Euromech colloquium 512 "Small scale turbulence and related gradient statistics", Accademia delle Scienze, Turin, Italy (26-29 Oct 2009) Version 2 corrects some typos and contains additional simulations and analysis on forced turbulence
Isotropic turbulence; homogeneous turbulence, self-similarity, homogeneous isotropic turbulence, FOS: Physical sciences, Dimensional analysis and similarity applied to problems in fluid mechanics, Chaotic Dynamics (nlin.CD), QA, Nonlinear Sciences - Chaotic Dynamics, QC, EDQNM model, transient dynamics
Isotropic turbulence; homogeneous turbulence, self-similarity, homogeneous isotropic turbulence, FOS: Physical sciences, Dimensional analysis and similarity applied to problems in fluid mechanics, Chaotic Dynamics (nlin.CD), QA, Nonlinear Sciences - Chaotic Dynamics, QC, EDQNM model, transient dynamics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 7 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
