Advertisement
Published in:
2007 | OriginalPaper | Chapter
On the Decay of Isotropic Turbulence
Authors : P. A. Davidson, Y. Kaneda, T. Ishida
Published in: Progress in Turbulence II
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We investigate the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik
4
, I being Loitsyansky's integral. We report numerical simulations in a periodic domain whose dimensions, l
box
, are much larger than the integral scale of the turbulence, l. We find that, provided l
box
≫l and Re≫1, the turbulence evolves to a state in which Loitsyansky's integral is approximately constant and Kolmogorov's decay law, u
2
∼t
−10/7
, holds true. The approximate conservation of I in fully-developed turbulence implies that the long-range interactions between remote eddies, as measured by the triple correlations, are very weak.