Kolmogorov's 4/5 law is examined quantitatively by using the data of direct numerical simulations of incompressible turbulence in a periodic box with the number of grid points and the Taylor micro-scale Reynolds number 2048 3 and Rλ ≈ 732, respectively. The examination is based on a generalization of the Kármán-Howarth-Kolmogorov (KHK) equation for isotropic turbulence to anitropic turbulence. An emphasis is put on the influence of the finite Reynolds number, length-scale and the weak but finite anisotropy. The analysis of the DNS data gives a quantitative idea on the role of the viscous and forcing terms in the KHK equation. It also suggests that the anisotropy has substantial influence on the 4/5 law for a wide scale-range.
|Journal||journal of the physical society of japan|
|Publication status||Published - Jun 2008|
- 4/5 law
- High-resolusion DNS
- Reynolds number
ASJC Scopus subject areas
- Physics and Astronomy(all)