@article{d0ede2c3958541d5b375a6a10a3fd1e9,
title = "Energy transfer and dissipation in forced isotropic turbulence",
abstract = "A model for the Reynolds number dependence of the dimensionless dissipation rate Cε was derived from the dimensionless K{\'a}rm{\'a}n-Howarth equation, resulting in Cε = Cε,∞ +C/RL + O(1/RL ), where RL is the integral scale Reynolds number. The coefficients C and Cε,∞ arise from asymptotic expansions of the dimensionless second- and third-order structure functions. This theoretical work was supplemented by direct numerical simulations (DNS) of forced isotropic turbulence for integral scale Reynolds numbers up to RL = 5875 (Rλ = 435), which were used to establish that the decay of dimensionless dissipation with increasing Reynolds number took the form of a power law RLn with exponent value n = −1.000 ± 0.009, and that this decay of Cε was actually due to the increase in the Taylor surrogate U3/L. The model equation was fitted to data from the DNS which resulted in the value C = 18.9 ± 1.3 and in an asymptotic value for Cε in the infinite Reynolds number limit of Cε,∞ = 0.468 ± 0.006. ",
keywords = "energy transfer, isotropic turbulence, direct numerical simulation",
author = "McComb, {W. D.} and A. Berera and Yoffe, {S. R.} and Linkmann, {M. F.}",
year = "2015",
month = apr,
day = "21",
doi = "10.1103/PhysRevE.91.043013",
language = "English",
volume = "91",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",
}