Modeling the structure functions in linearly forced isotropic turbulence

Abstract

7th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2011,Volume 2011-July, 2011© 2011 International Symposium on Turbulence and Shear Flow Phenomena, TSFP07. All rights reserved. The physics of the linear forcing of isotropic turbulence, allows for some useful estimates of the characteristic length scales of the turbulence produced during the statistically stationary phase. With such estimates we could practically define uniquely the stationary statistics by means of the boxsize of the simulation, the linear forcing parameter and the viscosity of each case. We use such estimations in the Karman-Howarth equation and we solve it in terms of the second and third order structure functions using a generalized Oberlack-Peters closure scheme. The resulting forms and the respective spectra are in very good agreement with experimental and DNS data