RENORMALIZATION-GROUP THEORY FOR TURBULENCE - EDDY-VISCOSITY TYPE MODEL-BASED ON AN ITERATIVE AVERAGING METHOD

The renormalization group (RNG) theory of turbulence is often used for the forced Navier-Stokes equation in order to investigate turbulence models in Fourier space. The strong point of this kind of theory is th e ability to construct turbulence models with the aid of the Kolmogoro v -5/3 power law for the energy spectrum. In this paper, we have made use of an iterative averaging method proposed by McComb (1990), which does not have the misleading E-expansion technique developed by Yakhot and Orszag (1986), then applied this method to the derivation of an e ddy-viscosity type turbulence model. Using the exact Navier-Stokes equ ation excluding artificial external forces, we have obtained the eddy- viscosity type turbulence model which is equivalent to the Boussinesq postulate, and its model constant C-mu is determined from only a Kolmo gorov constant alpha. (C) 1997 American Institute of Physics.