The renormalization group (RNG) theory of turbulence is often used for the forced Navier-Stokes equation in order to investigate turbulence model in Fourier space. Iterative averaging method is proposed by McComb (1990), which is one of RNG theories of turbulence. Eddy viscosity type turbulence model was obtained by Nagano and Itazu (1997) using an iterative averaging method with sharp cutoff filter in Fourier space. In this paper, eddy viscosity type turbulence model is obtaine with general shaped filter satisfying a few conditions, and filter shape dependence of eddy viscosity is calculated.
