title: Solvable model in renormalization group analysis for effective eddy viscosity.
abstract: This study presents a solvable model in renormalization group analysis for the effective eddy viscosity. It is found fruitful to take a simple hypothesis that large-scale eddies are statistically independent of those of smaller scales. A limiting operation of renormalization group analysis yields an inhomogeneous ordinary differential equation for the invariant effective eddy viscosity. The closed-form solution of the equation facilitates derivations of an expression of the Kolmogorov constant C(K) and of the Smagorinsky model for large-eddy simulation of turbulent flow. The Smagorinsky constant C(S) is proportional to C(3/4)(K). In particular, we shall illustrate that the value of C(K) ranges from 1.35 to 2.06, which is in close agreement with the generally accepted experimental values (1.2 approximately 2.2).
authors.affiliation: Institute of Applied Mechanics, College of Engineering, National Taiwan University, Taipei 10764, Taiwan, Republic of China. changcc@gauss.iam.ntu.edu.tw
authors.forename: Chien C
authors.initials: CC
authors.lastname: Chang
authors.forename: Bin-Shei
authors.initials: BS
authors.lastname: Lin
authors.forename: Chi-Tzung
authors.initials: CT
authors.lastname: Wang