乱流の繰込み理論に関する研究 : 第1報, 乱流モデル構築に関する Yakhot-Orszag-Smith 理論の評価

抄録

The purpose of this paper is to estimate the renormalization group theory for turbulence developed by Yakhot and Orszag (1986) and reformulated by Yakhot and Smith (1992). We examine their basic theory for the Navier-Stokes equations, and the transport equations for the kinetic energy K and its dissipation rate ε. It becomes evident that their method is not related to Wilson's renormalization group theory. Their K-ε model is not directly obtained by the renormalization group method. They evaluated the Kolmogorov constant by setting ε=0 and ε=4 in the same equations. Furthermore, the constants in the K-ε model are invalid because of the same problem.