Derivation of Turbulent Fluctuations in Renormalization Theory with Asymptotic Expansion Contradiction Method on Integrated Generative AI

This paper is described that the renormalization group equation for the turbulent analysis. On the renormalization group equation for turbulent flow, the coarse grained parameter "ε" and the scale parameter "r" are explained the character of the Navier Stokes equation pictured on the frequency domain. The relation of the coarse grained parameter "ε" and the scale parameter "r" is discussed with the renormalization group equation.Then disscussed the derivation of turbulent fluctuations parameters of the coarse grained parameter "ε" and the scale parameter "r" in renormalization theory with asymptotic expansion contradiction method based on the concept of Integrated Generation AI.