Renormalization-Group Analysis of Turbulence

Abstract

Using renormalization-group methods and the postulated equivalence between the inertial-range structures of turbulent flows satisfying initial and boundary conditions and of flows driven by a random force, we evaluate the Kolmogorov constant (1.617) and Batchelor constant (1.161), skewness factor (0.4878), power-law exponent (1.3307) for the decay of homogeneous turbulence, turbulent Prandtl number (0.7179), and von K\'arm\'an constant (0.372). This renormalization-group technique has also been used to derive turbulent transport models.