On the ERG approach in $3 - d$ Well Developed Turbulence

Details On the ERG approach in $3 - d$ Well Developed Turbulence On the ERG approach in $3 - d$ Well Developed Turbulence

1997-09-25

arxiv.org/abs/hep-th/9709185v2

Phys.Lett. B411 (1997) 117-126

Physics

High Energy Physics

High Energy Physics - Theory

25 pages LaTex2e file with 2 .eps figures. submitted to Phys. Rew. E

Scientific paper

We apply the method of the Renormalization Group (GR), following the Polchinski point of view, to a model of well developed and isotropic fluid turbulence. The Galilei-invariance is preserved and a universal behavior, related to the change of the stochastic stirring force, is evident by the numerical results in the inertial region, where a scale-invariant behavior also appear. The expected power law of the energy spectrum ($q^{-{5\over 3}}$) is obtained and the Kolmogorov constant $C_K$ agrees with experimental data.

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