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arxiv: hep-th/9709185 · v2 · pith:YYOUDLWTnew · submitted 1997-09-25 · ✦ hep-th · chao-dyn· nlin.CD· physics.flu-dyn

On the ERG approach in 3 - d Well Developed Turbulence

classification ✦ hep-th chao-dynnlin.CDphysics.flu-dyn
keywords behaviordevelopedturbulencewellagreesappearapplyapproach
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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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