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

Abstract

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 ($q^{-\frac{5}{3}}$) is obtained and the Kolmogorov constant $C_K$ agrees with experimental data.

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

References in corpus (5)

• Exact evolution equation for the effective potential
• Derivative Expansion of the Exact Renormalization Group
• On Truncations of the Exact Renormalization Group
• Ward identities and Wilson renormalization group for QED
• On the Fixed-Point Structure of Scalar Fields

Cited by in corpus (20)

• The nonperturbative functional renormalization group and its applications
• Exact Renormalization Group Equations. An Introductory Review
• Fully developed isotropic turbulence: nonperturbative renormalization group formalism and fixed point solution
• Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids
• Spatiotemporal velocity-velocity correlation function in fully developed turbulence
• Functional renormalisation group for turbulence
• Anomalous scaling at non-thermal fixed points of Burgers' and Gross-Pitaevskii turbulence
• A non-perturbative renormalization group study of the stochastic Navier--Stokes equation
• Breaking of scale invariance in the time dependence of correlation functions in isotropic and homogeneous turbulence
• Functional Renormalization Group approach to the Kraichnan model
• Spatio-temporal correlations in 3D homogeneous isotropic turbulence
• Gauge fixing, BRS invariance and Ward identities for randomly stirred flows
• Analysis of the dissipative range of the energy spectrum in grid turbulence and in direct numerical simulations
• Stationary, isotropic and homogeneous two-dimensional turbulence: a first non-perturbative renormalization group approach
• Functional renormalization-group approach to decaying turbulence
• Novel critical phenomena in compressible polar active fluids: Dynamical and Functional Renormalization Group Studies
• Galilean invariance and homogeneous anisotropic randomly stirred flows
• Renormalization Group Analysis of Turbulent Hydrodynamics
• Functional renormalisation group approach to shell models of turbulence
• Renormalization of shell model of turbulence