An Exact Renormalization Group analysis of 3-d Well Developed turbulence

Details An Exact Renormalization Group analysis of 3-d Well Developed turbulence An Exact Renormalization Group analysis of 3-d Well Developed turbulence

1997-06-11

arxiv.org/abs/chao-dyn/9706013v2

Physics

Condensed Matter

Statistical Mechanics

12 pg, 2figures, LaTex, To be published on Physics Letters B

Scientific paper

10.1016/S0370-2693(97)00980-5

We take advantage of peculiar properties of three dimensional incompressible turbulence to introduce a nonstandard Exact Renormalization Group method. A Galilean invariance preserving regularizing procedure is utilized and a field truncation is adopted to test the method. Results are encouraging: the energy spectrum E(k) in the inertial range scales with exponent -1.666+/- 0.001 and the Kolmogorov constant C_K, computed for several (realistic) shapes of the stirring force correlator, agrees with experimental data.

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