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

Paolo Tomassini
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Abstract

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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Paolo Tomassini. 1997-07-31. An Exact Renormalization Group analysis of 3-d Well Developed turbulence. https://doi.org/10.1016/s0370-2693(97)00980-5

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