Group-theoretical model of developed turbulence and renormalization of the Navier-Stokes equation

2005

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DOI 10.1103/physreve.72.016302
Data confidence 70 medium
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Abstract

On the basis of the Euler equation and its symmetry properties, this paper proposes a model of stationary homogeneous developed turbulence. A regularized averaging formula for the product of two fields is obtained. An equation for the averaged turbulent velocity field is derived from the Navier-Stokes equation by renormalization-group transformation.