Group-theoretical model of developed turbulence and renormalization of the Navier-Stokes equation.
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.
Saveliev
V L
VL
Institute of Ionosphere, Almaty 480020, Kazakhstan and CORIA UMR 6614, University of Rouen, 76801 Saint-Etienne du Rouvray, France.
Gorokhovski
M A
MA