The role of the vortex helicity in the appearance of the energy inverse cascade Richardson−Kolmogorov in three-dimensional spiral turbulence of a rotating astrophysical nonmagnetic disk at high Reynolds numbers is discussed. Insert of the mechanism of the vortex dynamo in evolutionary model of a disk leads modification of constitutive relations for the turbulent heat flux and the turbulent stress tensor, and also in necessity of attraction to of additional transport equations for the averaged vorticity and averaged vortex helicity. It is concluded that as more and more reliable in numerical experiments of the concept of the inverse energy cascade in a helical turbulence, the account of this effect gets an important role at modelling of processes of generation of energy-intensive multiscale coherent vortex structures in astrophysical non-magnetic disk.

mathematical modelling, helical turbulence, inverse cascade of energy, negative viscosity

Mathematical modelling in actual problems of science and technics