LES Modeling of the Inverse Energy Cascade in 3D Turbulence

LES modeling of the inverse energy cascade in 3D turbulence was studied. The procedure of the low frequency filtration was carried out by averaging over the space with using the spherical filter with the sphere radius. Because these are the turbulent vortices with almost identical sizes that interact in the cascade process, the effect of the subnetwork turbulence is significant only in the region of large wave numbers with the order of magnitude. It should be noted that, in these calculations, we used the calculation grid nonuniform in radius y with the condensation in the mixture layer. It is possible to assume that the similar anomalous regions with the turbulence inversion energy flux manifest themselves also in other three-dimensional flows, where the large quasi-two-dimensional vortex structures, the dynamics of which is determined with the mechanisms of association of vortices and implication processes, are formed, while the contribution of viscous effects and the mechanisms of the vortex tube stretching are insignificant.