Modeling of high-rate high-gradient processes based on the self-consistent nonequiubrium distribution function

A new approach to describe high-rate and high-gradient processes in real media is developed. It is based on the nonlocal hydrodynamical equations with memory, derived from the first principles and on the modeling of transport relaxational kernels with feedback. An explicit form of the nonequilibrium distribution function for the dynamical processes in open systems has been derived in scope of the approach. By using this function an approximate analytical solution for a nonlinear boundary-value problem of a non-stationary flow of medium with Unite size structure elements has been obtained. An analysis shows that a formation and evolution of vortical structures near rigid boundaries and in mixing layers are determined by a history of the relative accelerations between a wall and a medium or between two flows.