Using the new technology of longitudinal circulation currents which allows dissipating the excess kinetic energy, thus preventing riverbed erosion and increasing the reliability and environmental safety of the structure. In modern practice of the design of water discharge structures of high-pressure dams, those special properties of flows are widely used. This allows to solve a number of important engineering problems arising in the practice of operating the structures by using the new innovative approaches to. In the paper, the author offers an interesting solution to the engineering problem – A new mathematical modelling has been created. For this study, the standard software package Fluent in ANSYS R 19.0 is used and the required outcome is compared with experimental results. Consequently, the necessary parameters of the swirling flow which are required when evaluating the conditions for the coupling of the water discharged with the downstream of the dam structure are depend on the attained results.