Scientific Journal of KubSAU

The article considers the mathematical task of calculating the transient flow of water in the regulation of concentrated releases of water discharges on stream flows in lower tails of spillway waterworks. An algorithm, analytical solutions based on hydraulic calculations of the process of propagation and transformation of long waves described by Saint-Venant equations are constituted. These equations are nonlinear and have no exact solutions. To obtain approximate solutions these equations are linearized. The efficiency of spillways depends on how accurately hydraulic processes characteristics are measured. Control and direct measurement of characteristics of hydraulic processes in natural conditions is difficult, which requires applying methods of mathematical modeling and simulation studies of transient processes, which are based on the algorithms of functioning of transient hydraulic processes control. Introduction of the developed method for hydraulic calculation of discharge releases to streams, diverting the water from water discharge structures, allows optimize idle and non-technological discharges of water from reservoirs. Considering the highly dynamic nature of the water flow in the lower tails of the dams at concentrated releases of water discharges from reservoirs, development of new methods of hydraulic calculation of extreme discharges and water depths at the critical sections of watercourses with transient regime of water flow is an important task