Study on Mathematical Model of Water and Sediment in front of the Dam under Multi-control Boundary Conditions

Abstract

Aiming at mathematical model of flow and sediment under multi-control boundary conditions in front of dams of hydropower station, a step-by-step solution method is proposed in this paper. In the first step, the influence of constraints such as the water intake of the power station is not considered. The water level control condition of the exit section is given according to the scheduling mode of the hydropower station, and the discharge is given by the inlet boundary. In the second step, the water level as the upstream boundary condition of the model according to the condition of the first step is obtained, and the discharge of the water intake of the hydropower station is defined as the downstream boundary condition. The mathematical model is used to perform simulation analysis on the Dashixia Reservoir. The analysis results show that the generator set, the middle desilting hole and the front area of emptying tunnel platform form scouring funnels after 50 years of operation, the sediments in front of the reservoir spillway are mainly flat silting and do not form flushing funnels. This method can reflect the influence of multiple constraint boundaries in front of the dam.