Simulation of long-distance water transportation system with a combination of free surface and pressurized flows based on Godunov scheme
In this paper,finite volume method Godunov scheme coupled hydraulic transient mathematical model is developed for a long-distance water transportation system with a combina-tion of free surface and pressurized flows,and the operational hydraulic characteristics are simula-ted and studied.For the transition from free surface flow to pressurized flow,the Preissmann slot approach considering the hammer effect of pressurized flow is proposed to simulate the hydraulic transient of pressurized flow.Based on the finite volume method Godunov scheme,the governing equations are discretized.The virtual boundary method was proposed to achieve unified calculation of boundaries and internal cells,simplifying the complexity of calculation.The proposed model is used for actual engineering to calculate and analyze the steady-state operating flow regime,rough-ness sensitivity,and hydraulic transition process.The results show that the simulation results of the constructed model are basically consistent with the accurate Riemann solution data.Under steady-state operation,the higher the operating flow rate,roughness,and downstream outlet wa-ter level,the greater the full pipe rate,maximum pipeline filling,and minimum pipeline filling,while the higher the water surface line.The inertial oscillation of inverted siphon at a higher water surface can cause local alternating flow fluctuations in the transient process.
Long-distance water transportation systemFinite volume methodHydraulic tran-sient processMixed flow