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在水电站运行过程中,为了避免机组增减负荷产生的水锤威胁输水系统的安全,需要对有压管道中的水锤进行精确的模拟计算。基于有限体积法对有压管道水锤方程分别进行空间和时间尺度上的积分,并采用隐式的Crank-Nicolson格式对偏微分项进行处理,从而得到了具有二阶精度且无条件稳定的水锤方程离散格式。通过算例比较了该离散格式与特征线法的计算结果,结果表明,新推导的离散格式在计算有压管道水锤问题时具有较高的精度且稳定性较好。
In the process of hydropower station operation, in order to avoid the water hammer threatening the water delivery system caused by the increase or decrease of the load of the unit, accurate calculation of the water hammer in the pressurized pipe is required. Based on the finite volume method, the pressure and water hammer equations were integrated on the space and time scale respectively. The implicit Crank-Nicolson scheme was used to process the partial differential terms. The second-order accuracy and unconditionally stable water hammer Discrete formula. The calculated results of the discrete and feature method are compared by examples. The results show that the new discrete form has higher precision and better stability in the calculation of water hammer in pressurized pipe.