为了模拟输水管道的水力过渡过程, 建立了一种新型的有压管水力计算模型。采用有限体积法对一维有压管 道水锤方程在空间和时间上进行积分, 同时应用时间中心差分的Cr ank2Nico lson 隐式格式对偏微分项进行处理, 得 到具有二阶精度且无条件稳定的水锤方程离散格式, 并运用带有解析解的算例验证方法的准确性。通过模拟北京 市南水北调惠南庄泵站开、关过程, 可以提前预测出现的压力波动, 及早采取应对措施, 降低有害水锤出现的概率, 减少压力波动带来的不利影响, 使瞬变状态安全过渡到正常运行状态。结果表明此方法具有良好的工程应用性。

In or der t o simulate the hydraulic tr ansit ion pro cess in the pipeline, a new model o f hydraulic calculation of pressur e pipe w as established. The finite v olume metho d was used to conduct the spatial and t em po ral integ ratio ns for the o ne2dimension2 al equation of water hammer pr essure pipe , the implicit Crank2Nicolso n scheme of central difference of time w as used to treat the pa rtial differ ential items, and the discrete format of w ater hammer equatio ns with the second or der accuracy and unco ndit ion2 al stability was obtained. The ex ample w ith analytic solutions w as used to v erify the met ho d accuracy . Thr ough the simulation of opening and closing pro cesses o f H uinanzhuang pum ping station o f t he South2to2Nor th Water Div ersio n Project in Beijing , pres2 sure fluctuatio n can be predicted, therefor e ear ly respo nse measur es can be pro po sed to reduce the o ccur rence probability o f w a2 ter hammer and the adver se effects of pressur e fluctuatio n, and t he trainset co nditions can be chang ed into no rmal o per ation. T he met ho d has go od eng ineering applicat ion.