CAJ | 학술논문

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 Crank-Nicolson 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。
위료모의수수관도적수력과도과정，건립료일충신형적유압관수력계산모형。채용유한체적법대일유유압관도수추방정재공간화시간상진행적분，동시응용시간중심차분적 Crank-Nicolson 은식격식대편미분항진행처리，득도구유이계정도차무조건은정적수추방정리산격식，병운용대유해석해적산례험증방법적준학성。통과모의북경시남수북조혜남장빙참개、관과정，가이제전예측출현적압력파동，급조채취응대조시，강저유해수추출현적개솔，감소압력파동대래적불리영향，사순변상태안전과도도정상운행상태。결과표명차방법구유량호적공정응용성。
In order to simulate the hydraulic transition process in the pipeline,a new model of hydraulic calculation of pressure pipe was established.The finite volume method was used to conduct the spatial and temporal integrations for the one-dimension-al equation of water hammer pressure pipe ,the implicit Crank-Nicolson scheme of central difference of time was used to treat the partial differential items,and the discrete format of water hammer equations with the second order accuracy and uncondition-al stability was obtained.The example with analytic solutions was used to verify the method accuracy.Through the simulation of opening and closing processes of Huinanzhuang pumping station of the South-to-North Water Diversion Project in Beijing,pres-sure fluctuation can be predicted,therefore early response measures can be proposed to reduce the occurrence probability of wa-ter hammer and the adverse effects of pressure fluctuation,and the trainset conditions can be changed into normal operation.The method has good engineering application.