有压与无压交接水力系统有限体积法模拟分析  

Finite volume method simulation analysis of combined hydraulic transients of pressurized pipe flow and open channel flow

作　　者：吴金远 周领[1,3] 胡垠盈 许宇阳 WU Jinyuan;ZHOU Ling;HU Yinying;XU Yuyang(College of Water Conservancy and Hydropower Engineering,Hohai University,Nanjing,Jiangsu 210098,China;Shanghai Municipal Engineering Design Institute(Group)Co.,Ltd.,Shanghai 200092,China;Yangtze Institute for Conservation and Development,Nanjing,Jiangsu 210098,China)

机构地区：[1]河海大学水利水电学院,江苏南京210098 [2]上海市政设计研究总院(集团)有限公司,上海200092 [3]长江保护与绿色发展研究院,江苏南京210098

出　　处：《排灌机械工程学报》2024年第4期373-379,387,共8页Journal of Drainage and Irrigation Machinery Engineering

基　　金：国家自然科学基金资助项目(51839008,51679066);霍英东教育基金会青年教师基金项目(161068)。

摘　　要：针对含无压段的长距离调水工程,采用二阶Godunov格式的有限体积法进行有压与无压交接水力计算模拟.首先根据有限体积法,分别对有压与无压的控制方程离散,采用Riemann求解器计算通量,并引入MINMOD斜率限制器进行数据重构.边界处采用虚拟边界,实现了计算区域与边界处的统一.在1个无压计算时步内,进行数个有压计算,从而实现有压与无压的交接计算.将所建模型与传统特征线法计算结果进行对比,验证了所建模型的精确性.结果表明,在库朗数小于1.00时,MOC在有压流与无压流均会产生较大的计算误差,而FVM计算更加准确.对比了有压与无压交接水力计算结果与有压段独立计算的结果,后者结果更加保守,工程经济性较差,证明了提出的有压与无压的交接水力计算的必要性与准确性.The finite volume method(FVM)of the second-order Godunov scheme was used to simulate the long-distance water conveyance system with pressurized and open channel sections.Firstly,the governing equations of pressurized pipe flow and open channel flow were respectively discretized according to FVM,the flux was calculated by the Riemann solver,and the MINMOD slope limiters were introduced to avoid spurious oscillations during data reconstruction.The virtual-boundary approach was presented to achieve a unified computation scheme for all the control volumes at the internal domain and boundaries.In an open channel calculation time interval,several pressure calculations were carried out to realize the joint calculation of pressurized pipe flow and open channel flow.The model proposed in this paper was compared with the traditional method of characteristics(MOC)to verify the accuracy of the proposed model,and the sensitivity of the calculation time interval was analyzed.The results show that when the Courant number is less than 1.00,MOC will produce large calculation errors in both pressurized pipe flow and open channel flow,while FVM calculations are more accurate.The results of the combined hydraulic calculation of pressurized pipe flow and open channel flow were compared with that of the independent calculation of the pressurized section.The latter result is more conservative,which makes the economics of the construction design stage poor.Therefore,the joint calculation of pressurized pipe flow and open channel flow proposed in this study is of high necessity.

关 键 词：有压管流 明渠流 有限体积法 Godunov格式 水力瞬变 

分 类 号：TV143.1[水利工程—水力学及河流动力学]