基于MacCormack格式的变网格瞬变流模拟  

Transient flow simulation with variable grid based on MacCormack scheme

作　　者：万五一[1] 陈潇逸 张永进 WAN Wuyi;CHEN Xiaoyi;ZHANG Yongjin(Department of Hydraulic Engineering,Zhejiang University,Hangzhou 310058,China;Zhejiang Design Institute of Water Conservancy and Hydro-electric Power,Hangzhou 310002,China)

机构地区：[1]浙江大学水利工程学系,浙江杭州310058 [2]浙江省水利水电勘测设计院,浙江杭州310002

出　　处：《水利学报》2020年第11期1315-1324,共10页Journal of Hydraulic Engineering

基　　金：国家自然科学基金项目(51779216)。

摘　　要：输水工程中的水锤现象是设计和运行部门极为关注的问题,数值模拟是管路系统中水锤压力预测和控制的重要环节。为了对变特性管路系统的水锤进行数值模拟,建立了基于MacCormack格式的变空间步长的水锤计算模型(V-MCS)。通过与经典的Method of Characteristics(MOC)方法及固定步长的MacCormack(MTMS)方法模拟结果的对比,对V-MCS方法进行了验证。采用V-MCS方法模拟了变特性管路系统中的水锤过程,获得了管道压力与流量波动过程以及全线极值压力分布情况。结果表明,在变特性管路系统中,V-MCS方法可以有效地对复杂管路水锤现象进行模拟。该方法在空间网格划分上更为灵活,可根据计算需求对管道各个区域选取不等的空间步长,能在一定程度上减少计算断面数量,在不改变管路固有波速的情况下可实现对复杂管路系统的同步水锤模拟。The water hammer phenomenon in the water conveyance project is a problem of great concern to the design and operation departments.Numerical simulation is an important link in the prediction and con⁃trol of water hammer in pipeline system.In order to simulate the water hammer of variable characteristic pipe system,a variable space step solution model(V-MCS)is established on the basis of MacCormack scheme.The V-MCS method is verified by comparing the simulation results with the classical MOC and MTMS method.The V-MCS method is used to simulate the water hammer process in variable characteristic pipe system.The fluctuating process of pipeline pressure and flow and the distribution of extreme pressure along the pipeline are obtained.The results show that the V-MCS method can effectively simulate the wa⁃ter hammer process in variable characteristic pipe system.The V-MCS method has the advantage of flexible grid division,which can select different space steps for different regions of the pipeline according to the calculation requirements.Moreover,this method can realize the synchronous water hammer simulation of complex pipeline system without changing the inherent wave velocity.

关 键 词：水锤 数值模拟 MacCormack格式 离散网格 变步长 

分 类 号：TV136[水利工程—水力学及河流动力学]