Development of 1D Numerical Model for Pipe Flow with Open-Channel to Pressurized Flow Transition in Urban Pipe Networks

CHEN Zi-yi, HUANG Wei, NI Yu-fang, CHEN Duan

Journal of Changjiang River Scientific Research Institute ›› 2026, Vol. 43 ›› Issue (6) : 217-226.

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Journal of Changjiang River Scientific Research Institute ›› 2026, Vol. 43 ›› Issue (6) : 217-226. DOI: 10.11988/ckyyb.20260137
Structural And Non-Structural Measures

Development of 1D Numerical Model for Pipe Flow with Open-Channel to Pressurized Flow Transition in Urban Pipe Networks

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Abstract

[Objective] To address the insufficient physical representation and poor adaptability to complex boundaries of the traditional Preissmann slot method in simulating open channel-to-pressurized flow transitions in drainage networks,this study develops a one-dimensional hydrodynamic model using the Godunov-type finite volume method. [Methods] The model employs two sets of governing equations for free-surface and pressurized flows,coupling the Two-Component Pressure Approach (TPA) with an improved Harten-Lax-van Leer with Source term (HLLS) Riemann solver. This establishes a unified simulation framework for open-channel flow,pressurized flow,and mixed open channel-pressurized flow. Accordingly,the model proposes treatment methods for various typical boundaries,including junction nodes,storage tanks,control gates,pump station outlets,and river-lake systems,based on the characteristic line equations and actual pipeline geometric parameters,significantly enhancing its applicability in pipe network systems. The model is validated through classical test cases such as tree-like and looped pipe networks,showing excellent agreement between simulated and expected results. [Result] The study reveals that the widely used SWMM model,which is based on the Preissmann slot method and the “pipe-node” conceptualization approach,produces unrealistic physical phenomena—such as synchronized water level variations at adjacent nodes—when simulating unsteady flow propagation in pipe networks. In contrast,the proposed model accurately captures non-uniform water level rises and transient fluctuation characteristics along pipelines,providing a more realistic representation of flow propagation. [Conclusion] The proposed model is suitable for detailed dynamic simulations of mixed free-surface and pressurized flows in urban drainage networks.

Key words

mixed open channel and pressurized flow / numerical simulation / TPA method / Godunov-type finite volume method / urban drainage pipeline networks

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CHEN Zi-yi , HUANG Wei , NI Yu-fang , et al. Development of 1D Numerical Model for Pipe Flow with Open-Channel to Pressurized Flow Transition in Urban Pipe Networks[J]. Journal of Changjiang River Scientific Research Institute. 2026, 43(6): 217-226 https://doi.org/10.11988/ckyyb.20260137

References

[1]
邓秉德, 庞晓波, 黄妙棋. 基于蒙特卡罗模拟方法的城市内涝灾害风险分析[J]. 统计与决策, 2015, 31(20):111-115.
(Deng Bing-de, Pang Xiao-bo, Huang Miao-qi. Risk Analysis of Urban Waterlogging Disaster Based on Monte Carlo Simulation Method[J]. Statistics & Decision, 2015, 31(20): 111-115.) (in Chinese)
[2]
宋瑞宁, 任梦瑶, 闫攀, 等. 基于行人安全的城市内涝风险等级评估[J]. 给水排水, 2021, 57(2): 40-45.
(Song Rui-ning, Ren Meng-yao, Yan Pan, et al. Urban Waterlogging Risk Level Assessment from the Perspective of Pedestrian Safety[J]. Water & Wastewater Engineering, 2021, 57(2): 40-45.) (in Chinese)
[3]
张晓昕, 索滢, 刘子龙, 等. 基于文献计量学的城市内涝风险评估研究进展与趋势展望[J]. 中国防汛抗旱, 2024, 34(10): 1-8.
(Zhang Xiao-xin, Suo Ying, Liu Zi-long, et al. Advances and Future Trends in Urban Flooding Risk Assessment Based on Bibliometrics[J]. China Flood & Drought Management, 2024, 34(10): 1-8.) (in Chinese)
[4]
刘家宏, 裴羽佳, 梅超, 等. 郑州“7·20”特大暴雨内涝成因及灾害防控[J]. 郑州大学学报(工学版), 2023, 44(2): 38-45.
(Liu Jia-hong, Pei Yu-jia, Mei Chao, et al. Waterlogging Cause and Disaster Prevention and Control of “7·20” Torrential Rain in Zhengzhou[J]. Journal of Zhengzhou University (Engineering Science), 2023, 44(2): 38-45.) (in Chinese)
[5]
Vasconcelos J G, Wright S J, Roe P L. Improved Simulation of Flow Regime Transition in Sewers: Two-component Pressure Approach[J]. Journal of Hydraulic Engineering, 2006, 132(6): 553-562.
[6]
黄华, 李晓晨, 张兆波, 等. 明满交替流数值模拟计算方法研究进展[J/OL]. 水利水电技术(中英文), 2025(2025-12-02).
(Huang Hua, Li Xiao-chen, Zhang Zhao-bo, et al. Research Progress on Numerical Simulation Methods for Mixed Free-surface and Pressurized Flows[J/OL]. Water Resources and Hydropower Engineering, 2025 (2025-12-02).) (in Chinese)
[7]
Vasconcelos J G, Wright S J. Comparison between the Two-component Pressure Approach and Current Transient Flow Solvers[J]. Journal of Hydraulic Research, 2007, 45(2): 178-187.
[8]
Bousso S, Fuamba M. Numerical and Experimental Analysis of the Pressurized Wave Front in a Circular Pipe[J]. Journal of Hydraulic Engineering, 2014, 140(3):300-312.
[9]
Fuamba M. Contribution on Transient Flow Modelling in Storm Sewers[J]. Journal of Hydraulic Research, 2002, 40(6): 685-693.
[10]
陶智国, 周领, 邱海云, 等. 复杂管道瞬变流的二阶GTS-MOC耦合求解方法[J]. 力学学报, 2024, 56(5):1488-1496.
(Tao Zhi-guo, Zhou Ling, Qiu Hai-yun, et al. A Coupled Second-order GTS-MOC Solution for Transient Flows in Complex Pipes[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5):1488-1496.) (in Chinese)
[11]
Maranzoni A, Dazzi S, Aureli F, et al. Extension and Application of the Preissmann Slot Model to 2D Transient Mixed Flows[J]. Advances in Water Resources, 2015, 82: 70-82.
[12]
孙万光, 李成振, 马军, 等. 基于精确Riemann求解器的明满流过渡过程模拟[J]. 水科学进展, 2020, 31(6): 936-945.
(Sun Wan-guang, Li Cheng-zhen, Ma Jun, et al. Simulation of Transient Mixed Flows Based on the Exact Riemann Solver[J]. Advances in Water Science, 2020, 31(6): 936-945.) (in Chinese)
[13]
Dazzi S, Maranzoni A, Mignosa P. Local Time Stepping Applied to Mixed Flow Modelling[J]. Journal of Hydraulic Research, 2016, 54(2): 145-157.
[14]
Robert B. Exploring New Technologies for Simulation and Analysis of Urban Flooding[D]. Newcastle: University of Newcastle upon Tyne, 2019.
[15]
Kerger F, Erpicum S, Archambeau P, et al. Numerical Simulation of One-dimensional Mixed Flow with Air/Water Interaction[J]. Computational Methods in Multiphase Flow V, 2009, 1: 367-378.
[16]
王衍超. 长距离调水系统明满流耦合水动力学模型研究及其应用[D]. 大连: 大连理工大学, 2015.
(Wang Yan-chao. Study of Hydrodynamics System of the Free-Surface-Pressure Flow in Long Distance Water Diversion Project and Its Application[D]. Dalian: Dalian University of Technology, 2015.) (in Chinese)
[17]
Khani D, Lim Y H, Malekpour A. Investigating the Performance of the Modified Two-component Pressure Approach in Capturing Column Separation with Large Vapour Cavities[J]. Journal of Hydraulic Research, 2023, 61(5): 764-774.
[18]
Khani D, Lim Y H, Malekpour A. A Mixed Flow Analysis of Sewer Pipes with Different Shapes Using a Non-oscillatory Two-component Pressure Approach (TPA)[J]. Modelling, 2021, 2(4): 467-481.
[19]
León A S, Ghidaoui M S, Schmidt A R, et al. Godunov-type Solutions for Transient Flows in Sewers[J]. Journal of Hydraulic Engineering, 2006, 132(8): 800-813.
[20]
León A S, Ghidaoui M S. Discussion of “Numerical Oscillations in Pipe-filling Bore Predictions by Shock-capturing Models” by J. G. Vasconcelos, S. J. Wright, and P. L. Roe[J]. Journal of Hydraulic Engineering, 2010, 136(6): 392-393.
[21]
Leon A S, Yin Z, Sharifi A. A Finite Volume Model for Maintaining Stationarity and Reducing Spurious Oscillations in Simulations of Sewer System Filling and Emptying[J]. Journal of Hydraulic Research, 2024, 62(3):267-282.
[22]
León A S, Liu X, Ghidaoui M S, et al. Junction and Drop-shaft Boundary Conditions for Modeling Free-Surface, Pressurized, and Mixed Free-surface Pressurized Transient Flows[J]. Journal of Hydraulic Engineering, 2010, 136(10): 705-715.
[23]
董柏良, 夏军强, 王小杰, 等. 地表径流与地下管流耦合的城市暴雨洪涝动力学模型[J]. 水资源保护, 2024, 40(6):95-103,172.
(Dong Bo-liang, Xia Jun-qiang, Wang Xiao-jie, et al. Urban Rainstorm Flood Dynamic Model Coupled with Surface Runoff and Sewer Flow[J]. Water Resources Protection, 2024, 40(6): 95-103, 172.) (in Chinese)
[24]
Hamam M A, McCorquodale J A. Transient Conditions in the Transition from Gravity to Surcharged Sewer Flow[J]. Canadian Journal of Civil Engineering, 1982, 9(2):189-196.
[25]
Song C C S, Cardie J A, Leung K S. Transient Mixed-flow Models for Storm Sewers[J]. Journal of Hydraulic Engineering, 1983, 109(11): 1487-1504.
[26]
Murillo J, García-Navarro P. Augmented Versions of the HLL and HLLC Riemann Solvers Including Source Terms in One and Two Dimensions for Shallow Flow Applications[J]. Journal of Computational Physics, 2012, 231(20):6861-6906.
[27]
Soares-Frazão S, Zech Y. Dam-break Flow through an Idealised City[J]. Journal of Hydraulic Research, 2008, 46(5): 648-658.
[28]
Akan A O, Yen B C. Diffusion-wave Flood Routing in Channel Networks[J]. Journal of the Hydraulics Division, 1981, 107(6): 719-732.
[29]
茅泽育, 赵雪峰, 赵璇, 等. 排水管网非恒定流数值模拟新方法[J]. 水利水运工程学报, 2007(2): 42-47.
(Mao Ze-yu, Zhao Xue-feng, Zhao Xuan, et al. A New Method for Simulation of Unsteady Flow within Drainage Network[J]. Hydro-Science and Engineering, 2007(2): 42-47.) (in Chinese)
[30]
Noto L, Tucciarelli T. DORA Algorithm for Network Flow Models with Improved Stability and Convergence Properties[J]. Journal of Hydraulic Engineering, 2001, 127(5):380-391.
[31]
杨东. 城市管网排水过程数值模拟方法及应用[D]. 西安: 西安理工大学, 2021.
(Yang Dong. NumericalSimulation Method and Application of Drainage Process in Urban Pipe Network[D]. Xi’an: Xi’an University of Technology, 2021.) (in Chinese)
[32]
Ji Z. General Hydrodynamic Model for Sewer/Channel Network Systems[J]. Journal of Hydraulic Engineering, 1998, 124(3): 307-315.
[33]
冯良记, 张明亮. 城市排水管网明满过渡流模型的研究及应用[J]. 中国给水排水, 2009, 25(23):131-134,137.
(Feng Liang-ji, Zhang Ming-liang. Study and Application of Free-surface-pressurized Flow Mathematical Model for Urban Drainage Networks[J]. China Water & Wastewater, 2009, 25(23):131-134,137.) (in Chinese)
[34]
范玉燕, 汪诚文, 喻海军. SWMM模型河道及明满流模拟能力分析研究[J]. 水资源与水工程学报, 2019, 30(1): 1-6.
(Fan Yu-yan, Wang Cheng-wen, Yu Hai-jun. Research on Simulation Ability to Deal with the Rivers and the Free-surface-pressure Flow of SWMM[J]. Journal of Water Resources and Water Engineering, 2019, 30(1): 1-6.) (in Chinese)
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