Monsef H., Naqashzadegan M., Jamali A. & Farmani R. 2022, Comparison of reliability indicators in the optimal design of urban water supply networks. Modares Civil Engineering Journal, 22(4), 7-18. (in Persian)
2. Fatouhi Moghadam M., Haghigipour S. & Kayani S. 2015, Evaluation of non-permanent friction loss in transient flow, Irrigation and Water Engineering Research Quarterly, 7 (26) (in Persian)
3. Bakhtiari Sh., Safavi H-R. & Golmohamadi M-H., 2015, analysis and evaluation of the performance of water distribution networks using performance criteria and deterministic and fuzzy stability index, Water and Wastewater Science and Engineering Quarterly, 1(1). (in Persian)
4. Abuiziah I., Sebari A.O. K. & Ouazar D., 2013, Simulating Flow Transients in Conveying Pipeline Systems by Rigid Column and Full Elastic Methods: Pump Combined with Air Chamber. International Journal of Mechanical and Mechatronics Engineering, 7 (12), 2391-2397.
5. Sarbu L. & Tokar A.,2018, Numerical Simulation Of Unsteady Flow in Water Supply Pipe Networks. A NNALS of Faculty Engineering Hunedoara – International Journal of Engineering.
6. Malekpour A., 2014, Analysis of Rapid Pipeline Filling Including Column Separation & Entrapped Air Effects. University of Toronto (Canada).
7. Bergant A., & Simpson A.R., 1999, Pipeline column separation flow regimes. Journal of Hydraulic Engineering, 125(8), 835-848.
8. Bergant A., A.R.S. & Tijsseling A.S.,2006, Water hammer with column separation: A historical review. Journal of Fluids and Structures, 171-135.
9. Safari S., Givehchi M., Azhdari Moghadam M.,2018, Investigating the phenomenon of water column separation in the water supply network using WaterGEMS, 18th Iranian Hydraulic Conference, Faculty of Civil Engineering, Technical Faculty Campus, University of Tehran.(in Persian).
10. Bergant A., Tijsseling A. S., Vitkovský J., Simpson A. R., & Lambert M., 2007, Discrete vapour cavity model with improved timing of opening and collapse of cavities. Department of mathematics and computer science, University of technology.
11. Adamkowski A. & Lewandowski M.,2009, A new method for numerical prediction of liquid column separation accompanying hydraulic transients in pipelines. Journal of fluids engineering, 131(7).
12. Malekpour A. & Karney B., 2014, Profile-induced column separation and rejoining during rapid pipeline filling. Journal of Hydraulic Engineering, 140(11). 04014054.
13. Twyman, J., 2018, Water Hammer and Column Separationdue to Pump Shutdown. Revista Ingeniería De Obras Civiles, 8(1), 19-28.
14. Zhang B., Wan W. & Shi M., 2018, Experimental and numerical simulation of water hammer in gravitational pipe flow with continuous air entrainment. Water, 10(7), 928.
15. Jiang, D., Ren C., Zhao T. & Cao W., 2018, Pressure transient model of water-hydraulic pipelines with cavitation. Applied Sciences, 8(3), 388.
16. Zhou, L., Wang H., Anton Bergant A., Tijsseling A.S., Liu D. & Guo S.,2018, Godunov-type solutions with discrete gas cavity model for transient cavitating pipe flow. J. Hydraul. Eng, 144(5), 04018017.
17. Malekpour A. & She Y., 2018, Air pocket detection in water and wastewater conveyance pipelines using inverse transient analysis. Proc., Condition assessment, construction, and rehabilitation.
18. Zhou L., Wang H., Liu D., Ma J., Wang P. & Xia L., 2017, A second-order finite volume method for pipe flow with water column separation. Journal of Hydro-environment Research, 17, 47-55.
19. Todini E., Santopietro S., Gargano R., Lewis A. Rossman L.A. & Asce M., 2021, Pressure Flow–Based Algorithms for Pressure-Driven Analysis of Water Distribution Networks. Journal of Water Resources Planning and Management, 147(8), 04021048.
20. Warda H., Wahba E. & El-Din M.S., 2020 Computational Fluid Dynamics (CFD) simulation of liquid column separation in pipe transients. Alexandria Engineering Journal, 59(5), 3451-3462.
21. Mohammadi R. & Aghaei M., 2021 Numerical simulation of ram impact caused by rapid valve closing in different fluids, Amirkabir Mechanical Engineering Journal, 53(7), 4188-4171. (in Persian).
22. Wang, H., Zhou L., Liu D., Karney B., ASCE M., Wang P., Xia L., Ma J. & Xu CH.,2016, CFD approach for column separation in water pipelines. Journal of Hydraulic Engineering, 142(10), 04016036.
23. Yang, Sh., Wu D., Lai Zh. & DuT., 2017, Three-dimensional computational fluid dynamics simulation of valve-induced water hammer. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 231(12), 2263-2274.
24. Zhang, X., Cheng Y., Yang Zh., Chen Q. & Liu D., 2021, Water column separation in pump-turbine after load rejection: 1D-3D coupled simulation of a model pumped-storage system. Renewable Energy, 163, 685-697.
25. Shahangian R., Tabesh M. & Mirabi M-H., 2015, Numerical investigation of leakage from steel pipes submerged in water with reference to the laboratory results of non-submerged pipes, Hydraulic Journal, 11 (4), 29-44. (in Persian)
26. Shujaei Fard M. H., 2011, an introduction to turbulent flows and its modeling, Iran University of Science and Technology, Tehran, first edition, (in Persian)
27. Daneshfraz R., Nikpour M-R. & Sadeghi H., Simulation of hydraulic phenomena using Fluent, Omidi Publications, Tabriz, first edition, (2012). (in Persian).
28. Wang, L., Wang F., Karney B. & Malekpour A., 2017, Numerical investigation of rapid filling in bypass pipelines. Journal of Hydraulic Research, 55(5), 647-656.
29. Malekpour, A. & B. Karney., 2012, Rapid filling in pipe systems with column separation. in 11th International Conference on Pressure Surges.