مدل‌سازی عددی تأثیر ایجاد روزنه در سرریزهای پلکانی روی استهلاک انرژی جریان با استفاده از مدل FLOW-3D

Aminvash, E., & Roushangar, K. (2023). Numerical Investigation of the Effect of the Frontal Slope of Simple and Blocky Stepped Spillway with Semi-Circular Crest on Its Hydraulic Parameters. Iranian Journal of Irrigation & Drainage, 17(1), 102-116. (In Persian).

Ashoor, A., & Riazi, A. (2019). Stepped Spillways and Energy Dissipation: A Non-Uniform Step Length Approach. Applied Sciences, 9 (23), 5071. https://www.mdpi.com/2076-3417/9/23/5071  

Ashour, A., & Salah, E. (2023). Numerical Study of Energy Dissipation in Baffled Stepped Spillway Using Flow-3D. International Journal of Research in Engineering, Science and Management, 6 (11), 7-11. https://journal.ijresm.com/index.php/ijresm/article/view/2847  

Chanson, H. (2002). Hydraulics of stepped chutes and spillways. CRC Press.

Chanson, H. (2022). Energy dissipation on stepped spillways and hydraulic challenges—Prototype and laboratory experiences. Journal of Hydrodynamics, 34(1), 52-62. https://doi.org/10.1007/s42241-022-0005-8

Chanson, H., & Toombes, L. (2004). Hydraulics of stepped chutes: The transition flow. Journal of Hydraulic Research, 42(1), 43-54. https://doi.org/10.1080/00221686.2004.9641182

Crookston, B. M., Flake, L. K., & Felder, S. (2024). Flow Nonuniformity and Energy Dissipation in Moderate-Sloped Stepped Chutes with a Labyrinth Crest. Journal of Hydraulic Engineering, 150(5), 04024024. https://doi.org/doi:10.1061/JHEND8.HYENG-13881  

Daryaee, M., Ahmadi, F., Peykani, P., & Zayeri, M. (2021). Prediction of longitudinal and transverse profiles of pressure flushing cones using artificial intelligence and data pre-processing. Water Supply, 22 (2), 1533-1545. https://doi.org/10.2166/ws.2021.333

 Eslami, A. (2017). investigating the effect of interference flow on energy dissipation and hydraulic jump characteristics due to the presence of slots or pores in the bed and wall of stepped spillway. M.Sc. Thesis. Supervised by Kashefipour, SM. Ahvaz: Shahid Chamran University of Ahvaz, Faculty of Water and Environmental Engineering. (In Persian).

Farooq, U., Li, S., & Yang, J. (2024). Numerical Analysis of Flow Characteristics and Energy Dissipation on Flat and Pooled Stepped Spillways. Water, 16(18), 2600. https://www.mdpi.com/2073-4441/16/18/2600

Ghaderi, A., & Abbasi, S. (2023). Numerical investigation of velocity distribution and flow characteristics over modified steps of stepped spillway. Journal of Hydraulics, 18(1), 81-104. (In Persian).

Ghaderi, D., Ebrahimnezhadian, H., & Mollazadeh, M. (2023). A three-dimensional study of flow characteristics over different forms of stepped–labyrinth spillways in the skimming flow regime. AQUA - Water Infrastructure, Ecosystems and Society, 72 (8), 1415-1430. https://doi.org/10.2166/aqua.2023.030  

Ghaderi, D., Ebrahimnezhadian, H., & Mollazadeh, M. (2024). Three-dimensional analysis of the performance of circular stepped spillways in the skimming flow regime. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 46 (7), 415. https://doi.org/10.1007/s40430-024-05004-8  

Güven, A., & Mahmood, A. H. (2020). Numerical investigation of flow characteristics over stepped spillways. Water Supply, 21 (3), 1344-1355. https://doi.org/10.2166/ws.2020.283  

Hirt, C. W., & Nichols, B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39 (1), 201-225. https://doi.org/https://doi.org/10.1016/0021-9991(81)90145-5

Ikinciogullari, E. (2023). Stepped spillway design for energy dissipation. Water Supply, 23 (2), 749-763. https://doi.org/10.2166/ws.2023.016  

Jahad, U. A., Chabuk, A., Al-Ameri, R., Majdi, H. S., Majdi, A., Al-Ansari, N., & Abed, S. A. (2024). Flow characteristics and energy dissipation over stepped spillway with various step geometries: case study (steps with curve end sill). Applied Water Science, 14 (3), 60. https://doi.org/10.1007/s13201-024-02110-9  

Kalateh, F., Aminvash, E., & Daneshfaraz, R. (2024). On the hydraulic performance of the inclined drops: the effect of downstream macro-roughness elements. AQUA - Water Infrastructure, Ecosystems and Society, 73 (3), 553-568. https://doi.org/10.2166/aqua.2024.304  

KC, M. R., & Crookston, B. (2024). A laboratory study on the energy dissipation of a bevel-faced stepped spillway for embankment dam applications. Proceedings of the 10th International Symposium on Hydraulic Structures (ISHS) 2024, Zurich, Switzerland.

Khatsuria, R. M. (2004). Hydraulics of spillways and energy dissipators. CRC press.

Liu, G., Qian, S., Feng, J., Xu, H., Ma, F., & Zhou, Y. (2025). Inception Line of Air Entrainment for Converging Stepped Spillways. Journal of Hydraulic Engineering, 151 (1), 06024010.

Moghadam, M. K., Amini, A., & Moghadam, E. K. (2020). Numerical study of energy dissipation and block barriers in stepped spillways. Journal of Hydroinformatics, 23 (2), 284-297. https://doi.org/10.2166/hydro.2020.245

 Moghaddam, A. K., Ahmadian, S., & Dashtibadfarid, M. (2017). Static Pressure Analysis in Stepped Chutes with Inclined and Horizontal Steps in Nappe and Skimming Flow Regimes. International Journal of Science and Engineering Investigations, 6(65).

Mohammad Rezapour Tabari, M., & Tavakoli, S. (2016). Effects of Stepped Spillway Geometry on Flow Pattern and Energy Dissipation. Arabian Journal for Science and Engineering, 41 (4), 1215-1224. https://doi.org/10.1007/s13369-015-1874-8  

Naseri, R., & Kashefipour, SM. (2022). The Effect of Gabion Stepped Spillway Porosity on Energy Dissipation and Characteristics of Downstream Hydraulic Jump of Weir. Irrigation Sciences and Engineering, 45 (1), 1-17. (In Persian)

Nasralla, T. H. (2022). Energy dissipation in stepped spillways using baffled stilling basins. ISH Journal of Hydraulic Engineering, 28(3), 243-250. https://doi.org/10.1080/09715010.2021.1871786  

Nouroozi, S., & Ahadiyan, J. (2017). Effect of Vortex Breaker Blades 45 Degree on Discharge Coefficient of Morning Glory Spillway Using Flow-3D. Irrigation Sciences and Engineering, 40(1), 191-200. (In Persian)

Pari, S. A. A., Razmkhah, A., Pari, S. A. A., & Kordnaeij, M. (2023). Experimental Study of the Effect of the Location of a Continuous Porous Obstacle on the Bottom of a Stepped Spillway on the Characteristics of the Flow. Water Engineering, 16(56), 79-94. (In Persian).

Pujari, S., Kaushik, V., Awasthi, N., Gupta, S. K., & Kumar, S. A. (2023). Application of machine learning approaches in the computation of energy dissipation over rectangular stepped spillway. H2Open Journal, 6 (3), 433-448. https://doi.org/10.2166/h2oj.2023.007  

Rajaratnam, N. (1990). Skimming Flow in Stepped Spillways. Journal of Hydraulic Engineering, 116 (4), 587-591. https://doi.org/doi:10.1061/(ASCE)0733-9429(1990)116:4(587)  

Roshan, R., Azamathulla, H. M., Marosi, M., Sarkardeh, H., Pahlavan, H., & Ab Ghani, A. (2010). Hydraulics of stepped spillways with different numbers of steps. Dams and Reservoirs, 20 (3), 131-136. https://doi.org/10.1680/dare.2010.20.3.131

Roushangar, K., & Akhgar, S. (2019). Numerical and Experimental Study of the Influence of Wedge Elements on Roughness and Energy Dissipation over Stepped Spillway. Iranian Journal of Irrigation & Drainage, 13(1), 78-88. (In Persian)

Roushangar, K., Akhgar, S., & Shahnazi, S. (2022). The effect of triangular prismatic elements on the hydraulic performance of stepped spillways in the skimming flow regime: an experimental study and numerical modeling. Journal of Hydroinformatics, 24 (2), 243-258. https://doi.org/10.2166/hydro.2022.031  

Sabahi, N. (2024). A review of numerical simulations on stepped spillways using the k-ε turbulence model. International Journal of Science and Research Archive, 12(1), 978-989.

Salmasi, F., Abraham, J., & Salmasi, A. (2021). Effect of stepped spillways on increasing dissolved oxygen in water, an experimental study. Journal of Environmental Management, 299, 113600.              

Saqib, N. u., Akbar, M., Pan, H., Ou, G., Mohsin, M., Ali, A., & Amin, A. (2022). Numerical Analysis of Pressure Profiles and Energy Dissipation across Stepped Spillways Having Curved Risers. Applied Sciences, 12(1), 448. https://www.mdpi.com/2076-3417/12/1/448

Sarkamaryan, S., & Ahadiyan, J. (2020). Mathematical modeling of energy loss on Stepped Spillway Using ANSYS-CFX Numerical Model. Irrigation Sciences and Engineering, 43(1), 43-56. (In Persian)

Simões, A. L. A., França, T. I. d. S., Queiroz, L. M., Lima Neto, I. E., Schulz, H. E., Fontes, D. C. H., & Porto, R. d. M. (2024). Dimensionless Equations for Hydraulic Jump Stilling Basins Downstream of Gabion Stepped Chutes. Journal of Hydraulic Structures, 51-64.

Taheri Talavari, T., Sajjadi, S. M., Ahadiyan, J., & Azizi Nadian, H. (2024). Numerical hydraulic and hydrodynamic investigation of flow passing through multiple elliptic lopac gates with Flow 3D software. Advanced Technologies in Water Efficiency, 4(3), 40-60. (In Persian)

Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T., & Speziale, C. (1992). Development of turbulence models for shear flows by a double expansion technique. Physics of Fluids A: Fluid Dynamics, 4(7), 1510-1520.

Zhou, Y., Wu, J., Ma, F., & Qian, S. (2021). Experimental Investigation of the Hydraulic Performance of a Hydraulic-Jump-Stepped Spillway. KSCE Journal of Civil Engineering, 25(10), 3758-3765. https://doi.org/10.1007/s12205-021-1709-y