Jones W P, Brian Edward Launder. 1972. The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, 15(2): 301-314. |
Savage Bruce M, Michael C Johnson. 2001. Flow over ogee spillway: Physical and numerical model case study. Journal of Hydraulic Engineering, 127(8): 640-649. |
Chatila Jean, Mazen Tabbara. 2004. Computational modeling of flow over an ogee spillway. Computers & Structures, 82(22): 1805-1812. |
Vosoughifar Hamid Reza, Azarri Dolatshah, Seyed Kazem Sadat Shokouhi, et al. 2013. Evaluation of fluid flow over stepped spillways using the finite volume method as a novel approach. Strojniski Vestnik/ Journal of Mechanical Engineering, 59(5): 301-310. |
Falvey Henry T. 1990. Cavitation in chutes and spillways. Engineering Monograph 42. Water Resources Technical Publication. US Printing Office. Bureau of Reclamation, Denver. |
Daneshfaraz Rasoul, Omar Minaei, John Abraham, et al. 2019. 3-D numerical simulation of water flow over a broad-crested weir with openings. ISH Journal of Hydraulic Engineering, 1-9. |
Olsen Nils R B, Hilde M Kjellesvig. 1998. Three-dimensional numerical flow modelling for estimation of spillway capacity. Journal of Hydraulic Research, 36(5): 775-784. |
WAN Wu-yi, LIU Bin, Awais Raza. 2018. Numerical prediction and risk analysis of hydraulic cavitation damage in a High-Speed-Flow spillway. Shock and Vibration. |
Daneshfaraz R, B Kaya, S Sadeghfam, et al. 2014. Simulation of flow over ogee and stepped spillways and comparison of finite element volume and finite element methods. Journal of Water Resource and Hydraulic Engineering, 3(2): 37-47. |
Chanel Paul Guy. 2009. An evaluation of computational fluid dynamics for spillway modeling. |
Taghavi Mehdi, Hesam Ghodousi. 2015. Simulation of flow suspended load in weirs by using flow 3D model. Civil Engineering Journal, 1(1): 37-49. |
Iranian Water Research Institute. 2009. Shahid Madani Dam’s spillway final report. Ministry of Energy (Tehran Iran): C8202-PR. |
Johnson Michael C, Bruce M Savage. 2006. Physical and numerical comparison of flow over ogee spillway in the presence of tailwater. Journal of Hydraulic Engineering, 132(12): 1353-1357. |
Launder Brian Edward, Dudley Brian Spalding. 1972. Mathematical models of turbulence (Academic Press). |
Aydin M Cihan, Mualla Ozturk. 2009. Verification and validation of a computational fluid dynamics (CFD) model for air entrainment at spillway aerators. Canadian Journal of Civil Engineering, 36(5): 826-836. |
Flow-Science. 2014. FLOW-3D user manual, version 11. In: Flow Science Santa Fe, NM. |
Bayon Arnau, Juan Pablo Toro, Fabián A Bombardelli, et al. 2018. Influence of VOF technique, turbulence model and discretization scheme on the numerical simulation of the non-aerated, skimming flow in stepped spillways. Journal of Hydroenvironment Research, 19:137-149. |
Parsaie Abbas, Sadegh Dehdar-Behbahani, Amir Hamzeh Haghiabi. 2016. Numerical modeling of cavitation on spillway’s flip bucket. Frontiers of Structural and Civil Engineering, 10(4): 438-444. |
Dular Matev?, Bernd Stoffel, Brane ?irok. 2006. Development of a cavitation erosion model. Wear, 261(5-6): 642-655. |
Yakhot VSASTBCG, SA Orszag, S Thangam, et al. 1992. Development of turbulence models for shear flows by a double expansion technique. Physics of Fluids A: Fluid Dynamics, 4(7): 1510-1520. |