References
- LV, X.- ZOU, Q. - REEVE, D.: Numerical simulation of overflow at vertical weirs using a hybrid level set/VOF method. 2011. Advances in Water Resources, 34(10), pp.1320–1334.
- JAHAD, U.- AL-AMERI, R. - DAS, S.: Investigations of velocity and pressure fluctuations over a stepped spillway with new step configuration. 2022. Water Supply, 22(7), pp.6321–6337.
- SALMASI, F. - ÖZGER, M.: Neuro-fuzzy approach for estimating energy dissipation in skimming flow over stepped spillways. 2014. Arabian Journal for Science and Engineering, 39, pp.6099–6108.
- AL-MOHAMMED, F.- MOHAMMED, S.: Flow through and over gravel gabion weirs. 2015. Journal of Kerbala University, 13(25), pp.193-205.
- CHAMANI, M.- RAJARATNAM, N.: Characteristics of skimming flow over stepped spillways. 1999. Journal of Hydraulic Engineering, 125(4), pp.361-368.
- PEYRAS, L.- ROYET, P. - DEGOUTTE, G.: Flow and energy dissipation over stepped gabion weirs. 1992. Journal of Hydraulic Engineering, 118(5), pp.707–717.
- AL-FAWZY, A.- AL-MOHAMMED, F.- AL-FATLAWI, T.- AL-ZUBAIDY, R.: Dissipation energy of flow by stepped type gabion weir. 2020, February. In IOP Conference Series: Materials Science and Engineering (Vol. 737, No. 1, p. 012158). Iop Publishing.
- SALMASI, F. - SAMADI, A.: Experimental and numerical simulation of flow over stepped spillways. 2018. Applied Water Science, 8(8), p.229.
- MAHJOUBI, F. - KASHEFIPOUR, S.: Investigation the energy dissipation on gabion stepped weirs and downstream hydraulic jump characteristics. 2023. Irrigation Sciences and Engineering, 46(1), pp.65–76.
- ZUHAIRA, A.- AL-HAMD, R.- ALZABEEBEE, S. - CUNNINGHAM, L.: Numerical investigation of skimming flow characteristics over non-uniform gabion-stepped spillways. 2021. Innovative Infrastructure Solutions, 6, pp.1–19.
- LEU, J.- CHAN, H.- CHU, M.: Comparison of turbulent flow over solid and porous structures mounted on the bottom of a rectangular channel. 2008. Flow Measurement and Instrumentation, 19(6), pp.331–337.
- AL-HASHIMI, S.- MADHLOOM, H.- NAHI, T.: Experimental and numerical simulation of flow over broad crested weir and stepped weir using different turbulence models. 2017. Journal of Engineering and Sustainable Development, 21(2), pp.28-45.
- GHADERI, A.- ABBASI, S. - DI FRANCESCO, S.: Numerical study on the hydraulic properties of flow over different pooled stepped spillways. 2021. Water, 13(5), p.710.
- HEKMATZADEH, A.- PAPARI, S. - AMIRI, S.: Investigation of energy dissipation on various configurations of stepped spillways considering several RANS turbulence models. 2018.Iranian Journal of Science and Technology, Transactions of Civil Engineering, 42, pp.97–109.
- JAHAD, U.- CHABUK, A.- ALABAS, M.- MAHMOUD, A.- AL-ANSARI, N. - LAUE, J.: CFD analysis of the effects of compound downstream slope on flow over the spillway. 2023. Journal of Ecological Engineering, 24(11), pp.274–286.
- IKINCIOGULLARI, E.: Stepped spillway design for energy dissipation. 2023.Water Supply, 23(2), pp.749–763.
- JAHAD, U.- CHABUK, A.- ALABAS, M.- MAHMOUD, A.- AL-ANSARI, N. - LAUE, J.: CFD analysis of the effects of compound downstream slope on flow over the spillway. 2023. Journal of Ecological Engineering, 24(11), pp.274–286.
- MUHSUN, S.- AL-SHARIFY, Z.: CFD simulated model and experimental tests for critical depth and flowrate estimation over a broad-crested weir under the longitudinal slope effect. 2021.International Journal of Environment and Waste Management, 28(1), pp.41–60.
- TAVAKOL-SADRABADI, M.- FATHI-MOGHADDAM, M.- MOHAMMADPOUR, R.: Numerical simulation of the over and through flow discharge in broad-crested gabion weirs with side slopes. 2018. Amirkabir Journal of Civil Engineering, 50(4), pp.619–630.
- SOYDAN OKSAL, N.- AKOZ, M.- SIMSEK, O.: Numerical modelling of trapezoidal weir flow with RANS, LES and DES models.2020 Sādhanā, 45(1), p.91.
- DANESHFARAZ, R.- BAGHERZADEH, M.- GHADERI, A.- DI FRANCESCO, S. - ASL, M.: Experimental investigation of gabion inclined drops as a sustainable solution for hydraulic energy loss. 2021. Ain Shams Engineering Journal, 12(4), pp.3451-3459.
- CHANSON, H. - GUALTIERI, C.: Similitude and scale effects of air entrainment in hydraulic jumps. 2008. Journal of Hydraulic Research, 46(1), pp.35-44.
- SALMASI, F. - SAMADI, A.: Experimental and numerical simulation of flow over stepped spillways. 2018. Applied Water Science, 8(8), p.229.
- SAADATNEJADGHARAHASSANLOU, H.- ZEYNALI, R.- GHAREHBAGHI, A.- MEHDIZADEH, S.- VAHEDDOOST, B.: Three dimensional flow simulation over a sharp-crested V-Notch weir. 2020. Flow Measurement and Instrumentation, 71, p.101684.
- BOUDJELAL, S.- FOURAR, A. - MASSOUH, F.: Experimental and numerical simulation of free surface flow over an obstacle on a sloped channel. 2022. Modeling Earth Systems and Environment, 8(1), pp.1025-1033.
- IMANIAN, H.- MOHAMMADIAN, A. - HOSHYAR, P.: Experimental and numerical study of flow over a broad-crested weir under different hydraulic head ratios. 2021. Flow Measurement and Instrumentation, 80, p.102004.
- JAHAD, U.- CHABUK, A.- AL-AMERI, R.- MAJDI, H.- MAJDI, A.- AL-ANSARI, N.- ABED, S.: Flow characteristics and energy dissipation over stepped spillway with various step geometries: case study (steps with curve end sill). 2024. Applied Water Science, 14(3), p.60.
- HIRT, C.- NICHOLS, B.: Volume of fluid (VOF) method for the dynamics of free boundaries. (1981). Journal of computational physics, 39(1), 201-225.
- TENNEKES, H.- LUMLEY, J.: A first course in turbulence. 1972. MIT Press.
- WILCOX, D.: Turbulence modeling for CFD. 1998. DCW Industries, La Canada.
- LAUNDER, B.- SPALDING, D.: The numerical computation of turbulent flows. In: Numerical Prediction of Flow, Heat Transfer, Turbulence and Combustion. 1983. Pergamon, pp.96–116.
- YAKHOT, V. - ORSZAG, S.: Renormalization group analysis of turbulence. I. Basic theory. 1986. Journal of Scientific Computing, 1(1), pp.3–51.
- AL SHAIKHLI, H. - MOHAMMED, S. - AL-KHAFAJI, Z.: Using Flow 3D Simulation, Multiple Nonlinear Regression Approach, and Artificial Neural Network Approach Approaches to Study the Behavior of Vertical Drop Structures. Civil and Environmental Engineering, 20.2, 2024, pp. 654-683.
- DAKHEEL, A. - ISMAEEL, A. - MAKKI, J.: Numerical modelling of local scour depth at nonuniform piers. 2024. Civil and Environmental Engineering, 20.2, 2024, pp. 699-710.
- ALABAS, A. -ALMAJEED, M.-.: Investigation of Flow Characteristics and Energy Dissipation in Gabion Stepped Weirs 2020 (Doctoral dissertation, Deakin University).
- BOMBARDELLI, F.- MEIRELES, I.- MATOS, J.: Laboratory measurements and multi-block numerical simulations of the mean flow and turbulence in the non-aerated skimming flow region of steep stepped spillways. 2011. Environmental fluid mechanics, 11(3), pp.263-288.
- POPE, S.: Turbulent flows. 2001. Measurement Science and Technology, 12(11), 2020-2021.
- JALIL, S.- QASIM, J.- JALIL, S.: Numerical modelling of flow over single-step broad-crested weir using FLOW-3D and HEC-RAS. 2016. Polytechnic General Sciences Journal, Erbil Polytechnic University, 6, pp.435–448.
- CHANSON, H.: Hydraulics of open channel flow. 2004. Elsevier.
- FATHI-MOGHADDAM, M.- SADRABADI, M.- RAHMANSHAHI, M.: Numerical simulation of the hydraulic performance of triangular and trapezoidal gabion weirs in free flow condition. 2018. Flow Measurement and Instrumentation, 62, pp.93–104.