[1] Gentilini B. Stramazzi con cresta a pianta obliqua e a zig-zag. Memorie e Studi dell instituto di Idraulica e Construzioni Idrauliche Del Regil Politecnico di Milano, 48, in Italian. 1949.
[2] Taylor G. The performance of labyrinth weirs [Doctoral dissertation]. University of Nottingham; 1968.
[3] Darvas LA. Discussion of “Performance and design of labyrinth weirs”. Journal of the Hydraulics Division. 1971 Aug; 97(8):1246-51.
[4] Tullis JP, Amanian N, Waldron D. Design of labyrinth spillways. Journal of hydraulic engineering. 1995 Mar; 121(3):247-55.
[5] Ghodsian M. Stage–discharge relationship for a triangular labyrinth spillway. In: Proceedings of the Institution of Civil Engineers-Water Management. 2007; 162(3), 173-178.
[6] Crookston BM. Labyrinth weirs. [Ph.D. thesis]. Logan, UT: Utah State University; 2010.
[7] Crookston BM, Tullis BP. Hydraulic design and analysis of labyrinth weirs. I: Discharge relationships. Journal of Irrigation and Drainage Engineering. 2013 May 1; 139(5):363-70.
[8] Crookston BM, Tullis BP. Arced labyrinth weirs. Journal of Hydraulic Engineering. 2012 Jun 1; 138(6):555-62.
[9] Christensen NA, Tullis BP. Arced Labyrinth Weir Flow Characteristics. 4th International Junior Reasercher and Enginner Workshap on Hydraulic Structures. IJREWHS’ 12. B. Tullis and R. Janssen (Eds.), Logan, USA: Utah State University; 2012.
[10] Azarpeyvand H, Emadi A R and Sedghi Asl M. An Experimental Study of the Discharge of the Length Increase Effect on the Composite Trapezoidal Labyrinth Spillway. Journal of Water and Soil Science. 2019; 23 (1):405-418.
[11] Kabiri-Samani A, Javaheri A. Discharge coefficients for free and submerged flow over Piano Key weirs. Journal of hydraulic research. 2012 Feb 1; 50(1):114-20.
[12] Safarzadeh A, Noroozi B. Three dimensional hydrodynamics of arced piano key spillways. Journal of Hydraulics. 2014 Nov 22; 9(3):61-79. (In Persian)
[13] Abbaspour A, Arvanaghi H. Forecasting the flow on the triangular-rectangular compound overflow using planning. In: The 10th Iran Hydraulic Conference; 2011.
[14] Farrokhy A, Givachy A and Azhdary moghaddam M. Estimating Determining the Discharge Coefficient of lateral weirs with neural network and adaptive neural-inference system. 6th National Congress of Civil Engineering; 2009; Semnan, Iran. (In Persian)
[15] Majedi Asl M, Fuladipanah M. Application of the evolutionary methods in determining the discharge coefficient of triangular labyrinth weirs. JWSS-Isfahan University of Technology. 2019 Mar 10; 22(4):279-90.
[16] Haghiabi A, Parsaie A, Shamsi Z. Intelligent mathematical modeling of discharge coefficient of nonlinear weirs with triangular plan. AUT Journal of Civil Engineering. 2019 Dec 1; 3(2):149-56.
[17] Majedi Asl M, Valizadeh S. Application of SVM algorithm in predicting vertical pier scour depth. JWSS-Isfahan University of Technology. 2019 Dec 10; 23(4):165-81.
[18] Roushangar K, Majedi Asl M, Shahnazi S. Hydraulic performance of PK weirs based on experimental study and kernel-based modeling. Water Resources Management. 2021 Sep; 35:3571-92.
[19] Fuladipanah M, Majedi Asl M, Haghgooyi A. Application of intelligent algorithm to model head-discharge relationship for submerged labyrinth and linear weirs. Journal of Hydraulics. 2020 Jul 22; 15(2):149-64.
[20] Roushangar K, Alami MT, Shiri J, Majedi Asl M. Determining discharge coefficient of labyrinth and arced labyrinth weirs using support vector machine. Hydrology research. 2018 Jun 1; 49(3):924-38.
[21] Majedi Asl M, Fuladipanah M, Arun V, Tripathi RP. Using data mining methods to improve discharge coefficient prediction in Piano Key and Labyrinth weirs. Water Supply. 2022 Feb 1; 22(2):1964-82.
[22] Sohrabi F, Majedi Asl M, Omidpour Alavian T and Shamsi V. Investigation of the effect of the prediction angle of the discharge coefficient in arced Labyrinth Weirs using vector machine tool (SVM). In: the first national conference of modern exhibitions. Civil and environmental engineering; 2022; Ramsar, Iran.
[23] Sohrabi F, Majedi Asl M, Omidpour Alavian T and Shamsi V. Investigating the effect of angle in predicting the discharge coefficient in arced Labyrinth Weirs using the GEP gene expression programming algorithm.IN: the first national conference on modern approaches in civil engineering and environment; 2022; Ramsar, Iran.
[24] Omidpour Alavian T, Majedi Asl M, Soltani M, Mohammadi E, Shamsi V. Comparison of the hydraulic efficiency of Labyrinth Weirs with quarter-circle and semi-circular crown shape using met model method (ANN). In: 8th International Congress on Civil Engineering, Architecture and Urban Development; 2023 March 07-09; Tehran, Iran.
[25] Omidpour Alavian T, Majedi Asl M, Sohrabi F, Shamsi V and Ayami M. Modeling and evaluation of the discharge coefficient of an arced Labyrinth with the ANN met model method. In: the first modern national conference in civil and environmental engineering. 2022; Ramsar, Iran.
[26] Omidpour Alavian T, Majedi Asl M, Soltani M, Shamsi V. Comparison of the hydraulic efficiency of Labyrinth Weirs with quarter-circle and semi-circular crown shapes using met model methods (ANN). In: 8th International Congress on Civil Engineering, Architecture and Urban Development; 2023 March 07-09, Tehran, Iran.
[27] Majedi Asl M, Omidpour Alavian T, Kouhdaragh M, Shamsi V. Comparison of Hydraulic Efficiency of Arched Non-linear Weirs in Plan Using GEP and SVM Neural Networks. JWSS-Isfahan University of Technology. 2023 Dec 10; 27(3):179-99.
[29] Majedi Asl M, Omidpour Alavian T and Kouhdaragh M. Laboratory Investigation of the Effect of Wall Slope on the Discharge Coefficient of Trapezoidal Arced Labyrinth Weirs. Jwss 2023; 27 (4):281-297.
[30] Majedi Asl M, Ghaderi A, Kouhdaragh M, Omidpour Alavian T. A performance comparison of the Meta model methods for discharge coefficient prediction of labyrinth weirs. Flow Measurement and Instrumentation. 2024 Apr 1; 96:102563.
[31] Henderson FM. open channel flow. USA: New York; Macmillan; 1996
[32] Vapnik VN. The nature of statistical learning theory. USA: New York: Springer; 1995.