Open channel junctions are encountered in urban water treatment plants, irrigation
and drainage canals, and natural river systems. Junctions are very
important in municipal sewerage systems and river engineering. Adequate
theoretical description of flow through an open channel junction is difficult
because numerous variables are to be considered. Equations of junction models
are based on mass and momentum or mass and energy conservation. The
objective of this study is to compare two junction models for subcritical flows.
In channel branches, we solve numerically the Saint-Venant hyperbolic system
by combining Preissmann scheme and double sweep method. We validate
our results with HEC-RAS using Nash and Sutcliffe efficiency. In junction
models, equality of water stage and complete energy conservation equation
from HEC-RAS are compared. Outcome of the research clearly indicates that
the complete conservation energy model is more suitable in flow through
junction than equality of water stage model in serious situations.
References
[1]
Wu, R. and Mao, Z.Y. (2003) Numerical Simulation of Open Channel Flow in 90-Degree Combining Junction. Tsighua Science and Technology, 8, 713-718.
[2]
Pfister, M., Gokkok, T. and Gisonni, C. (2013) Les jonctions avec les écoulements torrentiels. Séminaire VSA/EPFL Hydraulique des canalisations, Lausanne.
[3]
Baghlani, A. and Talebbeydokhti, N. (2013) Hydrodynamics of Right-Angled Channel Confluences by a 2D Numerical Model. IJST, Transactions of Civil Engineering, 37, 271-283.
[4]
Shabayek, S., Stiffler, P. and Hicks, F. (2002) Dynamic Model for Subcritical Combining Flows in Channel Junctions. Journal of Hydraulic Engineering, 128, 821-828. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:9(821)
[5]
Hsu, C.C., Lee, W.J. and Chang, C.H. (1998) Subcritical Open Channel Junction Flow. Journal of Hydraulic Engineering, 124, 847-855. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:8(847)
[6]
Bowers, C.E. (1950) Hydraulic Model Studies for Whiting Field Naval Air Station. Part V. Studies of Open-Channel Junctions. Saint Anthony Falls Hydraulic Laboratory Project Report No. 24.
[7]
Vasquez, J., Ghenaim, A., Ghostine, R., Kesserwani, G. and Mose, R. (2007) Simulation of Subcritical Flow at a Combining Junction. NOVATECH, 497-504.
[8]
Sivakumar, M., Dissanayake, K. and Godbole, A. (2004) Numerical Modeling of Flow at an Open-Channel Confluence. In: Mowlei, M., Rose, A. and Lamborn, J., Eds., Environmental Sustainability through Multidisciplinary Integration, Environmental Engineering Research Event, Australia, 97-106.
[9]
Brito, M., Canelas, O.B., Leal, J.L. and Cardoso, A.H. (2014) 3D Numerical Simulation of Flow at a 70° Open-Channel Confluence. V Conferência Nacional de Mecanica dos Fluidos, Termodinamica e Energia MEFTE 2014, Porto, Portugal APMTAC, 11-12 Setembro 2014.
[10]
Longxi, H. (2008). Parameter Estimation in Channel Network Flow Simulation. Water Science and Engineering, 1, 10-17. https://doi.org/10.1016/S1674-2370(15)30014-4
[11]
Ewemoje, T.A. and Abimbola, O.P. (2014) Verification of Coefficient of Rectangular Side Weirs Using Shabayek Model. Research Journal of Applied Sciences, 9, 397-401.
[12]
Sharkey, J.K. (2014) Investigating Instabilities with HEC-RAS. Unsteady Flow Modeling for Regulated Rivers at Low Flow Stages. Master Thesis, University of Tennessee, Knoxville.
[13]
Chandresh, G.P. and Gundaliya, P.J. (2016) Floodplain Delineation Using HECRAS Model—A Case Study of Surat City. Open Journal of Modern Hydrology, 6, 34-42. https://doi.org/10.4236/ojmh.2016.61004
[14]
Direction Departementale de L’equipement et de L’agriculture (DDE 42) (2010) Etude hydraulique de la rivière le gier et de ses affluents. Rapport d’étude hydraulique. Sogreah JCC/JMI 1741145 R2 MAI.
[15]
Smival (2011) Etude hydraulique de la Lèze: Simulation des crues synthétiques.
[16]
Fread, D.L. and Jin, M. (1997) Dynamic Flood Routing with Explicit and Implicit Numerical Solution Schemes. Journal of Hydraulic Engineering, 123, 166-173. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:3(166)
[17]
Litrico, X., Pomet, J.B. and Guinot, V. (2010) Simplified Nonlinear Modeling of River Flow Routing. Advances in Water Resources, 33, 1015-1023.
[18]
Cunge, J.A. and Liggett, J.A. (1975) Unsteady Flow in Open Channels. Water Resources Publications. In: Mahmood, K. and Yevjevich, V., Eds., Chapter 4, Numerical Methods of Unsteady Flow Equations, Colorado, 89-182.
[19]
Meselhe, E.A. and Holly, F.M. (1997) Invalidity of Preissmann Scheme for Transcritical Flow. Journal of Hydraulic Engineering, 123. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:7(652)
[20]
Preissmann, A. (1961) Propagation des intumescences dans les canaux et rivières. First Congress of the French Association for Computation, Grenoble, 433-442.
[21]
US Army Corp of Engineers Institute for Water Resources (2010) HEC-RAS River Analysis System Hydraulic Reference Manual Version 4.1. Davis.