One-Dimensional Hydrodynamic Modeling of the Euphrates River and Prediction of Hydraulic Parameters

Nassrin Jassim Hussien Al-Mansori, Laith Shaker Ashoor Al-Zubaidi


Forecasting techniques are essential in the planning, design, and management of water resource systems. The numerical model introduced in this study turns governing differential equations into systems of linear or non-linear equations in the flow field, thereby revealing solutions. This one-dimensional hydrodynamic model represents the varied unsteady flow found in natural channels based on the Saint-Venant Equations. The model consists of the equations for the conservation of mass and momentum, which are recognized as very powerful mathematical tools for studying an important class of water resource problems. These problems are characterized by time dependence of flow and cover a wide range of phenomena. The formulations, held up by the four-point implicit finite difference scheme, solve the nonlinear system of equations using the Newton-Raphson iteration method with a modified Gaussian elimination technique. The model is calibrated using data on the Euphrates River during the early spring flood in 2015. It is verified by its application to an ideal canal and to the reach selected at the Euphrates River; this application is also used to predict the effect of hydraulic parameters on the river’s flow characteristics. A comparison between model results and field data indicates the feasibility of our technique and the accuracy of results (R2 = 0.997), meaning that the model is ready for future application whenever field observations are available.



Hydrodynamics; River; Surface Water; Numerical Model; Finite Element; Flow.


Jacob, Xavier K., Deepak Singh Bisht, Chandranath Chatterjee, and Narendra Singh Raghuwanshi. “Hydrodynamic Modeling for Flood Hazard Assessment in a Data Scarce Region: a Case Study of Bharathapuzha River Basin.” Environmental Modeling & Assessment 25, no. 1 (April 12, 2019): 97–114. doi:10.1007/s10666-019-09664-y.

Buček, Daniel, Martin Orfánus, and Peter Dušička. “Assessment of River Bed Evolution with the Aid of 2D Hydrodynamic Model with Integrated Sediment Transport Modeling Capabilities.” Pollack Periodica 14, no. 1 (April 2019): 129–138. doi:10.1556/606.2019.14.1.13.

Glubt, Sarah Van, Scott Wells, and Chris Berger. “Hydrodynamic and Water Quality Modeling of the Chehalis River in Washington.” World Environmental and Water Resources Congress 2017 (May 18, 2017). doi:10.1061/9780784480601.019.

Sitek, M. A., S. A. Lottes, and C. Bojanowski. “Computational Assessment of Hydrodynamic Loads on Rockeries for River Bank Protection” (May 1, 2019). doi:10.2172/1523372.

Brown, Gary, Jennifer McAlpin, Kimberley Pevey, Phu Luong, Cherie Price, and Barbara Kleiss. “Mississippi River Hydrodynamic and Delta Management Study : Delta Management Modeling : AdH/SEDLIB Multi-Dimensional Model Validation and Scenario Analysis Report” (March 29, 2019). doi:10.21079/11681/32446.

Chen, Wei-Bo, and Wen-Cheng Liu. “Modeling the Influence of River Cross-Section Data on a River Stage Using a Two-Dimensional/Three-Dimensional Hydrodynamic Model.” Water 9, no. 3 (March 10, 2017): 203. doi:10.3390/w9030203.

Pramanik, Niranjan, Rabindra Kumar Panda, and Dhrubajyoti Sen. “One Dimensional Hydrodynamic Modeling of River Flow Using DEM Extracted River Cross-Sections.” Water Resources Management 24, no. 5 (July 14, 2009): 835–852. doi:10.1007/s11269-009-9474-6.

Shailesh Kumar Singh, "Analysis of uncertainties in digital elevation models in flood (hydraulic) modeling". Masters Thesis, International Institute of Remote Sensing, Dehradun, India. (2005). Online available: sites/default/files/StudentThesis/shailesh_thesis2004_0.pdf (accessed on: 25 March 2020).

Vijay, Ritesh, Aabha Sargoankar, and Apurba Gupta. “Hydrodynamic Simulation of River Yamuna for Riverbed Assessment: A Case Study of Delhi Region.” Environmental Monitoring and Assessment 130, no. 1–3 (November 28, 2006): 381–387. doi:10.1007/s10661-006-9405-4.

Wang, Jia-Song, Han-Gen Ni, and You-Sheng He. "Finite-difference TVD scheme for computation of dam-break problems." Journal of Hydraulic Engineering 126, no. 4 (2000): 253-262. doi:10.1061/(asce)0733-9429(2000)126:4(253)

Gottardi, G., and M. Venutelli. “Central Scheme for Two-Dimensional Dam-Break Flow Simulation.” Advances in Water Resources 27, no. 3 (March 2004): 259–268. doi:10.1016/j.advwatres.2003.12.006.

Meng, Jian, Zhi-xian Cao, and Paul A. Carling. “Pointwise and Upwind Discretizations of Source Terms in Open-Channel Flood Routing.” Journal of Hydrodynamics 18, no. 4 (August 2006): 379–386. doi:10.1016/s1001-6058(06)60108-x.

Dutta, Dushmanta, Srikantha Herath, and Katumi Musiake. "Flood inundation simulation in a river basin using a physically based distributed hydrologic model." Hydrological Processes 14, no. 3 (2000): 497-519. doi:10.1002/(SICI)10991085(20000 228)14:3<497::AID-HYP951>3.0.CO;2-U.

Renyi, Liu, and Liu Nan. “Flood Area and Damage Estimation in Zhejiang, China.” Journal of Environmental Management 66, no. 1 (September 2002): 1–8. doi:10.1006/jema.2002.0544.

Merwade, Venkatesh, Aaron Cook, and Julie Coonrod. “GIS Techniques for Creating River Terrain Models for Hydrodynamic Modeling and Flood Inundation Mapping.” Environmental Modelling & Software 23, no. 10–11 (October 2008): 1300–1311. doi:10.1016/j.envsoft.2008.03.005.

Zhu, Fangfang, Wenrui Huang, Yi Cai, Fei Teng, Beibei Wang, and Qi Zhou. “Development of a River Hydrodynamic Model for Studying Surface-Ground Water Interactions Affected by Climate Change in Heihe River, China.” Journal of Coastal Research 68 (November 2014): 129–135. doi:10.2112/si68-017.1.

Langevin, Christian, Eric Swain, and Melinda Wolfert. “Simulation of Integrated Surface-Water/ground-Water Flow and Salinity for a Coastal Wetland and Adjacent Estuary.” Journal of Hydrology 314, no. 1–4 (November 2005): 212–234. doi:10.1016/j.jhydrol.2005.04.015.

Akiyama, Tomohiro, Akiko Sakai, Yusuke Yamazaki, Genxu Wang, Koji Fujita, Masayoshi Nakawo, Jumpei Kubota, and Yuki Konagaya. "Surfacewater-groundwater interaction in the Heihe River basin, Northwestern China." Bulletin of Glaciological Research 24 (2007): 87‏.

Candela, Lucila, Wolf von Igel, F. Javier Elorza, and Giuseppe Aronica. “Impact Assessment of Combined Climate and Management Scenarios on Groundwater Resources and Associated Wetland (Majorca, Spain).” Journal of Hydrology 376, no. 3–4 (October 2009): 510–527. doi:10.1016/j.jhydrol.2009.07.057.

Scibek, Jacek, Diana M. Allen, Alex J. Cannon, and Paul H. Whitfield. “Groundwater–surface Water Interaction under Scenarios of Climate Change Using a High-Resolution Transient Groundwater Model.” Journal of Hydrology 333, no. 2–4 (February 2007): 165–181. doi:10.1016/j.jhydrol.2006.08.005.

Kafle, Mukesh Raj, and Narendra Man Shakya. “Two-Dimensional Hydrodynamic Modelling of Koshi River and Prediction of Inundation Parameters.” Hydrology: Current Research 09, no. 02 (2018). doi:10.4172/2157-7587.1000298.

Neal, Jeffrey, Ignacio Villanueva, Nigel Wright, Thomas Willis, Timothy Fewtrell, and Paul Bates. “How Much Physical Complexity Is Needed to Model Flood Inundation?” Hydrological Processes 26, no. 15 (November 18, 2011): 2264–2282. doi:10.1002/hyp.8339.

De Almeida, Gustavo A. M., and Paul Bates. “Applicability of the Local Inertial Approximation of the Shallow Water Equations to Flood Modeling.” Water Resources Research 49, no. 8 (August 2013): 4833–4844. doi:10.1002/wrcr.20366.

Álvarez, Manuel, Jerónimo Puertas, Enrique Peña, and María Bermúdez. "Two-dimensional dam-break flood analysis in data-scarce regions: The case study of Chipembe dam, Mozambique." Water 9, no. 6 (2017): 432. 432.

Bermúdez, María, Jeffrey C. Neal, Paul D. Bates, Gemma Coxon, Jim E. Freer, Luis Cea, and Jeronimo Puertas. “Quantifying Local Rainfall Dynamics and Uncertain Boundary Conditions into a Nested Regional-Local Flood Modeling System.” Water Resources Research 53, no. 4 (April 2017): 2770–2785. doi:10.1002/2016wr019903.

Chow, V. T. "Open channel hydraulics. MacGraw-Hill Book Co." Inc., New York, NY (1959): 206.

Fread, D.L. "Channel Routing" Hydrologic Research Lab, National Weather Service, Silver Spring, Maryland, (1982).

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DOI: 10.28991/cej-2020-03091530


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