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Water 2017, 9(3), 91; doi:10.3390/w9030091

Applications of Coupled Explicit–Implicit Solution of SWEs for Unsteady Flow in Yangtze River

State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China
Changjiang Chongqing Harbour and Waterway Engineering Investigation and Design Institute, Chongqing 401147, China
Department of Civil and Structural Engineering, University of Sheffield, Sheffield S1 3JD, UK
Author to whom correspondence should be addressed.
Academic Editor: Gordon Huang
Received: 26 December 2016 / Revised: 15 February 2017 / Accepted: 20 February 2017 / Published: 23 February 2017
(This article belongs to the Special Issue Modeling of Water Systems)
View Full-Text   |   Download PDF [8272 KB, uploaded 23 February 2017]   |  


In engineering practice, the unsteady flows generated from the operation of hydropower station in the upstream region could significantly change the navigation system of waterways located in the middle-lower reaches of the river. In order to study the complex propagation, convergence and superposition characteristics of unsteady flows in a long channel with flow confluence, a numerical model based on the coupling of implicit and explicit solution algorithms of Shallow Water Equations (SWEs) has been applied to two large rivers in the reach of Yangtze River, China, which covers the distance from Yibin to Chongqing located upstream side of the Three Gorges Dam. The accuracy of numerical model has been validated by both the steady and unsteady flows using the prototype hydrological data. It is found that the unsteady flows show much more complex water level and discharge behaviors than the steady ones. The studied unsteady flows arising from the water regulation of two upstream hydropower stations could influence the region as far as Zhutuo hydrologic station, which is close to the city of Chongqing. Meanwhile, the computed stage–discharge rating curves at all observation stations demonstrate multi-value loop patterns because of the presence of additional water surface gradient. The present numerical model proves to be robust for simulating complex flows in very long engineering rivers up to 400 km. View Full-Text
Keywords: unsteady flow; coupled explicit–implicit solution; Yangtze River; flow regulation; stage–discharge rating curve unsteady flow; coupled explicit–implicit solution; Yangtze River; flow regulation; stage–discharge rating curve

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ding, Y.; Liu, Y.; Liu, X.; Chen, R.; Shao, S. Applications of Coupled Explicit–Implicit Solution of SWEs for Unsteady Flow in Yangtze River. Water 2017, 9, 91.

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