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

机译：SWE显式-隐式耦合解法在长江非恒定流中的应用

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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.
机译：在工程实践中，上游地区水电站的运行产生的非恒定流会极大地改变河流中下游水道的导航系统。为了研究具有汇流作用的长通道非定常流动的复杂传播，收敛和叠加特征，将基于浅水方程（SWE）隐式和显式求解算法耦合的数值模型应用于两条大河流位于中国长江上游，覆盖了宜宾至重庆三峡大坝上游的距离。数值模型的准确性已通过使用原型水文数据的稳态和非稳态流量进行了验证。结果发现，非稳定流比稳定流具有更复杂的水位和排放行为。研究的两个上游水电站的水调节产生的非恒定流可能影响该地区，直到靠近重庆市的竹Zhu水文站。同时，由于存在额外的水面梯度，所有观测站的计算的水位流量曲线都显示出多值回路模式。事实证明，该数值模型对于在长达400 km的超长工程河中模拟复杂水流具有鲁棒性。

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