| HYDRAULIC ENGINEERING |
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Reverse flow routing in rivers on the rotated x-t plane |
| WANG Jiabiao1, ZHAO Jianshi1, LEI Xiaohui2, WANG Hao1,2, LIAO Weihong2 |
1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;
2. China Institute of Water Resources and Hydropower Research, Beijing 100038, China |
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Abstract Reverse flow routing is widely used in hydraulic engineering calculations. However, numerical attenuation along the flow direction results in continuously amplified errors when directly solving the hydrodynamic equations in reverse which can lead to unstable calculations. This study contrarotates the x-t plane by 90° from the forward flow position and then derives the reverse flow routing model. On the rotated x-t plane, the initial and boundary conditions for the forward routing model are transformed to the boundary and initial conditions for the reverse model, which avoids the instabilities and non-convergence caused by reverse iterations in time and space. After validation, the reverse model is applied to a real-world case in the Xijiang River. The results show that this model is accurate and stable and can effectively reconstruct the historical inflow hydrographs for various flow cases. This research can improve hydraulic engineering studies using reverse flow routing.
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| Keywords
inverse problem
stability
implicit scheme
flow routing
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Issue Date: 09 July 2020
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2020,
Vol. 60
