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Article

Addressing Spatial Heterogeneity in the Discrete Generalized Nash Model for Flood Routing

School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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Academic Editor: Maria Mimikou
Water 2021, 13(21), 3133; https://doi.org/10.3390/w13213133
Received: 24 September 2021 / Revised: 4 November 2021 / Accepted: 5 November 2021 / Published: 7 November 2021
(This article belongs to the Section Hydrology)
River flood routing is one of the key components of hydrologic modeling and the topographic heterogeneity of rivers has great effects on it. It is beneficial to take into consideration such spatial heterogeneity, especially for hydrologic routing models. The discrete generalized Nash model (DGNM) based on the Nash cascade model has the potential to address spatial heterogeneity by replacing the equal linear reservoirs into unequal ones. However, it seems impossible to obtain the solution of this complex high order differential equation directly. Alternatively, the strict mathematical derivation is combined with the deeper conceptual interpretation of the DGNM to obtain the heterogeneous DGNM (HDGNM). In this work, the HDGNM is explicitly expressed as a linear combination of the inflows and outflows, whose weight coefficients are calculated by the heterogeneous S curve. Parameters in HDGNM can be obtained in two different ways: optimization by intelligent algorithm or estimation based on physical characteristics, thus available to perform well in both gauged and ungauged basins. The HDGNM expands the application scope, and becomes more applicable, especially in river reaches where the river slopes and cross-sections change greatly. Moreover, most traditional routing models are lumped, whereas the HDGNM can be developed to be semidistributed. The middle Hanjiang River in China is selected as a case study to test the model performance. The results show that the HDGNM outperforms the DGNM in terms of model efficiency and smaller relative errors and can be used also for ungauged basins. View Full-Text
Keywords: river flood routing; semidistributed model; spatial heterogeneity; ungauged basins river flood routing; semidistributed model; spatial heterogeneity; ungauged basins
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MDPI and ACS Style

Yan, B.-W.; Zou, Y.-X.; Liu, Y.; Mu, R.; Wang, H.; Tang, Y.-W. Addressing Spatial Heterogeneity in the Discrete Generalized Nash Model for Flood Routing. Water 2021, 13, 3133. https://doi.org/10.3390/w13213133

AMA Style

Yan B-W, Zou Y-X, Liu Y, Mu R, Wang H, Tang Y-W. Addressing Spatial Heterogeneity in the Discrete Generalized Nash Model for Flood Routing. Water. 2021; 13(21):3133. https://doi.org/10.3390/w13213133

Chicago/Turabian Style

Yan, Bao-Wei, Yi-Xuan Zou, Yu Liu, Ran Mu, Hao Wang, and Yi-Wei Tang. 2021. "Addressing Spatial Heterogeneity in the Discrete Generalized Nash Model for Flood Routing" Water 13, no. 21: 3133. https://doi.org/10.3390/w13213133

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