A two-dimensional hydrodynamic urban flood model based on equivalent drainage of manholes

Mengshi Xiang, Shanghong Zhang, Chuansen Wu, Taihong Tang
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Abstract

Numerical simulations of urban flood events are of great significance in flood control and disaster reduction. An important part of these numerical investigations concerns drainage, which is crucial to the accuracy of the simulation results. To overcome the difficulty of obtaining underground pipe network data and improve the traditional equivalent drainage simulation method, an equivalent drainage model based on manholes is proposed, to simulate urban flooding based on a two-dimensional hydrodynamic model. The new model is applied to a classic case and the simulation results are compared with those from the MIKE URBAN model to verify the simulation accuracy of the proposed formulation. The submerged areas given by the two models are compared under different rainfall conditions, with an average relative error of 6%. The differences in water depths at various nodes are statistically analyzed, and the average Nash–Sutcliffe efficiency and average root mean square error are found to be 96% and 0.03 m, respectively. The results of this research provide effective urban flood simulation in areas lacking pipe network data and have important significance for promoting the practical application of refined numerical simulations of urban flooding.
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基于沙井等效排水的二维水动力城市洪水模型
城市洪水事件的数值模拟对防洪减灾具有重要意义。这些数值研究的一个重要部分涉及排水,这对模拟结果的准确性至关重要。为了克服获取地下管网数据的困难,改进传统的等效排水模拟方法,本文提出了一种基于沙井的等效排水模型,以二维水动力模型为基础模拟城市洪水。将新模型应用于经典案例,并将模拟结果与 MIKE URBAN 模型的结果进行比较,以验证所提公式的模拟精度。比较了两个模型在不同降雨条件下给出的淹没面积,平均相对误差为 6%。对不同节点的水深差异进行了统计分析,发现平均纳什-苏特克利夫效率和平均均方根误差分别为 96% 和 0.03 米。该研究成果为缺乏管网数据的地区提供了有效的城市洪水模拟,对促进城市洪水精细化数值模拟的实际应用具有重要意义。
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