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Application of a Three-Dimensional Unstructured-Mesh Finite-Element Flooding Model and Comparison with Two-Dimensional Approaches

机译:三维非结构化网格有限元洪水模型的应用及与二维方法的比较

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摘要

Urban flood modelling plays a key role in assessment of flood risk in urban areas by providing detailed information of the flooding process (e.g. location, depth and velocity of flooding). Accurate modelling results are the basis of reliable flood risk evaluation. In this paper, modelling of a flood event in a densely urbanized area within the city of Glasgow is presented. Modelling is performed using a new three-dimensional (3D) flooding model, which is an unstructured mesh, finite element model that solves the Navier-Stokes equations, and developed based on Fluidity. The terrain data considered comes from a 2 Light Detection and Ranging (LiDAR) Digital Terrain Model (DTM) and aerial imagery. The model is validated with flood inundation area and flow features, and sensitivity analyses are conducted to identify the mesh resolution required for accuracy purposes and the effect of the uncertainty in the inflow discharge. Good agreement has been achieved when comparing the results with those published in other 2D shallow water models in ponded areas. However, larger vertical velocity (0.2 /) and larger differences between the 3D and 2D models can be observed in areas with greater topographic gradients (3 ). Finally, performance of the proposed 3D flooding model has been analysed. Through the modelling of a real flooding event this paper helps illustrate the case that 3D modelling techniques are promising to improve accuracy and obtain more detailed information related to urban flooding dynamics, which is useful in urban flood control planning and risk management. To the best of our knowledge, this is the first paper to apply a 3D unstructured mesh finite-element model (FEM model) to a real urban flooding event. It highlights some of the differences between the 3D and 2D urban flood modelling results.
机译:城市洪水模型通过提供洪水过程的详细信息(例如洪水的位置,深度和速度)在评估城市洪水风险中起着关键作用。准确的建模结果是可靠的洪水风险评估的基础。在本文中,对格拉斯哥城市密集地区的洪水事件进行了建模。使用新的三维(3D)洪水模型进行建模,这是一种非结构网格有限元模型,可以解决Navier-Stokes方程,并基于流动性进行开发。所考虑的地形数据来自2光检测和测距(LiDAR)数字地形模型(DTM)和航拍图像。该模型已通过洪水淹没面积和流量特征进行了验证,并进行了敏感性分析,以确定精度目的所需的网格分辨率以及流入流量不确定性的影响。将结果与池塘地区其他2D浅水模型中的结果进行比较时,已经达成了良好的共识。但是,在具有较大地形坡度(> 3)的区域中,可以观察到更大的垂直速度(> 0.2 /)以及3D模型和2D模型之间的更大差异。最后,对提出的3D洪水模型的性能进行了分析。通过对真实洪水事件的建模,本文有助于说明3D建模技术有望提高准确性并获得与城市洪水动态相关的更详细信息的情况,这对于城市防洪规划和风险管理非常有用。据我们所知,这是第一篇将3D非结构化网格有限元模型(FEM模型)应用于实际城市洪水事件的论文。它突出显示了3D和2D城市洪水建模结果之间的某些差异。

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