An improved dynamic bidirectional coupled hydrologic–hydrodynamic model for efficient flood inundation prediction

Yanxia Shen, Zhenduo Zhu, Qi Zhou, Chunbo Jiang
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Abstract

Abstract. To improve computational efficiency while maintaining numerical accuracy, coupled hydrologic–hydrodynamic models based on non-uniform grids are used for flood inundation prediction. In these models, a hydrodynamic model using a fine grid can be applied to flood-prone areas, and a hydrologic model using a coarse grid can be used for the remaining areas. However, it is challenging to deal with the separation and interface between the two types of areas because the boundaries of the flood-prone areas are time dependent. We present an improved Multigrid Dynamical Bidirectional Coupled hydrologic–hydrodynamic Model (IM-DBCM) with two major improvements: (1) automated non-uniform mesh generation based on the D-infinity algorithm was implemented to identify the flood-prone areas where high-resolution inundation conditions are needed and (2) ghost cells and bilinear interpolation were implemented to improve numerical accuracy in interpolating variables between the coarse and fine grids. A hydrologic model, the 2D nonlinear reservoir model, was bidirectionally coupled with a 2D hydrodynamic model that solves the shallow-water equations. Three cases were considered to demonstrate the effectiveness of the improvements. In all cases, the mesh generation algorithm was shown to efficiently and successfully generate high-resolution grids in those flood-prone areas. Compared to the original M-DBCM (OM-DBCM), the new model had lower root-mean square errors (RMSEs) and higher Nash–Sutcliffe efficiencies (NSEs), indicating that the proposed mesh generation and interpolation were reliable and stable. It can be adequately adapted to the real-life flood evolution process in watersheds and provide practical and reliable solutions for rapid flood prediction.
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用于高效洪水淹没预测的改进型动态双向水文-水动力耦合模型
摘要。为了提高计算效率,同时保持数值精度,基于非均匀网格的水文-水动力耦合模型被用于洪水淹没预测。在这些模型中,使用细网格的水动力模型可用于洪水易发区域,而使用粗网格的水文模型可用于其余区域。然而,由于洪水易发区的边界与时间有关,因此处理这两类区域的分离和衔接具有挑战性。我们提出了一种改进的多网格动态双向耦合水文-水动力模型(IM-DBCM),该模型有两大改进:(1) 基于 D-infinity 算法自动生成非均匀网格,以确定需要高分辨率淹没条件的洪水易发区;(2) 采用鬼单元和双线性插值,以提高粗细网格间变量插值的数值精度。水文模型(二维非线性水库模型)与求解浅水方程的二维水动力模型双向耦合。为证明改进的有效性,考虑了三种情况。在所有情况下,网格生成算法都能在洪水易发地区高效、成功地生成高分辨率网格。与原始的 M-DBCM(OM-DBCM)相比,新模型具有更低的均方根误差(RMSE)和更高的纳什-苏特克利夫效率(NSE),表明所建议的网格生成和插值是可靠和稳定的。它能充分适应现实流域的洪水演变过程,为快速洪水预报提供实用可靠的解决方案。
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