Upscaling the shallow water equations for fast flood modelling

Upscaling the shallow water equations for fast flood modelling
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升级浅水方程以进行快速洪水建模

DOI:
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发表时间:
2020
影响因子:
2.3
通讯作者:
Gustavo A. M. de Almeida
Gustavo A. M. de Almeida
中科院分区:
工程技术3区
文献类型:
--
作者:
Alireza Shamkhalchian;Gustavo A. M. de Almeida

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提出了一种新的亚网格洪水淹没模型,该模型具有较高的计算性能。该模型采用两个嵌套网格的godunov型有限体积法求解二维浅水方程(SWE)。运行时计算在粗计算网格上进行,而精细网格用于在预处理级别将精细分辨率信息合并到解决方案中。基于粗分辨率网格单元所定义的子域上的控制方程的积分,分别推导了SWE中每一项的新的上尺度方法。通过人工和实际测试问题对模型的准确性和性能进行了测试。结果表明:(1)在相同的计算(粗网格)分辨率下,包含子网格信息比单网格FV模型提供更准确的结果;(2)在相同的精度和低分辨率下,所提出的方法提高了计算性能。
This paper presents a new sub-grid flood inundation model aimed at high computational performance. The model solves the two-dimensional shallow water equations (SWE) by a Godunov-type finite volume (FV) method that uses two nested meshes. Runtime computations are performed at a coarse computational mesh, while a fine mesh is used to incorporate fine resolution information into the solution at pre-processing level. New upscaling methods are separately derived for each of the terms in the SWE based on the integration of the governing equations over subdomains defined by the coarse resolution grid cells. The accuracy and performance of the model are tested through artificial and real-world test problems. Results showed that (i) for the same computational (coarse mesh) resolution, the inclusion of sub-grid information delivers more accurate results than a single-mesh FV model and (ii) for the same accuracy and at low resolution, the proposed methods improve computational performance.
DOI: 10.1061/(asce)hy.1943-7900.0000219
发表时间: 2010-09
影响因子: 2.4
作者:
Q. Liang
通讯作者: Q. Liang