A Well-Balanced and Fully Coupled Noncapacity Model for Dam-Break Flooding

A Well-Balanced and Fully Coupled Noncapacity Model for Dam-Break Flooding
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溃坝洪水的均衡且完全耦合的非容量模型

DOI:
10.1155/2015/613853
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发表时间:
2015-04
影响因子:
--
通讯作者:
Zhang Yanyan
Zhang Yanyan
中科院分区:
工程技术4区
文献类型:
--
作者:
Yue Zhiyuan;Liu Huaihan;Li Youwei;Hu Peng;Zhang Yanyan

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近20年来,河流演变和洪水的数学模拟无论是在物理过程的近似还是在处理数值困难方面都取得了很大的进展。然而,很少注意到同时采取这两方面的进步。本文提出了一个平衡的、完全耦合的溃坝洪水的非容量模型。控制方程是基于完整的质量和动量守恒定律,这意味着溃坝水流和泥沙输移之间的完全耦合的相互作用。一个平衡的Godunov型有限体积法被用来解决控制方程,促进满意的表示复杂的流动现象。对于底坡源项,采用与静力有关的矩阵的发散形式,使其具有良好的平衡性。现有的经典试验,包括理想的溃坝洪水在不规则的地形和实验溃坝洪水有/无输沙,数值模拟,显示了令人满意的定量性能,该模型。
The last two decades have seen great progress in mathematical modeling of fluvial processes and flooding in terms of either approximation of the physical processes or dealing with the numerical difficulties. Yet attention to simultaneously taking advancements of both aspects is rarely paid. Here a well-balanced and fully coupled noncapacity model is presented of dam-break flooding over erodible beds. The governing equations are based on the complete mass and momentum conservation laws, implying fully coupled interactions between the dam-break flow and sediment transport. A well-balanced Godunov-type finite volume method is used to solve the governing equations, facilitating satisfactory representation of the complex flow phenomena. The well-balanced property is attained by using the divergence form of matrix related to the static force for the bottom slope source term. Existing classical tests, including idealized dam-break flooding over irregular topography and experimental dam-break flooding with/without sediment transport, are numerically simulated, showing a satisfactory quantitative performance of this model.
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