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

机译：溃坝洪水的平衡良好的全耦合非能力模型

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摘要

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.
机译：在过去的二十年中，无论是近似物理过程还是解决数值难题，在河流过程和洪水数学建模方面都取得了长足的进步。然而，很少关注同时取得这两个方面的进步。这里提出了一个平衡良好且完全耦合的非能力模型，即易侵蚀河床的溃坝洪水。控制方程基于完整的质量和动量守恒定律，暗示了溃坝水流和泥沙输送之间的完全耦合相互作用。平衡良好的Godunov型有限体积方法用于求解控制方程，有助于令人满意地表示复杂的流动现象。通过使用与底部坡度源项的静力相关的矩阵的发散形式来获得良好的平衡特性。现有的经典试验，包括不规则地形上的理想溃坝洪水和有/无沉积物迁移的试验溃坝洪水，都得到了数值模拟，显示了该模型令人满意的定量性能。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第7期|613853.1-613853.13|共13页
  • 作者

    Yue Zhiyuan; Liu Huaihan; Li Youwei; Hu Peng; Zhang Yanyan;

  • 作者单位

    Changjiang Waterway Planning Design & Res Inst, Wuhan 430011, Peoples R China.;

    Changjiang Waterway Planning Design & Res Inst, Wuhan 430011, Peoples R China.;

    Changjiang Waterway Planning Design & Res Inst, Wuhan 430011, Peoples R China.;

    Second Inst Oceanog, State Key Lab Satellite Ocean Environm Dynam, Hangzhou 310012, Zhejiang, Peoples R China.;

    Changjiang River Adm Nav Affairs, Wuhan 430011, Peoples R China.;

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