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Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm
Pure and Applied Geophysics ( IF 2 ) Pub Date : 2020-02-05 , DOI: 10.1007/s00024-020-02416-0
Sergii Kivva , Mark Zheleznyak , Oleksandr Pylypenko , Vasyl Yoschenko

Our goal was to develop a robust algorithm for numerical simulation of one-dimensional shallow-water flow in a complex multiply-connected channel network with arbitrary geometry and variable topography. We apply a central-upwind scheme with a novel reconstruction of the open water surface in partially flooded cells that does not require additional correction. The proposed reconstruction and an exact integration of source terms for momentum conservation equation provide positivity preserving and well-balanced features of the scheme for various wet-dry states. We use two models based on continuity equation and mass and momentum conservation equations integrated for a control volume around the channel junction to its treatment. These junction models permit to simulate a subcritical and supercritical flow in a channel network. Numerous numerical experiments demonstrate the robustness of the proposed numerical algorithm and a good agreement of numerical results with exact solutions, experimental data, and results of the previous numerical studies. The proposed new specialized test on inundation and drying of initially dry channel network shows the merits of the new numerical algorithm to simulate the subcritical/supercritical open water flows in the network.

中文翻译:

湿/干多重连通渠道网络中的开放水流:一种稳健的数值建模算法

我们的目标是开发一种强大的算法,用于在具有任意几何形状和可变地形的复杂多通道网络中对一维浅水流进行数值模拟。我们应用了一种中央迎风方案,在不需要额外校正的部分淹没单元中对开放水面进行了新的重建。拟议的重建和动量守恒方程源项的精确整合为各种干湿状态的方案提供了积极性保持和良好平衡的特征。我们使用两个基于连续性方程和质量和动量守恒方程的模型,用于通道连接处周围的控制体积进行处理。这些连接模型允许模拟通道网络中的亚临界和超临界流。大量数值实验证明了所提出的数值算法的鲁棒性,并且数值结果与精确解、实验数据和先前数值研究的结果具有良好的一致性。拟议的对初始干渠网络淹没和干燥的新专业测试显示了新数值算法在模拟网络中亚临界/超临界开放水流方面的优点。
更新日期:2020-02-05
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