Two‐dimensional shallow flow equations for partially dry areas
Two‐dimensional shallow flow equations for partially dry areas
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DOI：
10.1029/2000wr900167
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发表时间：
2000-11
影响因子：
5.4
通讯作者：
A. Defina
中科院分区：
文献类型：
--
作者：
A. Defina
本文提出了一套新的二维浅流方程，用于处理部分湿域和非常不规则域。在许多实际情况下强烈影响动力学和连续性的底部不规则性在统计上得到了解释。假设流体静力近似，三维雷诺方程在一个代表性的基本区域上适当地平均，然后在深度上积分。通过解决两个样本问题，对所得的地面不规则子网格模型进行了验证。第一个是关于潮滩的湿润和干燥；第二种是处理不规则平面表面上的陆地流。数值模拟结果表明，所提出的方程对于处理部分干燥区域的建模者来说是一个有用的工具。
A new set of two‐dimensional shallow flow equations is developed in order to deal with partially wet and very irregular domains. The bottom irregularities, which in many practical cases strongly affect the dynamics and the continuity, are accounted for statistically. Assuming hydrostatic approximation, the three‐dimensional Reynolds equations are suitably averaged over a representative elementary area and then integrated over the depth. The resulting subgrid model for ground irregularities is tested by resolving two sample problems. The first concerns the wetting and drying of tidal flats; the second deals with overland flow on an irregular plane surface. Numerical simulations show that the proposed equations are a useful tool for modelers who have to cope with partially dry domains.