波浪潮流共同作用下的流场数学模型
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摘要
波浪和潮流是海岸河口地区的主要动力因素,波流共同作用的现象经常出现。因此波流共同作用下的流场模拟研究具有十分重要的理论意义和实际意义。
     本文概述了潮流和波浪数学模型的发展、二、三维潮流和波浪数学模型的计算方法、应用范围以及常用的网格结构等。在二维潮流运动基本方程的基础上,导出波流共同作用的潮流运动基本方程式,进而建立了正交曲线坐标系下的平面二维波流共同作用下的流场数学模型;通过水槽试验验证了潮流数学模型的计算结果;应用波浪折射数学模型计算得到水槽波浪要素;利用波流共同作用数学模型计算了几组不同波要素下的流场;对有波浪和无波浪情况下的潮位和流速进行比较,得出不同波浪要素对潮位和流速的影响。
Waves and tidal currents are the major dynamic factors in the area of estuary and coast. The phenomenon of interactions between currents and waves appear frequently. Therefore, the study on the simulation of the interaction between tidal currents and waves is very important. In this paper, the development of tidal currents and waves modeling, calculating methods, the ranges of application, and the used grid have been summarized. On the basis of 2D tidal currents basic equation, the movement basic equation of the interactions between currents and waves is deduced. Then the numerical model of waves and tidal currents is established under the orthogonal curvilinear system. Tidal currents and waves modeling have been verified by the data of flume experiment. The wave heights have been calculated by wave refraction and diffraction model. The flow fields under different wave situations are calculated by the waves and tidal currents numerical model. The tidal level and velocities of flow are compared respectively w
    ith the results on the condition of wave and no wave. The effect of wave to the tidal level and velocities is given.
引文
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