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为了解二维潮流方程(在水深上求平均),本文给出了一种一般化了的有限差分格式。应用这个方法模拟了长江口的潮流,计算结果与现场观测资料相当一致。 平面区域是由锐角三角形元素所组成。在节点上,一阶和二阶偏导数已被定义。在潮流基本方程中,水平涡动粘滞项也已考虑。 这个方法有一个很大的优点,能灵活地模拟图形,即边界更精确和在感兴趣的区域能被任意分割。而且,这个方法是经济的。
To understand the two-dimensional flow equations (averaged over the water depth), a generalized finite difference scheme is given. Applying this method to simulate the current of the Yangtze Estuary, the calculated results are quite consistent with the observed data. The flat area is composed of acute triangular elements. On the nodes, the first and second order partial derivatives have been defined. In the basic flow equation, the horizontal eddy viscosity term has also been considered. This method has the great advantage of being able to simulate graphics flexibly, that is, the boundaries are more accurate and can be divided arbitrarily in the area of interest. Moreover, this method is economical.