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终结讨论:原文发表以后不少同志参加讨论,提出了很多宝贵的意见,作者谨向他们表示感谢,因为只有通过讨论才能有所提高。 首先,作者希望说明一下原文的几个特点:(1)用了可变区域的变分原理,(2)将求解区域分为固定区域和沿自由表面的一条可变区域;(3)在固定区域中采用三角形单元,并假设流函数ψ为线性分布。在可变区域中用梯形单元,根据已知的表面条件假设流速的平方q~2和水平距离x成比例;(4)把决定自由表面位置的d值和各结点的未知ψ值当作未知量,形成统一的方程组求解。在
Conclusion: Since the publication of the original, many comrades participated in the discussion and put forward many valuable suggestions. The authors would like to express their gratitude to them for raising the issue only through discussion. First of all, the author wishes to explain some of the features of the original text: (1) using the variational principle of a variable region, (2) dividing the solved region into a fixed region and a variable region along a free surface; (3) Triangular elements are used in the region, and the stream function ψ is assumed to be linearly distributed. In a variable region, the trapezoidal elements are used, assuming that the square of the flow rate, q ~ 2, is proportional to the horizontal distance, x, based on known surface conditions; (4) the d value, which determines the free surface position, and the unknown, Unknowns to form a unified equations to solve. in