摘要
三维过坝水流是一种具有自由表面的临界流动，即使在势流假设下，因其非线性强，数值求解时也会遇到较大困难，目前尚未见到有效势流解法。本文提出一种正交调和变换法，可方便地采用笔者曾提出的自由表面位移理论，同步解出待定的自由表面位置和未知能头（或流量）。算例表明，该三维过坝水流的计算方法是成功的，计算结果与试验值吻合较好。
D flow over spillway is a critical flow with free surface. Due to the typical nonlinear nature of the problem, even though on the hypothesis of ideal potential flow, it is very difficult to be solved by use of numerical method,an efficient potential flow solution has not been found. An orthogonal transformation algorithm for 3-D flow is developed in this paper. This algorithm makes it possible to apply the free surface displacement method originally proposed by the first author, to iterate simultaneously unknown free surface position and energy head(or discharge). Computed test shows that the numerical method for 3-D flow over spillway is successful,and a good agreement between the computation results and experiment data can be achieved.
关键词
三维水流
数值模拟
过坝水流
计算
numerical model
3-D flow
orthogonal transformation method
flow over spillway
