【摘要】 <正> 水闸自由出流曲线的计算属于重力作用下具有自由表面的位势流动计算。由于这类问题有极大的理论兴趣和工程实际意义,近几十年来,国内外先后用保角变换、松弛法、有限单元法、速度图等方法进行过计算。本文通过Schwarz-Hilbert变换得到位势平面上的积分方程,设法加快迭代求解积分方程的速度迅速地得出出流曲线的准确形状。虽然本文只对平底直闸门进行了计算,但所采用的方法可应用于具有任意已知形状的闸门或水坝自由出流曲线的计算。更多还原

【Abstract】 This paper presents a novel numerical method for determining the free streamline of the outflow under a sluice gate. Using Schwarz-Hil-bert’s transformation, we can obtain a system of integral-differential equations, which involve unique parameter and its solving can be reduced to solving a linear algebraical system. As an example, the flow from a plane vertical gate have been computed and the result is consistent with the solution by hodograph method.The presented method, that greatly improved the computing speed and the accuracy, can be used for other calculation of potential flow with free surface.更多还原