双自由面重力流的数值保角变换方法——(Ⅱ)数值方法

The Numerical Method of Conformal Mappings for the Gravity Flow Involving Double - Free Surfaces (Ⅱ) Numerical Method

本文是文献[1]的继续。在薄壁堰双自由面泄流问题数学模型的基础上,本文进一步发展了该问题的一种数值离散和数值计算方法,包括不同单元插值函数的选取、边界奇异积分的处理等。文中选取倾角为45°薄壁堰泄流流动进行了数值计算,所得上、下两自由面位置和泄流流量与实测或分析值吻合很好。全文得出了一些有益的结论。

Based on the mathematical model presented by the authors in Ref. [ 1 ], a numerical method is developed in this paper, including the design of different interpolating functions and numerical treatment of boundary singular integrations. A practical flow over a sharp-crested weir with sloping angle 45°is numerically simulated by using the present method. The predicted positions of upper and lower free surfaces and discharge rate are quite consistent with the experimental and analytic data respectively.