二维孔口的边界元法数值计算

Numerical Computation on 2-D Orifice in Boundary Element Method

本文利用边界元法建立了一个求解二维孔口的数学模型。这一模型的特点只需要知道边界上的基本边界条件和自然边界条件,就可以得到边界上所需要求的流函数和水流速度;进而也可以得到内点的流函数及流速分布;并得到壁面上的压力分布。通过对带自由面的丹江口深孔的算例,得到了令人满意的计算结果。

The boundary element method is applied to find a numerical model on 2-D orifice in this paper. The characteristic of this model is only to know basic and natural boundary condition, then the stream function and flow velocity required on the boundary are obtained. Also the stream function and flow velocity of the internal points, and the distribution of velocity and pressure on the spillway are got. Using this method, the computation of the deep hole at Danjiangkou with free surface gives satisfactory results.