动水压力问题的一种边界元解法

本文将动水压力设定为有限个半平面解答的线性组合,它精确满足域内的方程,然后令解答在N 个边界点满足给定的边界条件求解设定的解答中的待定常数。该方法有简单,避免奇异积分、解设定常数的方程组状态好等优点。文中给出的算例说明了方法的正确性。

Boundary Element Analysis of Hydrodynamic Pressure

In this paper,the hydrodynamic pressure is expressed as a linear combinationof the solution of semi-infinite plane,which satisfies the equation in the domainconsidered.Forcing the boundary conditions at N points on the boundary,weobtain a set of simultaneous equations which are solved to determine the unkn-own coefficeints in the equations.This method has the advantages of simplicity,no improper integrals and good conditions of simultaneous equations with constantcoeffients.A numerical example is given in the paper for the verification ofits correctness.