线性绕射波理论的直接边界积分方程及其数值处理

DIRECT BOUNDARY INTEGRAL EQUATION AND NUMERICAL MODEL OF LINEAR DIFFRACTION WAVE THEORY

以线性绕射波理论为基础 ,采用边界积分方程中直接法计算大尺度圆柱结构上的波浪力 .推导了基本解和边界积分方程 ,阐述了对核函数的奇异积分的处理 ,引入了矩阵对称性转换技术 ,以减少机时 .算例证实了本方法及计算程序有效、可行 。

The computation of wave force on a large circular cylinder structure using the direct method of boundary integral equation is presented based on the linear diffraction wave theory.The fundamental solution and boundary integral equation are deduced in detail.The singular integral is solved.Mean while the symmetry condition is introduced to reduce the computer time.Examples show that,it is of important value for applying this method to the procedure of engineering design.