无航速具有自由液面的三维Green脉动源函数的数值积分方法

Numerical Integration of Green Source Function with Free Water Surface and Zero Advancing Speed

提出了一种计算无航速具有自由液面的三维Green脉动源函数的方法。采用零阶Bessel函数的La-place变换,将无航速具有自由液面的三维Green脉动源函数变形为易于截断处理的形式,实现无穷积分向有限积分的转变。采用样条插值技术和自适应方法解决了高频振荡函数的数值积分的速度和精度问题。对半球浮体进行数值计算,结果令人满意,表明该方法的经济有效性。

A numerical integration method on 3D Green source function with free water surface and zero advancing speed is proposed. Zero order Laplace transformation makes the Green source function easily to be truncated. Various integration methods are used according to the characteristics of the function in different areas. Spline fit and adaptive program are used to integrate the oscillating functions. The numerical solution for an oscillating hemisphere on the free surface with zero advancing speed gives a satisfactory result.