有航速浮体时域分析的混合边界元法

A Hybrid Boundary-element Method for Time Domain Analysis of Floating Bodies with Forward Speed

给出了一种联合瞬态格林函数和Rankine源进行有航速浮体时域水动力分析的混合——边界元方法。在三维混合边界元方法中,通过一个匹配面将流体域划分为内域和外域,在内域中使用Rankine源以模拟直壁或非直壁船体及线性或非线性自由面条件,在外域中使用瞬态格林函数以满足自由面条件和远方辐射条件。使用该方法计算了一个有航速潜没圆球的波浪力,和解析结果的比较证明了该方法的正确性。进一步给出了一个有航速Wigley船的水动力结果,计算结果稳定,没有外传波向内反射的现象发生。

Based on a combination of the transient Green＇s function and Rankine sources, the hybrid boundary-element method for time domain analysis of floating bodies with forward speed was presented. In this method, the fluid domain was divided into an inner domain and an outer domain through a matching surface. In the inner domain, the Rankine sources were used to model the wall-sided or non-wall-sided geometry and linear or non-linear free surface boundary conditions. In the outer domain, the transient Green＇s function was used to satisfy the linearized free surface boundary condition and the far field radiation condition. The computed wave force was compared to the analytical solutions for a submerged sphere with forward speed and good agreement was found. Further computations were made for a Wigley hull at forward speed and the hybrid boundary-element method was shown to be stable and wave reflection was avoided.