时域格林函数法求解有航速船舶运动问题

Ship motions with forward speed by time-domain Green function method

准确预报波浪诱导运动和载荷响应在船舶设计中起着重要作用。该文基于三维时域Green函数法,应用改进的精细积分算法实现Green函数的精确数值计算,在此基础上,自主开发了船舶以定常航速在规则波中运动的三维时域数值模拟程序。为了验证理论方法及算法程序的可靠性,对Wigley型船在迎浪规则波中航行时的波浪力和运动响应进行了数值模拟,通过与试验值及频域计算结果的对比发现,三维时域数值模拟程序是稳定且可靠的,可用于解决有航速船舶在波浪中的微幅摇荡运动问题。

Accurate prediction of wave-induced forces and motions is of crucial importance in ship design. A 3D time-domain program has been developed based on the transient Green function method. The modified precise integration method has been applied to evaluate the time-domain Green function. The program can be used to solve the hydrodynamic problems involving ship moving with a constant forward speed in waves. And numerical tests have been carried out for a Wigley-hull-form ship moving in head seas; the results are compared with experimental data and frequency-domain results. Through the comparisons on wave-induced forces and motions, the reliability and stability of the 3D time domain program are confirmed, and the program can be applied to solve hydrodynamic problems involving ship moving at a constant forward speed in wave.