波浪中航行船体的非定常波数值模拟

王梓任 陈磊

摘    要：本文以三维移动脉动源格林函数为积分内核，根据线性势流理论，采用面元法求解体各运动模态振幅的辐射势及绕射势，利用伯努利方程求解船表面的波浪压力;通过压力积分获得船体所受波浪载荷;将所求得的各速度势代入自由面动力学条件求解船体周围的非定常波;以一修正的wigly模型为例，通过和模型试验结果的比较，验证了本文方法的可靠性。

关键词：船体; 非定常波; 势流理论; 三维移动脉动源

中图分类号：U661.32                            文献标识码：A

Abstract： A 3D frequency domain analysis solution based on the potential theory and the boundary theory is developed to investigate the unsteady waves for a ship advancing in regular waves. The 3D translating-pulsating source Green function is chosen to simulate the radiation and diffraction wave potentials. By using these potentials in the Bernoulli equation， hydrodynamic pressure is obtained， and wave loads of the ship are obtained from integrating the relative pressure over the mean wetted surface of the ship. By using the diffraction potential and radiation potential in the free surface hydrodynamic condition， radiation and diffraction waves are obtained. Validation is performed through studying hydrodynamic terms， the predictions obtained by the present method show general agreement with the experiments.

Key words： Hull; Unsteady waves; Potential theory; 3D translating-pulsating source

1     引言

波浪中航行的船舶因入射波的作用会作摇荡运动，入射波与船体接触时会产生反射作用并向船外传播绕射波，入射波、辐射波及绕射波构成了船舶复杂的非定常波系。这种非定常波系无论是在理论研究还是在工程实际中都扮演着重要作用，常用来评估船体的耐波性能。比如：在采用波形分析法研究船体在波浪中的阻力增值时，就需要试验测量或者理论预报船体的这种非定常波系;又比如：舰船横向补给时，船体间的液面抬升則主要是由补给舰与接收舰产生的非定常场波系相互干扰和作用的结果，这种液面抬升会影响干货补给的安全。因此，理论研究中常常需要确定船船之间的这些复杂波系的性质，从而为补给参数的设计提供依据。

从定常波系的定义可知这种波浪是复杂的，理论预报时不仅要准确预报船体的摇荡运动来确定辐射波，同时还需要求解入射波遭遇船体时的反射波。……