中文摘要：

能够有效地模拟不规则波中非线性的波物相互作用是深海工程领域一直关心的热点问题,因此有必要采用时域理论对不规则波中非线性的波物相互作用进行研究和分析。对自由面和物面条件进行Taylor级数和Stokes摄动展开得到一阶和二阶边值问题。使用基于Rankine源的边界元法计算每一时刻的流场,并在自由面上采用积分格式的自由面条件;在远方控制面上采用多次透射边界条件以及其耦合阻尼区的边界条件;对做不规则垂荡运动的截断圆柱所受到的水动力进行了时域数值模拟。结果表明：文中方法可以用于时域研究不规则波中的二阶问题,在人工边界处达到无反射的效果。

英文摘要：

A time domain second-order method is presented to simulate three-dimensional nonlinear wave- body interaction problem in irregular wave. In this approach, Taylor series expansions are applied to the body surface boundary condition and the free surface boundary conditions, and Stokes perturbation procedure is then used to establish corresponding boundary value problem at first and second order on the time-inde- Zone method （MTF＋DZ） are employed to satisfy the radiation condition to minimize the wave reflection. A stable Integral form of Free surface Boundary Condition （IFBC） is used to update velocity potential on the free surface. The presented method is applied to compute the case of a truncated circular cylinder under- going irregular heave motion. It is shown that long time simulation can be done without instability, and this method can be used to time domain simulation of second-order wave-body interaction in irregular wave.