中文摘要：

非线性波物相互作用一直是深海工程领域关心的热点问题,因此有必要采用二阶时域理论对非线性波物相互作用问题进行研究分析.对自由面条件和物面条件进行Taylor级数展开和Stokes摄动展开得到一阶和二阶边值问题.使用基于Rank ine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;同时,对做强迫正弦垂荡的半潜柱体进行了时域模拟,讨论了二阶水动力对浮体受力的影响,并将数值结果与相关文献中的结果进行了比较和分析.结果表明采用文中方法得到的数值结果准确、稳定和高效.

英文摘要：

A time-domain second-order method was developed to simulate the three-dimensional nonlinear wave-body interaction problem.In this approach,Taylor series expansions were applied to the body＇s surface boundary condition and the free surface boundary conditions.The Stokes perturbation procedure was then used to solve the corresponding boundary value problem,in first and second order on the time-independent surfaces.A boundary element method（BEM）,based on the Rankine source method,was subsequently applied to calculate wave fields at each time step.A multi-transmitting formula method（MTF） with an artificial wave speed was next employed to satisfy radiation conditions and minimize wave reflections.A stable integral form of the free surface boundary condition（IFBC） was used to update the velocity potential on the free surface.This method was applied to compute the case of a truncated,surface-piercing,circular cylinder undergoing sinusoidal heave motion.The results of the simulation were compared with other＇s solutions.It was shown that simulations can be run over long periods of time without instability,that the method is accurate,and that it is computationally efficient.