Stokes波的数值生成

Numerical generation of Stokes waves

优良的波浪环境条件是非线性波浪与结构物相互作用问题研究的基础。给出一种在时域中模拟刚性剖面作周期运动辐射生成Ｓｔｏｋｅｓ 波的方法，为数值波浪水池试验提供高品质入射波模型。在频域中对二维二阶辐射问题作数值求解，通过对二阶辐射波传播模式的分析，找出能在水池中生成二阶意义上纯正的Ｓｔｏｋｅｓ波的造波机运动形式。利用边界积分方程的时间步进法进行非线性数值造波的模拟证实了在频域中得到的结论，在数值波浪水池中生成了稳定的带有波前的高品质Ｓｔｏｋｅｓ波。

Quality of wave environment is a basis for the study of nonlinear interactions between water waves and floating structures. To provide good quality incident waves in numerical wave tanks, a method was presented for simulation of Stokes wave generation in the time domain by a two dimensional rigid body periodically oscillating on a free water surface. This two dimensional radiation problem was numerically solved in the frequency domain up to second order, by analyzing the propagating characteristic of the second order radiation wave, a special motion mode of the rigid body was predicted that can create Stokes wave in an accuracy of second order. The analytical results were verified by numerically simulating the two dimensional nonlinear waves in time domain with time stepping BIM method. These waves are shown to be good quality Stokes waves with front.