Based on a fully nonlinear time-domain higher-order boundary element method (HOBEM), the present paper investigates a semi-circular floating body entering obliquely into Stokes wave with air entrapment. In this model, a fifth-order analytical solution is used to simulate the Stokes wave as incident boundary condition. A long and thin jet layer is simulated and assumed to separate from wetted body surface along its tangential direction, which avoids fluid particular leaving or invading body surface. When inner free surfaces on both sides of body collide with each other, a closured air cavity is formed based on the assumption of adiabatic. Dual local stretched coordinate systems are applied to resolve the impact with air cavity effect and downward motion of inner jet due to the local impacts between two water surface which is mainly dynamic effects. Some auxiliary functions are employed to obtain the pressure distribution induced by wave impact. The developed model is verified against the published numerical results for water entry with air cavity effect in the absence of waves. Then, numerical simulations are undertaken to investigate the mechanism of wave entry with air cavity formation through designed parameters, i.e. wave amplitude, wave length, initial wave phase, initial air pressure, prescribed floating body velocity. Numerical results indicate that the presence of wave delays the formation of air pocket and leads to more asymmetric shape of air pocket with the increase of wave nonlinearity when the body impacts the wave peak. After the occurrence of air pocket, the fluid pressure sharply increases.

基于完全非线性的时域高阶边界元方法（HOBEM），本文研究了一种半圆形的浮体，其在夹带空气的作用下倾斜进入斯托克斯波。在该模型中，使用五阶解析解来模拟斯托克斯波作为入射边界条件。模拟了一个细长的长喷射层，并假设其沿切线方向与润湿的身体表面分离，从而避免了流体特别离开或侵入身体表面。当主体两侧的内部自由表面相互碰撞时，基于绝热的假设会形成一个封闭的气腔。应用双重局部拉伸坐标系来解决由于两个水面之间的局部碰撞而产生的气穴效应和内部射流向下运动的影响，这主要是动力效应。一些辅助功能被用来获得由波浪冲击引起的压力分布。在没有波浪的情况下，已开发的模型已针对已发表的数值结果进行了验证，该结果适用于带有气穴效应的水进入。然后，进行了数值模拟，通过设计参数，即波幅，波长，初始波相位，初始气压，规定的浮体速度，研究了形成空气腔的波进入机理。数值结果表明，波浪的存在会延缓气穴的形成，并在人体撞击波峰时随着波浪非线性的增加而导致气穴形状更加不对称。出现气穴后，流体压力急剧增加。