有限深两层流体中水波与水平圆柱潜体的相互作用

研究了有限深两层流体中表面波模态和内波模态的水波与水平圆柱潜体的相互作用问题。在线性势流理论框架内,建立了两种模态入射波作用下,水平圆柱体绕射势的多极展开求解理论。基于所建立的求解模型,对作用在圆柱体上的波浪力进行了数值计算分析,并且与均匀流中情况进行了比较。结果表明了,在入射波的某个频率范围内,流体的分层效应对圆柱体波浪力的影响是不可忽略的。同时,对流域内的绕射速度矢量场进行了数值分析。

The interaction of water waves with a submerged circular cylinder in a two-layer fluid of finite depth

In a two-layer fluid space with finite depth,the interaction between a submerged circular cylinder and water waves,which are characterized by surface-and internal-wave modes respectively,was investigated.Within the frame of the linear potential theory,the theoretical solutions of the diffraction problems due to the incident waves of both modes were obtained based on the multiple expansion method.The method for calculating the wave forces on the submerged circular cylinder is presented.The results are compared with the analytical results in the case of the single-layer fluid.The numerical results show that the density stratification can have a relative large effect on the wave forces of the submerged circular cylinder over a wide range of frequencies.The velocity field of the diffraction flow has been analyzed as well.