The present study provides a semi-analytical formulation for the diffraction problem by an immersed oblate spheroid in a liquid field of finite water depth. The method of image singularities in oblate geometry, allows the expansion of the velocity potential in series of auxiliary potentials and eventually, the derivation of analytical expressions for the hydrodynamic loads on the spheroid subjected to the action of regular surface waves. The axisymmetric placement of the spheroid is considered, namely, having its symmetrical axis perpendicular to the undisturbed free surface. The solution of the problem is based on the method of image singularities. Based on the same approach, a disc is simulated as an oblate spheroid. The whole process that has been performed for the spheroid, is performed for the disc as well. The favorable agreement between the results of the present method and existing data, ensures the accuracy and robustness of the proposed methodology.

本研究提供了一种半解析公式，用于解决在有限水深的液体场中浸没扁球体所产生的衍射问题。扁圆几何形状中的图像奇异性方法可以扩展一系列辅助势中的速度势，并最终得出在规则表面波作用下的球体上流体动力载荷的解析表达式。考虑球体的轴对称放置，即，使其对称轴垂直于未受扰动的自由表面。该问题的解决方案基于图像奇异性方法。基于相同的方法，将圆盘模拟为扁球体。对于球体，已经执行了整个过程，对光盘也执行了整个过程。