A numerical model is proposed for analyzing the effects of added mass and damping on the dynamic behaviors of hydrofoils. Strongly coupled fluid-structure interactions (FSIs) of hydrofoils are analyzed by using the 3-D panel method for the fluid and the finite element method for the hydrofoils. The added mass and damping matrices due to the external fluid of the hydrofoil are asymmetric and computational inefficient. The computational inefficiencies associated with these asymmetric matrices are overcome by using a modal reduction technique, in which the first several wet mode vectors of the hydrofoil are employed in the analysis of the FSI problem. The discretized system of equations of motion for the hydrofoil are solved using the Wilson-θ method. The present methods are validated by comparing the computed results with those obtained from the finite element analysis. It is found that the stationary flow is sufficient for determining the wet modes of the hydrofoil under the condition of single-phase potential flow and without phase change. In the case of relatively large inflow velocity, the added damping of the fluid can significantly affect the structural responses of the hydrofoil.

提出了一个数值模型来分析附加质量和阻尼对翼型动力特性的影响。通过使用3-D面板方法对流体和有限元方法对水翼进行水翼的强耦合流固耦合（FSI）。由于水翼的外部流体导致的附加质量和阻尼矩阵是不对称的，并且计算效率低下。通过使用模态归约技术可以克服与这些不对称矩阵相关的计算效率低下的问题，该技术中，在分析FSI问题时采用了水翼的前几个湿模矢量。使用Wilson- θ求解水翼运动方程的离散系统方法。通过将计算结果与从有限元分析获得的结果进行比较，验证了本方法的有效性。发现在单相势流且无相变的条件下，固定流足以确定水翼的湿模式。在较大的流入速度的情况下，增加的流体阻尼会显着影响水翼的结构响应。