摘要
在内场中使用简单Green函数的边界元方法与外场的速度势特征函数展开式相结合,用于求解多个同频摇荡剖面引起的水面波辐射问题的频域解· 方法适用于外场为定深的水域以及内场的复杂边界条件,各剖面的摇荡模态、幅值和相位可以互不相同· 利用摄动展开完整地求解了流场的二阶速度势和各个剖面所受的一、二阶水动力· 与单个剖面的情况相比,数值结果证实了多个剖面辐射引起的诸如水波共振和负附加质量等水动力干扰现象,这对于多体结构的锚泊系统和其它海洋工程设施的设计是很重要的·
The water surface wave radiation problem caused by multiple cylinders oscillating with identical frequency was solved in frequency domain by the boundary element method using simple Green's function in the inner water region combined with the eigenfunction expansions in the outer water region. The numerical method is suitable to the situation of constant depth of outer regions and complicated boundary conditions of inner region, while the oscillating modes, motion amplitudes and phases of the cylinders may be different from one another. The second order potential and hydrodynamic forces acting on ecah cylinder were evaluated completely by perturbation method. Compared with the case of single oscillating cylinder, hydrodynamic interference phenomena, such as wave resonance and negative added mass, of the radiation problem due to the oscillatory motions of multiple cylinders are identified which is of engineering importance to the design of moorings and other facilities involving multiple structures.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第10期1072-1080,共9页
Applied Mathematics and Mechanics
关键词
水面波
辐射问题
水动力
格林函数
摇荡模态
plane water surface wave
radiation problem
solution in frequency domain
second order hydrodynamic force
added mass
damping coefficient