Abstract The three-dimensional Green-function method is presented in this paper to predict the water wave radiation of a submerged body in infinite depth of water with ice cover. The ice is modelled as an elastic plate and the fluid is assumed to be perfect fluid and irrotational. The zero-speed Green function satisfying the linearized covered-surface condition is derived for the first time in three dimensions, the numerical results of the Green function and its derivatives are given out. Then the integral equations are established by distributing the source strength on the body surface, the hydrodynamic coefficients and ice plate deflection are solved. A submerged sphere is taken as an example, the excellent level of agreement with the analytical solutions reveals that the present method is correct and reliable.

中文翻译：

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冰盖下水体水波辐射预测的三维格林函数法

摘要 本文提出了一种三维格林函数方法来预测无限深水体冰盖下水波辐射。冰被建模为弹性板，流体被假定为完美流体和无旋。首次在三个维度上推导了满足线性化覆盖面条件的零速格林函数，并给出了格林函数及其导数的数值结果。然后通过在体表上分布源强度建立积分方程，求解水动力系数和冰板挠度。以水下球体为例，与解析解的高度吻合表明本方法是正确可靠的。