Forced ice-shelf oscillations modeling was undertaken employing a full 3D finite-difference model of an elastic ice shelf that was coupled to a treatment of under-shelf seawater flux. The seawater flux was described by the wave equation, which includes the pressure excitements in the shallow water layer under the ice shelf. Thus, ice-shelf flexure was produced by hydrostatic pressure oscillations in the below-shelf seawater. Numerical calculations were performed for an idealized rectangular crevasse-ridden ice-shelf geometry. The crevasses were modeled as rectangular notches into the ice shelf. In the numerical experiments, the ice-plate flexures were forced by harmonic-entering pressure oscillations having a range of periodicities 5–250 s. The dispersion spectra derived for a crevasse-ridden ice shelf revealed “band gaps”—frequency ranges where no eigenmodes exist. The results further showed that the impact of ocean waves on the ice plate is abated from the point of view of a decrease in the spectral average amplitude in the vicinity of the spectrum where the “band gaps” are observed. This impact depends on the depth of crevasse penetration to the ice.

中文翻译：

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冰架上的裂缝引起的海浪冲击的减轻

使用弹性冰架的完整3D有限差分模型进行了强迫的冰架振荡建模，该模型与处理架下海水通量相结合。海水通量由波动方程描述，该波动方程包括冰架下浅水层中的压力激发。因此，冰架弯曲是由于架下海水中的静水压力振荡而产生的。对理想的矩形缝隙式冰架几何形状进行了数值计算。裂缝被模拟为冰架上的矩形缺口。在数值实验中，冰板挠曲是由谐波输入的压力振荡（周期为5–250 s）强迫产生的。从裂隙遍布的冰架获得的色散谱显示出“带隙”，即不存在本征模的频率范围。结果进一步表明，从观察到“带隙”的光谱附近的光谱平均振幅减小的观点来看，海浪对冰板的影响被减轻。这种影响取决于裂缝向冰中渗透的深度。