We reformulate a three‐dimensional theory for wave‐ice interactions for flexible ice floes and present a comparison of this new formulation with selected recent parameterizations for the scattering of ocean surface waves due to individual ice floes. The formulation is based on single flow scattering and a transport equation for energy, which fits with the paradigm used in wave prediction code. These parameterizations are implemented as source terms in the action balance equation for a modern version of the phase‐averaging wave model WAVEWATCH III® (denoted WW3). In this comparison, a simple experiment is performed with regularly distributed ice floes in a marginal ice zone. With the new wave‐ice formulation, results show that attenuation in the direction of propagation is less intense than for the other considered formulations, scattering is more isotropic, and the wave energy is attenuated in the region of the original spectral peak. Thus, a new spectral peak is developed, which is shifted to higher frequencies. The wave scattering and subsequent attenuation are related to the floe response amplitude and the dimensions of the ice floes.

中文翻译：

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柔性边际浮冰对波浪的三维散射

我们对柔性浮冰的波冰相互作用重新构造了一个三维理论，并提出了该新公式与所选近期参数化的比较，该参数化用于个别浮冰引起的海面波的散射。该公式基于单流散射和能量传输方程，适合波浪预测代码中使用的范式。这些参数化在现代版本的相位平均波模型WAVEWATCHIII®（表示为WW3）的动作平衡方程中作为源项实现。在此比较中，对边缘冰区中规则分布的浮冰进行了简单的实验。使用新的波冰公式，结果表明，与其他考虑的公式相比，传播方向的衰减不那么强烈，散射更加各向同性，并且波能在原始光谱峰的区域内衰减。因此，产生了一个新的光谱峰，该峰移至更高的频率。波浪的散射和随后的衰减与絮凝物的响应幅度和絮凝物的尺寸有关。