论文标题
边缘冰区水波衰减的均质散射模型
Homogenized scattering model of water wave attenuation in marginal ice zone
论文作者
论文摘要
开发了一种理论模型来解释边缘冰区中波衰减的散射过程。许多田间观测值以距离的指数函数的形式提供了波能衰减，这是通过复杂波数的耗散过程来证明的。另一方面，这种机制未在散射过程中明确证明。为了解释这一点，我们考虑了周期性的冰阵列，其中浮子是由垂直刚性圆柱体建模的。使用均质化技术，获得了等同于阵列的均质的自由表面。然后，我们表明均质自由表面波的分散关系使所有波数变得复杂。结果，证明了散射过程中的指数衰减。尽管我们的模型是使用许多简化获得的，但它却将现有的现场观测和数值模拟都重现了一致的趋势。深海的波衰减系数与冰浓度成正比和开放水波的波数成正比，并且随着浮子的半径和草稿变大或波周期较小，系数更大。
A theoretical model to explain the scattering process of wave attenuation in a marginal ice zone is developed. Many field observations offer wave energy decay in the form of exponential function with distance, and this is justified through the complex wave number for the dissipation process. On the other hand, such a mechanism is not explicitly proven for the scattering process. To explain this, we consider a periodic array of ice floes, where the floe is modeled by a vertical rigid cylinder. Using a homogenization technique, a homogenized free surface equivalent to the array is obtained. Then, we show that a dispersion relation of the homogenized free surface waves makes all wave numbers complex. As a result, the exponential energy decay in the scattering process is demonstrated. Although our model is obtained using many simplifications, it reproduces consistent tendencies with both existing field observations and numerical simulations; the wave attenuation coefficient for the deep sea is proportional to the ice concentration and the wave number for open water waves, and the coefficient is bigger as the radius and draft of the floe become larger or the wave period is smaller.
