Wave scattering by multiple rows of circular ice floes
Wave scattering by multiple rows of circular ice floes
复制标题
多排圆形浮冰的波散射
DOI：
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发表时间：
2009
影响因子：
3.7
通讯作者：
V. Squire
中科院分区：
文献类型：
--
作者：
L. Bennetts;V. Squire
在时间调和条件下，利用线性理论建立了边缘冰区海浪散射的三维模型。单个浮冰由圆形弹性板表示，并允许具有物理上真实的吃水。这些浮球排列成有限数量的平行行，每行都有无限多个均匀分布的相同浮球。不同行之间的Floe属性可能不同，行之间的间距是任意的。解的垂直相关性在有限个模式中展开，并通过使用变分原理，生成有限的二维方程组，从该组方程中可以恢复到任何期望的精度的全线性解。通过规定每一行中的周期相同，使用考虑了传播波和消逝波之间的相互作用的传递矩阵来组合各个行的散射特性。给出了数值结果，考察了使用三维模型和使用二维模型之间的差异，在二维模型中，行被冰条取代。此外，当两行相同且等间距时，布拉格共振被识别出来，并且当引入模型所容纳的不均匀时，布拉格共振被证明是减小的。
A three-dimensional model of ocean-wave scattering in the marginal ice zone is constructed using linear theory under time-harmonic conditions. Individual floes are represented by circular elastic plates and are permitted to have a physically realistic draught. These floes are arranged into a finite number of parallel rows, and each row possesses an infinite number of identical floes that are evenly spaced. The floe properties may differ between rows, and the spacing between the rows is arbitrary. The vertical dependence of the solution is expanded in a finite number of modes, and through the use of a variational principle, a finite set of two-dimensional equations is generated from which the full-linear solution may be retrieved to any desired accuracy. By dictating the periodicity in each row to be identical, the scattering properties of the individual rows are combined using transfer matrices that take account of interactions between both propagating and evanescent waves. Numerical results are presented that investigate the differences between using the three-dimensional model and using a two-dimensional model in which the rows are replaced with strips of ice. Furthermore, Bragg resonance is identified when the rows are identical and equi-spaced, and its reduction when the inhomogeneities, that are accommodated by the model, are introduced is shown.