Scattering of gravity waves by a periodically structured ridge of finite extent
Scattering of gravity waves by a periodically structured ridge of finite extent
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DOI：
10.1017/jfm.2019.259
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发表时间：
2019-07-25
影响因子：
3.7
通讯作者：
Marigo, Jean-Jacques
中科院分区：
文献类型：
--
作者：
Maurel, Agnes;Pham, Kim;Marigo, Jean-Jacques
我们研究了水波在亚波长尺度上的脊结构的传播，使用均匀化技术能够占其有限的程度。在时域中进行的计算，考虑全三维的问题，以捕获的结构脊和在其边界处的水通道中的倏逝场的影响。这提供了一个有效的二维波动方程，这是一个经典的结果，但也是非直观的传输条件之间的区域的脊和周围区域的恒定浸没深度。数值结果提供的证据表明，结构化的脊的散射特性可以强烈影响的倏逝场，这是准确地捕获的均匀化模型的事实。
We study the propagation of water waves over a ridge structured at the subwavelength scale using homogenization techniques able to account for its finite extent. The calculations are conducted in the time domain considering the full three-dimensional problem to capture the effects of the evanescent field in the water channel over the structured ridge and at its boundaries. This provides an effective two-dimensional wave equation which is a classical result but also non-intuitive transmission conditions between the region of the ridge and the surrounding regions of constant immersion depth. Numerical results provide evidence that the scattering properties of a structured ridge can be strongly influenced by the evanescent fields, a fact which is accurately captured by the homogenized model.