Wave diffraction by a long array of cylinders
Wave diffraction by a long array of cylinders
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DOI：
10.1017/s0022112097005296
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发表时间：
1997-05
影响因子：
3.7
通讯作者：
H. Maniar;J. N. Newman
中科院分区：
文献类型：
--
作者：
H. Maniar;J. N. Newman
在线性理论的假设下，分析了水波在底置圆柱阵列中的衍射。圆柱体是相同的，并且沿阵列的间距相等。当柱面数量很大但有限时，在临界波数下相邻柱面之间会发生近共振模式，并对阵列的每个元件造成异常大的负载。这些模式与在两个方向上延伸到无穷大的阵列衍射的齐次解的存在有关。这种现象与沟道中存在困波有关。建立了第二个捕获波，对应于通道壁上的狄利克雷边界条件，以及存在“近捕获”模式的更高波数序列。
Water wave diffraction by an array of bottom-mounted circular cylinders is analysed under the assumptions of linear theory. The cylinders are identical, and equally spaced along the array. When the number of cylinders is large, but finite, near-resonant modes occur between adjacent cylinders at critical wavenumbers, and cause unusually large loads on each element of the array. These modes are associated with the existence of homogeneous solutions for the diffraction by an array which extends to infinity in both directions. This phenomenon is related to the existence of trapped waves in a channel. A second trapped wave is established, corresponding to Dirichlet boundary conditions on the channel walls, as well as a sequence of higher wavenumbers where ‘nearly trapped’ modes exist.