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首页> 外文期刊>Applied mathematics letters >Scattering of surface waves over an uneven sea-bed
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Scattering of surface waves over an uneven sea-bed

机译：表面波在不平坦的海床上的散射

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This work is concerned with the scattering of a train of progressive waves by a small undulation of the bottom of a laterally unbounded sea, using two-dimensional linear water wave theory. Assuming irrotational motion, a simplified perturbation analysis is employed to obtain the first-order corrections to the velocity potential by using the Green's integral theorem in a Suitable manner, and the reflection and transmission coefficients in terms of integrals involving the shape of the function c(x) representing the bottom undulation. Particular forms of the shape function are considered and the integrals for reflection and transmission coefficients are evaluated for these shape functions. For a varying sinusoidal sea bottom when Bragg resonance Occurs, the reflection coefficient becomes a multiple of the number of ripples, and high reflection of the incident wave energy occurs if this number is large. We present the result in graphical form for one, three and five ripples in the patch. The results find absolute agreement with available results. (C) 2008 Elsevier Ltd. All rights reserved.
机译：这项工作涉及使用二维线性水波理论，通过横向无边界海底的小起伏来散射一连串的渐进波。假设存在旋转运动，采用简化的摄动分析，以适当的方式利用格林积分定理，对速度势进行一阶校正，并且反射和透射系数的积分形式涉及函数c（ x）代表底部波动。考虑形状函数的特定形式，并针对这些形状函数评估反射系数和透射系数的积分。对于发生布拉格共振的正弦形海底变化，反射系数变为波纹数的倍数，如果该数字大，则入射波能量会发生高反射。我们以图形形式显示了补丁中一，三和五个波纹的结果。结果与可用结果完全一致。 （C）2008 Elsevier Ltd.保留所有权利。

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