Role of detuned frequency on Bragg scattering of surface gravity waves over an array of sinusoidal bottom patches: An analytic study

IF 4.3 2区 工程技术 Q1 ENGINEERING, OCEAN Applied Ocean Research Pub Date : 2024-09-21 DOI:10.1016/j.apor.2024.104228
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Abstract

The study uses linearized water wave theory to examine the role of detuned frequency on Bragg scattering of surface gravity waves over an array of bottom-standing submerged sinusoidal patches. Explicit formulae for reflection and transmission coefficients are derived using the matrix transfer method in the case of an array of patches, with each patch having a finite number of ripples. Bragg resonance occurs in the case of more than two patches beyond a certain cutoff frequency corresponding to supercritical detuning, while a monotonic increasing trend is observed below the cut-off frequency which is referred to as subcritical detuning. The number of sub-harmonic peaks between two consecutive harmonic peaks is one less than the number of patches. As the number of patches grows, so does the number of zero reflections, while the number of sub-harmonic peaks is invariant with the number of ripples within a patch. The corrugated length of the submerged sinusoidal patches and the resonator length determine the highly resonating/wave trapping features of wave reflection within the resonator and the corrugated patches. The time-domain simulation of surface displacement reveals the scattering and splitting of wave pulses over the submerged patches.

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失谐频率对正弦波底斑块阵列上表面重力波布拉格散射的作用:分析研究
该研究采用线性化水波理论,考察了失谐频率对表面重力波在底部直立正弦波斑块阵列上的布拉格散射的作用。使用矩阵转移法推导出了贴片阵列情况下反射和透射系数的明确公式,每个贴片都有有限数量的波纹。当两个以上的贴片超过一定的截止频率时,就会出现布拉格共振,这与超临界解谐相对应,而在截止频率以下则会出现单调递增的趋势,这被称为亚临界解谐。两个连续谐波峰之间的次谐波峰数量比补片数量少一个。随着贴片数量的增加,零反射的数量也会增加,而次谐波峰的数量则与贴片内波纹的数量无关。水下正弦波斑块的波纹长度和谐振器长度决定了谐振器和波纹斑块内波反射的高度共振/波捕获特征。表面位移的时域模拟揭示了波脉冲在浸没补丁上的散射和分裂。
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来源期刊
Applied Ocean Research
Applied Ocean Research 地学-工程:大洋
CiteScore
8.70
自引率
7.00%
发文量
316
审稿时长
59 days
期刊介绍: The aim of Applied Ocean Research is to encourage the submission of papers that advance the state of knowledge in a range of topics relevant to ocean engineering.
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