Higher harmonics induced by waves propagating over a submerged obstacle in the presence of uniform current

Higher harmonics induced by waves propagating over a submerged obstacle in the presence of uniform current
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在存在均匀电流的情况下,由在水下障碍物上传播的波引起的高次谐波

DOI:
10.1007/s13344-014-0057-9
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发表时间:
2014-12
影响因子:
1.6
通讯作者:
Zou Qingping
Zou Qingping
中科院分区:
工程技术2区
文献类型:
--
作者:
Teng Bin;Teng Bin;Zou Qingping;Zou Qingping

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为研究均匀流条件下水下障碍物引起的高次谐波,基于势流理论,采用时域高阶边界元法建立了二维完全非线性数值波浪水槽。提出了一种四点法来分解在障碍物上下游传播的高次谐波和自由谐波。模型的预测是在良好的协议与实验数据的自由谐波引起的水平圆柱体在没有电流。这作为一个基准来揭示电流对高次谐波的影响。无因次自由二次谐波振幅的峰值随无电流入射波振幅的变化而相对于零电流向上游移动,随电流向下游移动。二阶分析表明,这是与圆柱体直径的第二界模波长在圆柱体的比率的谐振行为。二阶谐振位置稍微下移的相反的电流和上移的以下电流。
To investigate higher harmonics induced by a submerged obstacle in the presence of uniform current, a 2D fully nonlinear numerical wave flume (NWF) is developed by use of a time-domain higher-order boundary element method (HOBEM) based on potential flow theory. A four-point method is developed to decompose higher bound and free harmonic waves propagating upstream and downstream around the obstacle. The model predictions are in good agreement with the experimental data for free harmonics induced by a submerged horizontal cylinder in the absence of currents. This serves as a benchmark to reveal the current effects on higher harmonic waves. The peak value of non-dimensional second free harmonic amplitude is shifted upstream for the opposing current relative to that for zero current with the variation of current-free incident wave amplitude, and it is vice versa for the following current. The second-order analysis shows a resonant behavior which is related to the ratio of the cylinder diameter to the second bound mode wavelength over the cylinder. The second-order resonant position slightly downshifted for the opposing current and upshifted for the following current.
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