Nonlinear Numerical Investigation on Higher Harmonics at Lee Side of a Submerged Bar
Nonlinear Numerical Investigation on Higher Harmonics at Lee Side of a Submerged Bar
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DOI：
10.1155/2012/214897
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发表时间：
2012-04
影响因子：
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通讯作者：
D. Ning;Xiao-ling Zhuo;Lifen Chen;B. Teng
中科院分区：
文献类型：
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作者：
D. Ning;Xiao-ling Zhuo;Lifen Chen;B. Teng
基于完全非线性高阶边界元法（HOBEM）模型，在水槽中数值研究了单色波在水下物体上的分解。通过两点法区分了结构下游传播的束缚和自由高次谐波。通过与现有数据的比较，所开发的数值模型得到了很好的验证。进一步的数值实验研究了自由高次谐波与波浪非线性的关系。结果表明，对于弱非线性波浪，n次谐波振幅与入射波振幅的n次方成正比增长，而对于强非线性波浪，高次谐波自由波振幅趋于一个定值。
The decomposition of a monochromatic wave over a submerged object is investigated numerically in a flume, based on a fully nonlinear HOBEM (higher-order boundary element method) model. Bound and free higher-harmonic waves propagating downstream the structure are discriminated by means of a two-point method. The developed numerical model is verified very well by comparison with the available data. Further numerical experiments are carried out to study the relations between free higher harmonics and wave nonlinearity. It is found that the nth-harmonic wave amplitude is growing proportional to the nth power of the incoming wave amplitude for weakly nonlinear wave condition, but higher-harmonic free wave amplitudes tend to a constant value for strong nonlinear wave condition.