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典型文献
On the Downshift of Wave Frequency for Bragg Resonance
文献摘要:
For surface gravity waves propagating over a horizontal bottom that consists of a patch of sinusoidal ripples,strong wave reflection occurs under the Bragg resonance condition.The critical wave frequency,at which the peak reflection coefficient is obtained,has been observed in both physical experiments and direct numerical simulations to be downshifted from the well-known theoretical prediction.It has long been speculated that the downshift may be attributed to higher-order rippled bottom and freee-surface boundary effects,but the intrinsic mechanism remains unclear.By a regular perturbation analysis,we derive the theoretical solution of frequency downshift due to third-order nonlinear effects of both bottom and free-surface boundaries.It is found that the bottom nonlinearity plays the dominant role in frequency downshift while the free-surface nonlinearity actually causes frequency upshift.The frequency downshift/upshift has a quadratic dependence in the bottom/free-surface steepness.Polychromatic bottom leads to a larger frequency downshift relative to the monochromatic bottom.In addition,direct numerical simulations based on the high-order spectral method are conducted to validate the present theory.The theoretical solution of frequency downshift compares well with the numerical simulations and available experimental data.
文献关键词:
作者姓名:
PENG Ji;TAO Ai-feng;FAN Jun;ZHENG Jin-hai;LIU Yu-ming
作者机构:
Key Laboratory of Ministry of Education for Coastal Disaster and Protection,Hohai University,Nanjing 210098,China;Quality Supervision Department,China Renewable Energy Engineering Institute,Beijing 100120,China;College of Harbor,Coastal and Offshore Engineering,Hohai University,Nanjing 210098,China;Department of Mechanical Engineering,Massachusetts Institute of Technology,Cambridge 02139,USA
引用格式:
[1]PENG Ji;TAO Ai-feng;FAN Jun;ZHENG Jin-hai;LIU Yu-ming-.On the Downshift of Wave Frequency for Bragg Resonance)[J].中国海洋工程(英文版),2022(01):76-85
A类:
Downshift,rippled,upshift,Polychromatic
B类:
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AB值:
0.521315
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