Theoretical and experimental investigation on nonlinear interaction among wave groups

Zhiyi Gao; Fan Wen

doi:10.1007/s00343-010-9920-6

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Theoretical and experimental investigation on nonlinear interaction among wave groups

OriginalPaper | Updated：2023-05-16

- Theoretical and experimental investigation on nonlinear interaction among wave groups
- Theoretical and experimental investigation on nonlinear interaction among wave groups
- 海洋湖沼学报（英文） 2010年28卷第6期页码：1290-1303
- Affiliations：
  
  1. Physical Oceanography Laboratory Ocean University of China
  2. National Marine Environmental Forecasting Center
- Author bio：
- Funds：
  
  Supported by the National Science Foundation of China (No. 40576007), the New Century Excellent Talent Foundation from Education Ministry of China (No. NCET-08-0509)
- DOI：10.1007/s00343-010-9920-6
  中图分类号：
- 网络首发：2010-11-10，
  
  纸质出版：2010
- Accepted：
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Theoretical and experimental investigation on nonlinear interaction among wave groups[J]. 海洋湖沼学报（英文）, 2010,28(6):1290-1303.

Gao, Z., Wen, F. Theoretical and experimental investigation on nonlinear interaction among wave groups., Chin. J. Ocean. Limnol. 28, 1290–1303 (2010). https://doi.org/10.1007/s00343-010-9920-6
Theoretical and experimental investigation on nonlinear interaction among wave groups[J]. 海洋湖沼学报（英文）, 2010,28(6):1290-1303. DOI： 10.1007/s00343-010-9920-6.

Gao, Z., Wen, F. Theoretical and experimental investigation on nonlinear interaction among wave groups., Chin. J. Ocean. Limnol. 28, 1290–1303 (2010). https://doi.org/10.1007/s00343-010-9920-6 DOI：

摘要

Abstract

Wave group is important in ocean wave theory and applications. In the past

nonlinear interaction among wave groups has been studied on the basis of the nonlinear Schrödinger equation. Using this theoretical approach

we found that the nonlinear interaction among wave groups causes asymmetry in the shape of the wave envelope (steeper in the front of the curve of the envelope). An important consequence of this asymmetry is that the highest wave in a wave group appears one individual wave length ahead of the center of the wave group. Further results show that the degree of envelope asymmetry increases with increasing spectral width and the wave steepness. This theoretical analysis has been supplemented by a systematic experimental study of wind waves. Laboratory and some open sea wave data were analyzed. The results show that the shape of the wind wave envelope of wind waves has the same asymmetry predicted by the theoretical approach. The observed degree of deformation of the envelope also increases with increasing spectral width and the wave steepness as predicted by theory. These conclusions have important ramifications for practical applications of ocean wave theory.

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