Quadratic correction to the linear wave spectrum of two-dimensional random waves

Song Jin-bao; Tian Ji-wei; Lou Shun-li

doi:10.1007/BF02845179

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Quadratic correction to the linear wave spectrum of two-dimensional random waves

OriginalPaper | Updated：2023-05-16

- Quadratic correction to the linear wave spectrum of two-dimensional random waves
- Quadratic correction to the linear wave spectrum of two-dimensional random waves
- 海洋湖沼学报（英文） 1998年16卷第2期页码：137-143
- Affiliations：
  
  Physical Oceanography laboratory
- Author bio：
- Funds：
  
  Supported by the National Education Committee Foundation and China Postdoctoral Science Foundation.
- DOI：10.1007/BF02845179
  中图分类号：
- 纸质出版：1998
- Accepted：
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Quadratic correction to the linear wave spectrum of two-dimensional random waves[J]. 海洋湖沼学报（英文）, 1998,16(2):137-143.

Jin-bao, S., Ji-wei, T. & Shun-li, L. Quadratic correction to the linear wave spectrum of two-dimensional random waves., Chin. J. Ocean. Limnol. 16, 137–143 (1998). https://doi.org/10.1007/BF02845179
Quadratic correction to the linear wave spectrum of two-dimensional random waves[J]. 海洋湖沼学报（英文）, 1998,16(2):137-143. DOI： 10.1007/BF02845179.

Jin-bao, S., Ji-wei, T. & Shun-li, L. Quadratic correction to the linear wave spectrum of two-dimensional random waves., Chin. J. Ocean. Limnol. 16, 137–143 (1998). https://doi.org/10.1007/BF02845179 DOI：

摘要

Abstract

A perturbation expansion method's first three order solutions of two-dimensional random gravity waves in finite uniform depth were used as bases to derive the quadratic correction to the linear wave spectrum (i.e.

the quadratic spectrum). For infinite water depth

the expression of the quadratic spectrum given in this paper is much simpler than that of Sclavounos (1992) and Olemz and Milgram (1995).

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references

Ding Pingxing, Sun Fu, Yu Zhouwen, 1994. The second order spectrum of two-dimensional random waves.Acta Oceanologia Sinica 13(1): 23–29.

Kinsman, B., 1965. Wind Waves. Prentice-Hall. p. 336–342.

Longuet-Higgins, M. S., 1962. Resonant interactions between two trains of gravity waves.J. Fluid Mech 12: 321–332.

Ölemz, H. S., Milgram, J. H., 1995. Nonlinear energy transfer to short gravity waves in the presence of long waves.J. Fluid mech. 289: 199–226.

Sclavounos, P. D., 1992. On the quadratic effect of random gravity waves on a vertical boundary.J. Fluid Mech. 242: 475–489.

Tick, L. J., 1959. A nonlinear random model of gravity waves.J. Maths Mech. 8: 643–652.

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