A weakly nonlinear water wave model taking into account dispersion of wave phase velocity

Li Rui-jie; Dong-Young Lee

doi:10.1007/BF02849646

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A weakly nonlinear water wave model taking into account dispersion of wave phase velocity

OriginalPaper | Updated：2023-05-16

- A weakly nonlinear water wave model taking into account dispersion of wave phase velocity
- A weakly nonlinear water wave model taking into account dispersion of wave phase velocity
- 海洋湖沼学报（英文） 2002年20卷第2期页码：107-112
- Affiliations：
  
  1. Department of Ocean Technology Tariffic and Ocean Enginging College Hohai University
  2. Coastal and Harbor Engineering Research Centre Korea Ocean Research and Development Institute
- Author bio：
- Funds：
- DOI：10.1007/BF02849646
  中图分类号：
- 纸质出版：2002
- Accepted：
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A weakly nonlinear water wave model taking into account dispersion of wave phase velocity[J]. 海洋湖沼学报（英文）, 2002,20(2):107-112.

Rui-jie, L., Lee, DY. A weakly nonlinear water wave model taking into account dispersion of wave phase velocity., Chin. J. Ocean. Limnol. 20, 107–112 (2002). https://doi.org/10.1007/BF02849646
A weakly nonlinear water wave model taking into account dispersion of wave phase velocity[J]. 海洋湖沼学报（英文）, 2002,20(2):107-112. DOI： 10.1007/BF02849646.

Rui-jie, L., Lee, DY. A weakly nonlinear water wave model taking into account dispersion of wave phase velocity., Chin. J. Ocean. Limnol. 20, 107–112 (2002). https://doi.org/10.1007/BF02849646 DOI：

摘要

Abstract

This paper presents a weakly nonlinear water wave model using a mild slope equation and a new explicit formulation which takes into account dispersion of wave phase velocity

approximates Hedges' (1987) nonlinear dispersion relationship

and accords well with the original empirical formula. Comparison of the calculating results with those obtained from the experimental data and those obtained from linear wave theory showed that the present water wave model considering the dispersion of phase velocity is rational and in good agreement with experiment data.

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references

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Booij, N., 1981, Gravity Waves on Water with Non-uniform Depth And Current. Ph. D. Thesis Techn. Univ. of Delft, 130p.

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Li Ruijie, Wang Houjie, 1999a. Nonlinear Effect of Wave Propagation in Shallow Water.China Ocean Engineering 1: 109–114.

Li Ruijie, Wang Houjie, 1999b. A Modified Form of Mild— slope Equation with Weakly Nonlinear Effect.China Ocean Engineering 3: 327–333.

Li Ruijie, Wang Houjie, Zhang Pingping, 1999. Application of A Nonlinear Explicit Dispersion Relation to Shallow-water Wave Transformation.Transactions of Oceanology and Limnology 4: 1–7. (in Chinese)

Walker, J. R., 1976. Refraction of Finite-height And Breaking Waves.Proc. 15th. Int. Conf. On Coastal Engrg. Hawaii,1: 507–524.

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Zhao, Y., Anastasiou, K., 1993. Economical Random Wave Propagation Modelling Taking into Account Nonlinear Amplitude Dispersion.Coastal Engineering 20: 59–83.

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