Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry

Bai Yefei; Song Jinbao

doi:10.1007/BF02842847

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Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry

OriginalPaper | Updated：2023-05-16

- Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry
- Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry
- 海洋湖沼学报（英文） 2006年24卷第4期页码：338-344
- Affiliations：
  
  1. Institute of Oceanology Chinese Academy of Sciences
  2. Graduate School of the Chinese Academy of Sciences
- Author bio：
- Funds：
  
  Sponsored by Knowledge Innovation Program of Chinese Academy of Sciences (CAS) and the project under the corporation of Institute of Oceanology, CAS and the China National Offshore Oil Corporation
- DOI：10.1007/BF02842847
  中图分类号：
- 网络首发：2013-01-31，
  
  纸质出版：2006
- Accepted：
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Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry[J]. 海洋湖沼学报（英文）, 2006,24(4):338-344.

Yefei, B., Jinbao, S. Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry., Chin. J. Ocean. Limnol. 24, 338–344 (2006). https://doi.org/10.1007/BF02842847
Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry[J]. 海洋湖沼学报（英文）, 2006,24(4):338-344. DOI： 10.1007/BF02842847.

Yefei, B., Jinbao, S. Modification on Lynett and Liu’s model for internal solitary wave propagation over variable bathymetry., Chin. J. Ocean. Limnol. 24, 338–344 (2006). https://doi.org/10.1007/BF02842847 DOI：

摘要

Abstract

A two-dimensional

depth-integrated model proposed by Lynett and Liu (2002) was checked carefully

and several misprints in the model were corrected after detailed examination on both the theory and the numerical program. Several comparisons were made on wave profile

system energy and maximum wave amplitude. It is noted that the modified model can simulate the propagation of the internal solitary waves over variable bathymetry more reasonably to a certain degree

and the wave profiles obtained based on the modified model can better fit the experiment data reported by Helfrich (1992) than those from original model.

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references

Benjamin, T. B., 1966. Internal waves of finite amplitude and permanent form.Journal of Fluid Mechanics 25: 241–270.

Lee, C. Y. and R. C. Beardsley, 1974. The generation of long nonlinear internal waves in a weakly stratified shear flow.Journal of Geophysical Research 79: 453–462.

Farmer, D. M., 1978. Observations of long nonlinear internal waves in a lake.Journal of Physical Oceanography 8: 63–73.

Maxworthy, T., 1979. A note on the internal solitary waves produced by tidal flow over a three-dimensional ridge.Journal of Geophysical Research 84: 338–346.

Apel, J. R., J. R. Holbrook, A. K. Liu and J. Tsai, 1985. The Sulu Sea internal soliton experiment.Journal of Physical Oceanography 15: 125–1651.

Liu, A. K., 1988. Analysis of nonlinear internal waves in the New York Bight.Journal of Geophysical Research 93: 12317–12329.

Pierini, S., 1989. A model for the Alboran Sea internal solitary waves.Journal of Physical Oceanography 19, 755–772.

Patrick J. Lynett and Philip L. F. Liu, 2002. A two-dimensional, depth-integrated model for internal wave propagation over variable bathymetry.Wave Motion 36: 221–240.

Helfrich, K. R., 1992. Internal solitary wave breaking and run-up on a uniform slope.Journal of Fluid Mechanics 243: 133–154.

Sverdrup, H. U., M. W. Johnson and R. H. Fleming, 1942.The Oceans: Their Physics, Chemistry, and General Biology, Prentice-Hall, Inc., p. 585–588.

Wooyoung Choi and Roberto Camassa, 1999. Fully nonlinear internal waves in a two-fluid system.Journal of Fluid Mech. 396: 1–36.

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