Numerical calculation of dispersion relation for linear internal waves

Gang Wang; Yijun Hou; Min Lin

doi:10.1007/s00343-007-0347-7

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Numerical calculation of dispersion relation for linear internal waves

OriginalPaper | Updated：2023-05-16

- Numerical calculation of dispersion relation for linear internal waves
- Numerical calculation of dispersion relation for linear internal waves
- 海洋湖沼学报（英文） 2007年25卷第4期页码：347-353
- Affiliations：
  
  1. Institute of Oceanology Chinese Academy of Sciences
  2. Graduate School of the Chinese Academy of Sciences
  3. Department of Mathematics Ocean University of China
- Author bio：
- Funds：
  
  Supported by the Knowledge Innovation Program of the Chinese Academy of Sciences (KZCX2-YW-201).
- DOI：10.1007/s00343-007-0347-7
  中图分类号：
- 纸质出版：2007
- Accepted：
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Numerical calculation of dispersion relation for linear internal waves[J]. 海洋湖沼学报（英文）, 2007,25(4):347-353.

Wang, G., Hou, Y. & Lin, M. Numerical calculation of dispersion relation for linear internal waves., Chin. J. Ocean. Limnol. 25, 347–353 (2007). https://doi.org/10.1007/s00343-007-0347-7
Numerical calculation of dispersion relation for linear internal waves[J]. 海洋湖沼学报（英文）, 2007,25(4):347-353. DOI： 10.1007/s00343-007-0347-7.

Wang, G., Hou, Y. & Lin, M. Numerical calculation of dispersion relation for linear internal waves., Chin. J. Ocean. Limnol. 25, 347–353 (2007). https://doi.org/10.1007/s00343-007-0347-7 DOI：

摘要

Abstract

With the horizontal Coriolis terms included in motion equations and the influence of compressibility of seawater on Brunt-Väisälä frequency considered

a numerical method of calculating the dispersion relation for linear internal waves

which is an improvement of Cai and Gan (1995)

and hence Fliegel and Hunkins (1975)

had been set up. For different models (Pacific model

Atlantic model and Arctic model)

simulations using the three different methods were compared and the following conclusions were reached: (1) the influence of horizontal Coriolis terms on dispersion relation cannot be neglected and is connected with the direction of the wave celerity

the latitude

and the modes of the wave; (2) the effect of compressibility of scawater in stratification is not an important factor for the dispersion relation of linear internal wave

at least for those three models. With the improved method

the wavefunction curves for the Pacific model had also been built.

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Keywords

references

Bell, T. H., 1971. Numerical calculation of dispersion relations for internal gravity waves. Naval Research Laboratory Report No. 7 294, Washington DC. 46 pp.

Cai, S. Q. and Z. J. Gan, 1995. A numerical method of internal waves dispersion relation. Tropic Oceanology 14(1): 22–29. (in Chinese)

Dorman, J., 1962. Period equation for waves of Rayleigh type on a layered, liquid-solid half space. Bull. Seismic. Soc. Ame. 52: 389–397.

Durran, D. R. and C. Bretherton, 2004. Comments on “The Roles of the Horizontal Component of the Earth’s Angular Velocity in Nonhydrostatic Linear Models”, Journal of the Atmospheric Sciences 61: 1 982–1 986.

Fan, Z. S, and X. H. Fang, 1998a. The effect of horizontal component of rotation vector on ocean internal waves. Acta Oceanologica Sinica 20(3): 129–132. (in Chinese)

Fan, Z. S. and X. H. Fang, 1998b. An asymptotic solution of equations for oceanic internal waves under considering horizontal component of rotation vector. Acta Oceanologica Sinica 20(4): 1–8. (in Chinese)

Fan, Z. S. and X. H. Fang, 1999a. A possible mechanism of ocean fine-structure. Part I: energy and coherence. Journal of Ocean University of Qingdao 29(2): 207–241.

Fan, Z. S., X. H. Fang and Q. C. Xu, 1999. A possible mechanism of ocean fine-structure. Part II: shear and strain. Journal of Ocean University of Qingdao 29(3): 405–414.

Fan, Z. S., 2002. Research Fundamental of Ocean Interior Mixing. Ocean Press, Beijing, China. p. 79. (in Chinese)

Fliegel, M. and K. Hunkins, 1975. Internal waves dispersion calculated using the Thomson-Haskell method. Journal of Physical Oceanography. 5: 541–548.

Haskell, N. A., 1951. The dispersion of surface waves on multi-layered media. Bull. Seismic. Soc. Amer. 43: 17–34.

Kasahara, A. and J. M. Gary, 2006. Normal modes of an incompressible and stratified fluid model including the vertical and horizontal components of Coriolis force. Tellus 58(A): 368–384.

Kasahara, A., 2003. The roles of the horizontal component of the Earth’s angular velocity in nonhydrostatic linear models. Journal of the Atmospheric Sciences 60: 1 085–1 095.

Levine, M. D. and C. A. Paulson, 1985. Internal waves in the Arctic Ocean: Comparison with lower-latitude observations. Journal of Physical Oceanography. 15: 800–809.

Marshall, J., C. Hill, L. Perelman and A. Adcroft, 1997 Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling. Journal of Geophysical Research 102(C3): 5 733–5 752.

White, A. A. and R. A. Bromley, 1995: Dynamically consistent, quasihydrostatic equation for global models with a complete representation of the Coriolis force. Quart. J. Roy. Meteoro. Soc. 123: 399–418.

Yearsley, J. R., 1966. Internal waves in the Arctic Ocean. Lamont Geological Observatory Report, p. 63.

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