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

Updated：2023-05-16

- Numerical calculation of dispersion relation for linear internal waves
- Journal of Oceanology and Limnology Vol. 25, Issue 4, Pages: 347-353(2007)
- 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：
- DOI：10.1007/s00343-007-0347-7
  CLC：
- Published：2007
- Accepted：
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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：

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.

关键词

Keywords

references

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