A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis

Du Tao; Fang Guo-hong; Fang Xin-hua

doi:10.1007/BF02842603

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A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis

OriginalPaper | Updated：2023-05-16

- A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis
- A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis
- 海洋湖沼学报（英文） 1999年17卷第3期页码：252-257
- Affiliations：
  
  1. Institute of Oceanology Chinese Academy of Sciences
  2. Physical Oceanography Institute Ocean University of Qingdao
- Author bio：
- Funds：
  
  Contribution No. 3589 from the Institute of Oceanology, Chinese Academy of Sciences.;Project 49676275 supported by NSFC and National Special Research Program 97-926-05-02.
- DOI：10.1007/BF02842603
  中图分类号：
- 纸质出版：1999
- Accepted：
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A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis[J]. 海洋湖沼学报（英文）, 1999,17(3):252-257.

Tao, D., Guo-hong, F. & Xin-hua, F. A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis., Chin. J. Ocean. Limnol. 17, 252–257 (1999). https://doi.org/10.1007/BF02842603
A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis[J]. 海洋湖沼学报（英文）, 1999,17(3):252-257. DOI： 10.1007/BF02842603.

Tao, D., Guo-hong, F. & Xin-hua, F. A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis., Chin. J. Ocean. Limnol. 17, 252–257 (1999). https://doi.org/10.1007/BF02842603 DOI：

摘要

Abstract

The stability

accuracy

and dispersion of a semi-implicit finite difference scheme for the numerical solution of external mode were carefully analyzed in this study. The stability analysis was implemented with the von Neumann method and proved that the scheme is unconditionally stable. Study of their accuracy showed that the finite difference equations were consistent with the differential equations with second-order accuracy. The Eulerian-Lagrangian discretization of the convective terms was also discussed. The existence of dispersion was proved to be unfavorable for the achievement of the real solution.

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Keywords

references

Casulli, V., 1990. Semi-implicit finite difference methods for the two-dimensional shallow water equations.J. Comput. Phys. 86: 56–74.

Leedetse, J. J., 1967. Aspects of a Computational Model for Long-Period Water-wave Propagation. Ph. D. Thesis. The Rand Corporation. RM-5294-PR.

Zhu Jiakum, 1985. Computational Fluid Dynamics. Science Press, Beijing, p. 38–48. (in Chinese)

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