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Chinese Journal of Oceanology and Limnology

, Volume 17, Issue 3, pp 252–257 | Cite as

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
Article
  • 28 Downloads

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.

Key words

stability analysis external mode semi-implicit finite difference scheme 

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References

  1. Casulli, V., 1990. Semi-implicit finite difference methods for the two-dimensional shallow water equations.J. Comput. Phys. 86: 56–74.CrossRefGoogle Scholar
  2. Leedetse, J. J., 1967. Aspects of a Computational Model for Long-Period Water-wave Propagation. Ph. D. Thesis. The Rand Corporation. RM-5294-PR.Google Scholar
  3. Zhu Jiakum, 1985. Computational Fluid Dynamics. Science Press, Beijing, p. 38–48. (in Chinese)Google Scholar

Copyright information

© Science Press 1999

Authors and Affiliations

  • Du Tao
    • 1
  • Fang Guo-hong
    • 1
  • Fang Xin-hua
    • 2
  1. 1.Institute of OceanologyChinese Academy of SciencesQingdaoChina
  2. 2.Physical Oceanography InstituteOcean University of QingdaoQingdaoChina

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