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:
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/BF02842603DOI:
A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis
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.
关键词
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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