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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References
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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.
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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
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DOI: https://doi.org/10.1007/BF02842603