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A LAYERED NUMERICAL MODEL FOR SIMULATING THE GENERATION AND PROPAGATION OF INTERNAL TIDES OVER CONTINENTAL SLOPE II STABILITY ANALYSIS 被引量:1

A LAYERED NUMERICAL MODEL FOR SIMULATING THE GENERATION AND PROPAGATION OF INTERNAL TIDES OVER CONTINENTAL SLOPE II STABILITY ANALYSIS
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摘要 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. 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.
出处 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 1999年第3期252-257,共6页 中国海洋湖沼学报(英文版)
基金 Presentaddress:PhysicalOceanographyInstitute OceanUniversityofQingdao 2 660 0 3 .
关键词 stability analysis external mode semi IMPLICIT finite DIFFERENCE scheme stability analysis external mode semi-implicit finite difference scheme
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