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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (3): 253-266.

• 论文 • 上一篇    下一篇

NONLINEAR ROSSBY WAVES FORCED BY TOPOGRAPHY

刘式适1, 谭本馗2   

  1. 1. Peking University, Beijing;
    2. Yunnan University, Kunming
  • 收稿日期:1987-05-19 出版日期:1988-03-18 发布日期:1988-03-18

NONLINEAR ROSSBY WAVES FORCED BY TOPOGRAPHY

Liu Shi-kuo1, Tan Ben-kui2   

  1. 1. Peking University, Beijing;
    2. Yunnan University, Kunming
  • Received:1987-05-19 Online:1988-03-18 Published:1988-03-18

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摘要： Using a barotropic semi-geostrophic model with topographic forcing the stability and solutions of the nonlinear Rossby waves are discussed. It is found that the effects of the W-E oriented topography and the N-S oriented topography on the stability and phase speed of the waves are quite different. It is also found that the nonlinear Rossby waves forced by the topography can be described by the well-known KdV equation.

关键词: manufactured solution, immersed boundary method, order of accuracy, code verification, discretization error

Abstract: Using a barotropic semi-geostrophic model with topographic forcing the stability and solutions of the nonlinear Rossby waves are discussed. It is found that the effects of the W-E oriented topography and the N-S oriented topography on the stability and phase speed of the waves are quite different. It is also found that the nonlinear Rossby waves forced by the topography can be described by the well-known KdV equation.

Key words: manufactured solution, immersed boundary method, order of accuracy, code verification, discretization error

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