Solitary Rossby waves over variable relief and their stability. II - Numerical experiments

Details Solitary Rossby waves over variable relief and their stability. II - Numerical experiments Solitary Rossby waves over variable relief and their stability. II - Numerical experiments

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980dyato...4..261m&link_type=abstract

Dynamics of Atmospheres and Oceans, vol. 4, Apr. 1980, p. 261-294.

Physics

2

Barotropic Flow, Numerical Stability, Planetary Waves, Solitary Waves, Topography, Vorticity Equations, Algorithms, Atmospheric Models, Korteweg-Devries Equation, Ocean Models, Perturbation Theory, Turbulent Flow, Water Waves

Scientific paper

The barotropic quasi-geostrophic vorticity equation describing large-scale rotating flows over zonal relief supports nonlinear permanent-form solutions, namely nonlinear topographic Rossby waves. In the present paper numerical simulation is used to examine the stability of these solutions far beyond the analytical limit of infinitesimal perturbations. The solutions maintain their stability in agreement with the analytical theory, up to perturbations having intensities almost of the same order as the solutions themselves. For higher-amplitude perturbations the solutions break up and typical turbulent behavior ensues.

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