Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean
The kinetic description of baroclinic Rossby waves in multi-layer model ocean is analysed. Explicit analytical expressions for the coupling coefficients describing energy exchange intensity between different modes are obtained and their main properties are established for the three-layer model....
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2003-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/10/385/2003/npg-10-385-2003.pdf |
| _version_ | 1818875268200136704 |
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| author | T. Soomere |
| author_facet | T. Soomere |
| author_sort | T. Soomere |
| collection | DOAJ |
| description | The kinetic description of baroclinic Rossby waves in multi-layer model ocean is analysed. Explicit analytical expressions for the coupling coefficients describing energy exchange intensity between different modes are obtained and their main properties are established for the three-layer model. It is demonstrated that several types of interactions vanish in the case of simple vertical structures of the ocean, e.g. when all layers have equal depth. These cases correspond to a zero component of the eigenvectors of the potential vorticity equations. The kinetic equation always possesses a fully barotropic solution. If energy is concentrated in the baroclinic modes, the barotropic mode will necessarily be generated. Motion systems consisting of a superposition of the barotropic and a baroclinic mode always transfer energy to other baroclinic modes. |
| first_indexed | 2024-12-19T13:23:48Z |
| format | Article |
| id | doaj.art-583688cedeca438c9615b67aac01fb0c |
| institution | Directory Open Access Journal |
| issn | 1023-5809 1607-7946 |
| language | English |
| last_indexed | 2024-12-19T13:23:48Z |
| publishDate | 2003-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Nonlinear Processes in Geophysics |
| spelling | doaj.art-583688cedeca438c9615b67aac01fb0c2022-12-21T20:19:38ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462003-01-01104/5385396Coupling coefficients and kinetic equation for Rossby waves in multi-layer oceanT. SoomereThe kinetic description of baroclinic Rossby waves in multi-layer model ocean is analysed. Explicit analytical expressions for the coupling coefficients describing energy exchange intensity between different modes are obtained and their main properties are established for the three-layer model. It is demonstrated that several types of interactions vanish in the case of simple vertical structures of the ocean, e.g. when all layers have equal depth. These cases correspond to a zero component of the eigenvectors of the potential vorticity equations. The kinetic equation always possesses a fully barotropic solution. If energy is concentrated in the baroclinic modes, the barotropic mode will necessarily be generated. Motion systems consisting of a superposition of the barotropic and a baroclinic mode always transfer energy to other baroclinic modes.http://www.nonlin-processes-geophys.net/10/385/2003/npg-10-385-2003.pdf |
| spellingShingle | T. Soomere Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean Nonlinear Processes in Geophysics |
| title | Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean |
| title_full | Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean |
| title_fullStr | Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean |
| title_full_unstemmed | Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean |
| title_short | Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean |
| title_sort | coupling coefficients and kinetic equation for rossby waves in multi layer ocean |
| url | http://www.nonlin-processes-geophys.net/10/385/2003/npg-10-385-2003.pdf |
| work_keys_str_mv | AT tsoomere couplingcoefficientsandkineticequationforrossbywavesinmultilayerocean |