Nonlinear stability of baroclinic flows over topography
A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenum...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Frederiksen, J. S. [verfasserIn] |
|---|
| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Übergeordnetes Werk: |
Enthalten in: Geophysical & astrophysical fluid dynamics - London [u.a.] : Taylor and Francis, 1977, 57(1991), 1-4 vom: 01. Juni, Seite 85-97 |
|---|---|
| Übergeordnetes Werk: |
number:1-4 ; volume:57 ; year:1991 ; month:06 ; day:01 ; pages:85-97 |
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| DOI / URN: |
10.1080/03091929108225229 |
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| 520 | |a A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. | ||
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10.1080/03091929108225229 doi (DE-627)NLEJ252927044 (TFO)752342881 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear stability of baroclinic flows over topography 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 57(1991), 1-4 vom: 01. Juni, Seite 85-97 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:57 year:1991 month:06 day:01 pages:85-97 https://www.tib.eu/de/suchen/id/tandf%3Ac496e0001cf8d087e5bc1602dc139c0222158564 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 57 1991 6 01 85-97 |
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10.1080/03091929108225229 doi (DE-627)NLEJ252927044 (TFO)752342881 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear stability of baroclinic flows over topography 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 57(1991), 1-4 vom: 01. Juni, Seite 85-97 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:57 year:1991 month:06 day:01 pages:85-97 https://www.tib.eu/de/suchen/id/tandf%3Ac496e0001cf8d087e5bc1602dc139c0222158564 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 57 1991 6 01 85-97 |
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10.1080/03091929108225229 doi (DE-627)NLEJ252927044 (TFO)752342881 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear stability of baroclinic flows over topography 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 57(1991), 1-4 vom: 01. Juni, Seite 85-97 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:57 year:1991 month:06 day:01 pages:85-97 https://www.tib.eu/de/suchen/id/tandf%3Ac496e0001cf8d087e5bc1602dc139c0222158564 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 57 1991 6 01 85-97 |
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10.1080/03091929108225229 doi (DE-627)NLEJ252927044 (TFO)752342881 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear stability of baroclinic flows over topography 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 57(1991), 1-4 vom: 01. Juni, Seite 85-97 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:57 year:1991 month:06 day:01 pages:85-97 https://www.tib.eu/de/suchen/id/tandf%3Ac496e0001cf8d087e5bc1602dc139c0222158564 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 57 1991 6 01 85-97 |
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10.1080/03091929108225229 doi (DE-627)NLEJ252927044 (TFO)752342881 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear stability of baroclinic flows over topography 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 57(1991), 1-4 vom: 01. Juni, Seite 85-97 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:57 year:1991 month:06 day:01 pages:85-97 https://www.tib.eu/de/suchen/id/tandf%3Ac496e0001cf8d087e5bc1602dc139c0222158564 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 57 1991 6 01 85-97 |
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A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. |
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A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. |
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A new nonlinear stability criterion is derived for baroclinic flows over topography in spherical geometry. The stability of a wide class of exact three-dimensional nonlinear steady state solutions subject to arbitrary disturbances is established. The resonance condition, at the highest total wavenumber, for the steady state solutions and the stability criteria for baroclinic flow in the absence of topography provide the boundaries of the regions of stability in the presence of topography. The analogous results for flow on periodic or infinite beta planes incorporating non-orthogonal function large scale flows are also discussed. |
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