Nonlinear studies on the effects of topography on baroclinic zonal flows
We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Frederiksen, J. S. [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Übergeordnetes Werk: |
Enthalten in: Geophysical & astrophysical fluid dynamics - London [u.a.] : Taylor and Francis, 1977, 59(1991), 1-4 vom: 01. Nov., Seite 57-82 |
|---|---|
| Übergeordnetes Werk: |
number:1-4 ; volume:59 ; year:1991 ; month:11 ; day:01 ; pages:57-82 |
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| DOI / URN: |
10.1080/03091929108227773 |
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| 520 | |a We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. | ||
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10.1080/03091929108227773 doi (DE-627)NLEJ25292732X (TFO)752343588 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear studies on the effects of topography on baroclinic zonal flows 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 59(1991), 1-4 vom: 01. Nov., Seite 57-82 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:59 year:1991 month:11 day:01 pages:57-82 https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 59 1991 11 01 57-82 |
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10.1080/03091929108227773 doi (DE-627)NLEJ25292732X (TFO)752343588 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear studies on the effects of topography on baroclinic zonal flows 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 59(1991), 1-4 vom: 01. Nov., Seite 57-82 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:59 year:1991 month:11 day:01 pages:57-82 https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 59 1991 11 01 57-82 |
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10.1080/03091929108227773 doi (DE-627)NLEJ25292732X (TFO)752343588 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear studies on the effects of topography on baroclinic zonal flows 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 59(1991), 1-4 vom: 01. Nov., Seite 57-82 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:59 year:1991 month:11 day:01 pages:57-82 https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 59 1991 11 01 57-82 |
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10.1080/03091929108227773 doi (DE-627)NLEJ25292732X (TFO)752343588 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear studies on the effects of topography on baroclinic zonal flows 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 59(1991), 1-4 vom: 01. Nov., Seite 57-82 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:59 year:1991 month:11 day:01 pages:57-82 https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 59 1991 11 01 57-82 |
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10.1080/03091929108227773 doi (DE-627)NLEJ25292732X (TFO)752343588 DE-627 ger DE-627 rda eng Frederiksen, J. S. verfasserin aut Nonlinear studies on the effects of topography on baroclinic zonal flows 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. Enthalten in Geophysical & astrophysical fluid dynamics London [u.a.] : Taylor and Francis, 1977 59(1991), 1-4 vom: 01. Nov., Seite 57-82 Online-Ressource (DE-627)NLEJ25291807X (DE-600)2025363-1 (DE-576)263253732 1029-0419 nnns number:1-4 volume:59 year:1991 month:11 day:01 pages:57-82 https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895 Digitalisierung Deutschlandweit zugänglich ZDB-1-TFO GBV_NL_ARTICLE AR 1-4 59 1991 11 01 57-82 |
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nonlinear studies on the effects of topography on baroclinic zonal flows |
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Nonlinear studies on the effects of topography on baroclinic zonal flows |
| abstract |
We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. |
| abstractGer |
We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. |
| abstract_unstemmed |
We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">NLEJ25292732X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20231206143656.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">231206s2011 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/03091929108227773</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ25292732X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(TFO)752343588</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Frederiksen, J. S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Nonlinear studies on the effects of topography on baroclinic zonal flows</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2011</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We examine the generation of transient and stationary waves when baroclinic solid body rotation zonal currents flow over topography within an inviscid two-level nonlinear quasi-geostrophic model on a sphere. The equilibrium climate states resulting from different initial conditions are obtained for wide parameter ranges. The climates are obtained, not by direct integration and taking long time averages, but instead by using methods of equilibrium statistical mechanics.The effects of topography depend strongly on where, in the (U1, U3) phase space of solid body rotation components, the initial flow lies. Five regions of this phase space R1, R2, RT, RB1 and RB3 have been identified. For (U1, U3)εR1εR2 the flow is little disturbed by the topography h and is nonlinearly stable as h≡0. In the region RT, the flow would be stable if h ≡ 0. However, even in the limit h≡0, large amplitude transients are generated through topographic instability. In the regions RB1 and RB3 large amplitude transients are generated for finite h, as h≡0 and with h≡ 0 due to baroclinic instability.The numerical studies indicate the remarkable result that irrespective of the initial solid body rotation components, their climate values (〈U1〉, 〈U3〉)εR1εR2 at least as h≡0.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Geophysical & astrophysical fluid dynamics</subfield><subfield code="d">London [u.a.] : Taylor and Francis, 1977</subfield><subfield code="g">59(1991), 1-4 vom: 01. Nov., Seite 57-82</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ25291807X</subfield><subfield code="w">(DE-600)2025363-1</subfield><subfield code="w">(DE-576)263253732</subfield><subfield code="x">1029-0419</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">number:1-4</subfield><subfield code="g">volume:59</subfield><subfield code="g">year:1991</subfield><subfield code="g">month:11</subfield><subfield code="g">day:01</subfield><subfield code="g">pages:57-82</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.tib.eu/de/suchen/id/tandf%3A1277e76d1aa372ac921df891e0ca596c8544f895</subfield><subfield code="x">Digitalisierung</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-TFO</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="e">1-4</subfield><subfield code="d">59</subfield><subfield code="j">1991</subfield><subfield code="c">11</subfield><subfield code="b">01</subfield><subfield code="h">57-82</subfield></datafield></record></collection>
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