Vortex tori above bottom perturbations in a rotating fluid
Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zyryanov, V. N. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Doklady physics - SP MAIK Nauka/Interperiodica, 1998, 58(2013), 5 vom: Mai, Seite 186-190 |
|---|---|
| Übergeordnetes Werk: |
volume:58 ; year:2013 ; number:5 ; month:05 ; pages:186-190 |
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| DOI / URN: |
10.1134/S1028335813050121 |
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OLC2040657800 |
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| 520 | |a Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. | ||
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10.1134/S1028335813050121 doi (DE-627)OLC2040657800 (DE-He213)S1028335813050121-p DE-627 ger DE-627 rakwb eng 530 VZ Zyryanov, V. N. verfasserin aut Vortex tori above bottom perturbations in a rotating fluid 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. Vortex Spectral Problem Vertical Velocity Component Rossby Number Toroidal Vortex Ryzhov, E. A. aut Koshel’, K. V. aut Enthalten in Doklady physics SP MAIK Nauka/Interperiodica, 1998 58(2013), 5 vom: Mai, Seite 186-190 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:58 year:2013 number:5 month:05 pages:186-190 https://doi.org/10.1134/S1028335813050121 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 58 2013 5 05 186-190 |
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10.1134/S1028335813050121 doi (DE-627)OLC2040657800 (DE-He213)S1028335813050121-p DE-627 ger DE-627 rakwb eng 530 VZ Zyryanov, V. N. verfasserin aut Vortex tori above bottom perturbations in a rotating fluid 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. Vortex Spectral Problem Vertical Velocity Component Rossby Number Toroidal Vortex Ryzhov, E. A. aut Koshel’, K. V. aut Enthalten in Doklady physics SP MAIK Nauka/Interperiodica, 1998 58(2013), 5 vom: Mai, Seite 186-190 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:58 year:2013 number:5 month:05 pages:186-190 https://doi.org/10.1134/S1028335813050121 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 58 2013 5 05 186-190 |
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10.1134/S1028335813050121 doi (DE-627)OLC2040657800 (DE-He213)S1028335813050121-p DE-627 ger DE-627 rakwb eng 530 VZ Zyryanov, V. N. verfasserin aut Vortex tori above bottom perturbations in a rotating fluid 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. Vortex Spectral Problem Vertical Velocity Component Rossby Number Toroidal Vortex Ryzhov, E. A. aut Koshel’, K. V. aut Enthalten in Doklady physics SP MAIK Nauka/Interperiodica, 1998 58(2013), 5 vom: Mai, Seite 186-190 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:58 year:2013 number:5 month:05 pages:186-190 https://doi.org/10.1134/S1028335813050121 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 58 2013 5 05 186-190 |
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10.1134/S1028335813050121 doi (DE-627)OLC2040657800 (DE-He213)S1028335813050121-p DE-627 ger DE-627 rakwb eng 530 VZ Zyryanov, V. N. verfasserin aut Vortex tori above bottom perturbations in a rotating fluid 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. Vortex Spectral Problem Vertical Velocity Component Rossby Number Toroidal Vortex Ryzhov, E. A. aut Koshel’, K. V. aut Enthalten in Doklady physics SP MAIK Nauka/Interperiodica, 1998 58(2013), 5 vom: Mai, Seite 186-190 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:58 year:2013 number:5 month:05 pages:186-190 https://doi.org/10.1134/S1028335813050121 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 58 2013 5 05 186-190 |
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10.1134/S1028335813050121 doi (DE-627)OLC2040657800 (DE-He213)S1028335813050121-p DE-627 ger DE-627 rakwb eng 530 VZ Zyryanov, V. N. verfasserin aut Vortex tori above bottom perturbations in a rotating fluid 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2013 Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. Vortex Spectral Problem Vertical Velocity Component Rossby Number Toroidal Vortex Ryzhov, E. A. aut Koshel’, K. V. aut Enthalten in Doklady physics SP MAIK Nauka/Interperiodica, 1998 58(2013), 5 vom: Mai, Seite 186-190 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:58 year:2013 number:5 month:05 pages:186-190 https://doi.org/10.1134/S1028335813050121 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 58 2013 5 05 186-190 |
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Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. © Pleiades Publishing, Ltd. 2013 |
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Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. © Pleiades Publishing, Ltd. 2013 |
| abstract_unstemmed |
Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. It is known that topographic eddies are described in the quasi-geostrophic approximation; i.e., vertical velocities are considered to be negligibly small (of about the Rossby number). However, the data of observations indicate the presence of a well-mixed fluid column in the vicinity of seamounts. Description of such vertical mixing is possible only due to account of the vertical velocity component. The spectral problem for the stability of a topographic vortex over the perturbation of the bottom relief in the form of a simple cylinder and for a more complex configuration consisting of two coaxial cylinders is solved. It is shown that the eigenvalues of the spectrum are the bifurcation points of the flow, due to which secondary toroidal vortices are generated. These toroidal vortices perform intense vertical mixing of waters above seamounts in the Ocean. The method of invariant imbedding is used to solve the spectral problem. © Pleiades Publishing, Ltd. 2013 |
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Ryzhov, E. A. Koshel’, K. V. |
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241206545 |
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| doi_str |
10.1134/S1028335813050121 |
| up_date |
2024-07-04T02:51:40.431Z |
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1803615207888519168 |
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N.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Vortex tori above bottom perturbations in a rotating fluid</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this study, a model that describes one of the mechanisms of diapycnal mixing in topographic vortices above seamounts in the Ocean is presented. 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