The Eliassen-Palm flux tensor
The aim of this paper it to derive general coordinate-invariant forms of the Eliassen-Palm flux tensor and thereby characterize the true geometric nature of the eddy-mean-flow interaction in hydrostatic Boussinesq rotating fluids. In the quasi-geostrophic limit previous forms of the Eliassen-Palm fl...
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| Format: | Journal article |
| Language: | English |
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2013
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| _version_ | 1826294032367616000 |
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| author | Maddison, JR Marshall, D |
| author_facet | Maddison, JR Marshall, D |
| author_sort | Maddison, JR |
| collection | OXFORD |
| description | The aim of this paper it to derive general coordinate-invariant forms of the Eliassen-Palm flux tensor and thereby characterize the true geometric nature of the eddy-mean-flow interaction in hydrostatic Boussinesq rotating fluids. In the quasi-geostrophic limit previous forms of the Eliassen-Palm flux tensor are shown to be related to each other via a gauge transformation; a general form is stated and its geometric properties are discussed. Similar methodology is applied to the hydrostatic Boussinesq Navier-Stokes equations to re-derive the residual-mean equations in a coordinate-invariant form. Thickness-weighted averaging in buoyancy coordinates is carefully described, via the definition of a volume-form-weighted average, constructed so as to commute with the covariant divergence of a vector. The procedures leading to the thickness-weight averaged equation are discussed, and forms of the Eliassen-Palm flux tensor which arise are identified. © 2013 Cambridge University Press. |
| first_indexed | 2024-03-07T03:39:22Z |
| format | Journal article |
| id | oxford-uuid:bd5ad1f6-f451-4b82-baba-d7c66e31b3f3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:39:22Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:bd5ad1f6-f451-4b82-baba-d7c66e31b3f32022-03-27T05:31:14ZThe Eliassen-Palm flux tensorJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bd5ad1f6-f451-4b82-baba-d7c66e31b3f3EnglishSymplectic Elements at Oxford2013Maddison, JRMarshall, DThe aim of this paper it to derive general coordinate-invariant forms of the Eliassen-Palm flux tensor and thereby characterize the true geometric nature of the eddy-mean-flow interaction in hydrostatic Boussinesq rotating fluids. In the quasi-geostrophic limit previous forms of the Eliassen-Palm flux tensor are shown to be related to each other via a gauge transformation; a general form is stated and its geometric properties are discussed. Similar methodology is applied to the hydrostatic Boussinesq Navier-Stokes equations to re-derive the residual-mean equations in a coordinate-invariant form. Thickness-weighted averaging in buoyancy coordinates is carefully described, via the definition of a volume-form-weighted average, constructed so as to commute with the covariant divergence of a vector. The procedures leading to the thickness-weight averaged equation are discussed, and forms of the Eliassen-Palm flux tensor which arise are identified. © 2013 Cambridge University Press. |
| spellingShingle | Maddison, JR Marshall, D The Eliassen-Palm flux tensor |
| title | The Eliassen-Palm flux tensor |
| title_full | The Eliassen-Palm flux tensor |
| title_fullStr | The Eliassen-Palm flux tensor |
| title_full_unstemmed | The Eliassen-Palm flux tensor |
| title_short | The Eliassen-Palm flux tensor |
| title_sort | eliassen palm flux tensor |
| work_keys_str_mv | AT maddisonjr theeliassenpalmfluxtensor AT marshalld theeliassenpalmfluxtensor AT maddisonjr eliassenpalmfluxtensor AT marshalld eliassenpalmfluxtensor |