Tidal Conversion by Supercritical Topography
Calculations are presented of the rate of energy conversion of the barotropic tide into internal gravity waves above topography on the ocean floor. The ocean is treated as infinitely deep, and the topography consists of periodic obstructions; a Green function method is used to construct the scattere...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Meteorological Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/52561 https://orcid.org/0000-0002-7639-0194 |
| _version_ | 1826195129252184064 |
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| author | Balmforth, Neil J. Peacock, Thomas |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Balmforth, Neil J. Peacock, Thomas |
| author_sort | Balmforth, Neil J. |
| collection | MIT |
| description | Calculations are presented of the rate of energy conversion of the barotropic tide into internal gravity waves above topography on the ocean floor. The ocean is treated as infinitely deep, and the topography consists of periodic obstructions; a Green function method is used to construct the scattered wavefield. The calculations extend the previous results of Balmforth et al. for subcritical topography (wherein waves propagate along rays whose slopes exceed that of the topography everywhere), by allowing the obstacles to be arbitrarily steep or supercritical (so waves propagate at shallower angles than the topographic slopes and are scattered both up and down). A complicated pattern is found for the dependence of energy conversion on , the ratio of maximum topographic slope to wave slope, and the ratio of obstacle amplitude and separation. This results from a sequence of constructive and destructive interferences between scattered waves that has implications for computing tidal conversion rates for the global ocean. |
| first_indexed | 2024-09-23T10:07:50Z |
| format | Article |
| id | mit-1721.1/52561 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:07:50Z |
| publishDate | 2010 |
| publisher | American Meteorological Society |
| record_format | dspace |
| spelling | mit-1721.1/525612022-09-26T15:55:47Z Tidal Conversion by Supercritical Topography Balmforth, Neil J. Peacock, Thomas Massachusetts Institute of Technology. Department of Mechanical Engineering Peacock, Thomas Peacock, Thomas Calculations are presented of the rate of energy conversion of the barotropic tide into internal gravity waves above topography on the ocean floor. The ocean is treated as infinitely deep, and the topography consists of periodic obstructions; a Green function method is used to construct the scattered wavefield. The calculations extend the previous results of Balmforth et al. for subcritical topography (wherein waves propagate along rays whose slopes exceed that of the topography everywhere), by allowing the obstacles to be arbitrarily steep or supercritical (so waves propagate at shallower angles than the topographic slopes and are scattered both up and down). A complicated pattern is found for the dependence of energy conversion on , the ratio of maximum topographic slope to wave slope, and the ratio of obstacle amplitude and separation. This results from a sequence of constructive and destructive interferences between scattered waves that has implications for computing tidal conversion rates for the global ocean. National Science Foundation (Award 0645529) United States. Office of Naval Research (Grant N00014-0501-0575) 2010-03-12T21:38:47Z 2010-03-12T21:38:47Z 2009-08 2009-01 Article http://purl.org/eprint/type/JournalArticle 0022-3670 http://hdl.handle.net/1721.1/52561 Balmforth, Neil J, and Thomas Peacock. “Tidal Conversion by Supercritical Topography.” Journal of Physical Oceanography (2009): 1965-1974. © 2009 American Meteorological Society https://orcid.org/0000-0002-7639-0194 en_US http://dx.doi.org/10.1175/2009jpo4057.1 Journal of Physical Oceanography Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Meteorological Society American Meteorological Society |
| spellingShingle | Balmforth, Neil J. Peacock, Thomas Tidal Conversion by Supercritical Topography |
| title | Tidal Conversion by Supercritical Topography |
| title_full | Tidal Conversion by Supercritical Topography |
| title_fullStr | Tidal Conversion by Supercritical Topography |
| title_full_unstemmed | Tidal Conversion by Supercritical Topography |
| title_short | Tidal Conversion by Supercritical Topography |
| title_sort | tidal conversion by supercritical topography |
| url | http://hdl.handle.net/1721.1/52561 https://orcid.org/0000-0002-7639-0194 |
| work_keys_str_mv | AT balmforthneilj tidalconversionbysupercriticaltopography AT peacockthomas tidalconversionbysupercriticaltopography |