Leaky Rigid Lid: New Dissipative Modes in the Troposphere
An effective boundary condition is derived for the top of the troposphere, based on a wave radiation condition at the tropopause. This boundary condition, which can be formulated as a pseudodifferential equation, leads to new vertical dissipative modes. These modes can be computed explicitly in the...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Meteorological Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/87991 https://orcid.org/0000-0002-8828-5930 |
| _version_ | 1826209988313350144 |
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| author | Rosales, Rodolfo R. Tabak, Esteban G. Chumakova, Lyubov |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Rosales, Rodolfo R. Tabak, Esteban G. Chumakova, Lyubov |
| author_sort | Rosales, Rodolfo R. |
| collection | MIT |
| description | An effective boundary condition is derived for the top of the troposphere, based on a wave radiation condition at the tropopause. This boundary condition, which can be formulated as a pseudodifferential equation, leads to new vertical dissipative modes. These modes can be computed explicitly in the classical setup of a hydrostatic, nonrotating atmosphere with a piecewise constant Brunt–Vaisala frequency.
In the limit of an infinitely strongly stratified stratosphere, these modes lose their dissipative nature and become the regular baroclinic tropospheric modes under the rigid-lid approximation. For realistic values of the stratification, the decay time scales of the first few modes for mesoscale disturbances range from an hour to a week, suggesting that the time scale for some atmospheric phenomena may be set up by the rate of energy loss through upward-propagating waves. |
| first_indexed | 2024-09-23T14:38:41Z |
| format | Article |
| id | mit-1721.1/87991 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:38:41Z |
| publishDate | 2014 |
| publisher | American Meteorological Society |
| record_format | dspace |
| spelling | mit-1721.1/879912022-10-01T21:53:10Z Leaky Rigid Lid: New Dissipative Modes in the Troposphere Rosales, Rodolfo R. Tabak, Esteban G. Chumakova, Lyubov Massachusetts Institute of Technology. Department of Mathematics Chumakova, Lyubov Rosales, Rodolfo R. An effective boundary condition is derived for the top of the troposphere, based on a wave radiation condition at the tropopause. This boundary condition, which can be formulated as a pseudodifferential equation, leads to new vertical dissipative modes. These modes can be computed explicitly in the classical setup of a hydrostatic, nonrotating atmosphere with a piecewise constant Brunt–Vaisala frequency. In the limit of an infinitely strongly stratified stratosphere, these modes lose their dissipative nature and become the regular baroclinic tropospheric modes under the rigid-lid approximation. For realistic values of the stratification, the decay time scales of the first few modes for mesoscale disturbances range from an hour to a week, suggesting that the time scale for some atmospheric phenomena may be set up by the rate of energy loss through upward-propagating waves. National Science Foundation (U.S.) (Grant NSF 0903008) National Science Foundation (U.S.) (Grant DMS 1007967) National Science Foundation (U.S.) (Grant DMS 0907955) National Science Foundation (U.S.) (Grant DMS 1115278) 2014-06-16T13:35:15Z 2014-06-16T13:35:15Z 2013-10 2012-11 Article http://purl.org/eprint/type/JournalArticle 0022-4928 1520-0469 http://hdl.handle.net/1721.1/87991 Chumakova, Lyubov G., Rodolfo R. Rosales, and Esteban G. Tabak. “Leaky Rigid Lid: New Dissipative Modes in the Troposphere.” J. Atmos. Sci. 70, no. 10 (October 2013): 3119–3127. © 2013 American Meteorological Society https://orcid.org/0000-0002-8828-5930 en_US http://dx.doi.org/10.1175/jas-d-12-065.1 Journal of the Atmospheric Sciences 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 | Rosales, Rodolfo R. Tabak, Esteban G. Chumakova, Lyubov Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title | Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title_full | Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title_fullStr | Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title_full_unstemmed | Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title_short | Leaky Rigid Lid: New Dissipative Modes in the Troposphere |
| title_sort | leaky rigid lid new dissipative modes in the troposphere |
| url | http://hdl.handle.net/1721.1/87991 https://orcid.org/0000-0002-8828-5930 |
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