Asymptotic approach for the nonlinear equatorial long wave interactions
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1742-6596/285/1/012020 http://hdl.handle.net/11449/72615 |
Resumo: | In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the fast to slow time ratio. The values given to the external parameters are consistent with those computed using typical values of the perturbations in tropical dynamics. Asymptotically, the model converge toward the long wave model. Thus, it is possible to go toward the long wave approximation through intermediate realizable states. With this approach, the resonant nonlinear wave interactions are studied. To simplify, the reduced dynamics of a single resonant triad is used for some selected equatorial trios. It was verified by both theoretical and numerical results that the nonlinear energy exchange period increases smoothly as we move toward the long wave approach. The magnitude of the energy exchanges is also modified, but in this case depends on the particular triad used and also on the initial energy partition among the triad components. Some implications of the results for the tropical dynamics are disccussed. In particular, we discuss the implications of the results for El Nĩo and the Madden-Julian in connection with other scales of time and spatial variability. © Published under licence by IOP Publishing Ltd. |
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Asymptotic approach for the nonlinear equatorial long wave interactionsEnergy exchangesInitial energyLong wave equationsLong wave modelsLong wavesLong-wave approximationNon-linear wave interactionsNonlinear energy exchangeNumerical resultsReduced dynamicsShallow water equationsSpatial scaleSpatial variabilityTime ratioTropical dynamicsTypical valuesDynamicsEquations of motionNonlinear equationsWave equationsIn the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the fast to slow time ratio. The values given to the external parameters are consistent with those computed using typical values of the perturbations in tropical dynamics. Asymptotically, the model converge toward the long wave model. Thus, it is possible to go toward the long wave approximation through intermediate realizable states. With this approach, the resonant nonlinear wave interactions are studied. To simplify, the reduced dynamics of a single resonant triad is used for some selected equatorial trios. It was verified by both theoretical and numerical results that the nonlinear energy exchange period increases smoothly as we move toward the long wave approach. The magnitude of the energy exchanges is also modified, but in this case depends on the particular triad used and also on the initial energy partition among the triad components. Some implications of the results for the tropical dynamics are disccussed. In particular, we discuss the implications of the results for El Nĩo and the Madden-Julian in connection with other scales of time and spatial variability. © Published under licence by IOP Publishing Ltd.Department of Atmospheric Sciences Institute of Astronomy, Geophysics and Atmospheric Sciences University of São Paulo, Rua do Matão, 1226, São Paulo, 05508-090National Laboratory for Scientific Computing, Av. Getúlio Vargas 333, Quitandinha, Petrôpolis, 25651-075 Rio de JaneiroInstitute for Theoretical Physics Sao Paulo State University, Rua Dr. Bento Teobaldo Ferraz, 371, Barra Funda - Sao Paulo, 01140-070Earth System Science Center Cachoeira Paulista, Rodovia Presidente Dutra Km 40, Sao Paulo, 12630-000Institute for Theoretical Physics Sao Paulo State University, Rua Dr. Bento Teobaldo Ferraz, 371, Barra Funda - Sao Paulo, 01140-070Universidade de São Paulo (USP)National Laboratory for Scientific ComputingUniversidade Estadual Paulista (Unesp)Cachoeira PaulistaGutierrez, Enver RamirezDias, Pedro L SilvaRaupp, Carlos [UNESP]2014-05-27T11:25:58Z2014-05-27T11:25:58Z2011-08-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.1088/1742-6596/285/1/012020Journal of Physics: Conference Series, v. 285, n. 1, 2011.1742-65881742-6596http://hdl.handle.net/11449/7261510.1088/1742-6596/285/1/0120202-s2.0-80052051515Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Series0,2410,241info:eu-repo/semantics/openAccess2021-10-23T21:41:37Zoai:repositorio.unesp.br:11449/72615Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:37:26.274088Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Asymptotic approach for the nonlinear equatorial long wave interactions |
title |
Asymptotic approach for the nonlinear equatorial long wave interactions |
spellingShingle |
Asymptotic approach for the nonlinear equatorial long wave interactions Gutierrez, Enver Ramirez Energy exchanges Initial energy Long wave equations Long wave models Long waves Long-wave approximation Non-linear wave interactions Nonlinear energy exchange Numerical results Reduced dynamics Shallow water equations Spatial scale Spatial variability Time ratio Tropical dynamics Typical values Dynamics Equations of motion Nonlinear equations Wave equations |
title_short |
Asymptotic approach for the nonlinear equatorial long wave interactions |
title_full |
Asymptotic approach for the nonlinear equatorial long wave interactions |
title_fullStr |
Asymptotic approach for the nonlinear equatorial long wave interactions |
title_full_unstemmed |
Asymptotic approach for the nonlinear equatorial long wave interactions |
title_sort |
Asymptotic approach for the nonlinear equatorial long wave interactions |
author |
Gutierrez, Enver Ramirez |
author_facet |
Gutierrez, Enver Ramirez Dias, Pedro L Silva Raupp, Carlos [UNESP] |
author_role |
author |
author2 |
Dias, Pedro L Silva Raupp, Carlos [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) National Laboratory for Scientific Computing Universidade Estadual Paulista (Unesp) Cachoeira Paulista |
dc.contributor.author.fl_str_mv |
Gutierrez, Enver Ramirez Dias, Pedro L Silva Raupp, Carlos [UNESP] |
dc.subject.por.fl_str_mv |
Energy exchanges Initial energy Long wave equations Long wave models Long waves Long-wave approximation Non-linear wave interactions Nonlinear energy exchange Numerical results Reduced dynamics Shallow water equations Spatial scale Spatial variability Time ratio Tropical dynamics Typical values Dynamics Equations of motion Nonlinear equations Wave equations |
topic |
Energy exchanges Initial energy Long wave equations Long wave models Long waves Long-wave approximation Non-linear wave interactions Nonlinear energy exchange Numerical results Reduced dynamics Shallow water equations Spatial scale Spatial variability Time ratio Tropical dynamics Typical values Dynamics Equations of motion Nonlinear equations Wave equations |
description |
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the fast to slow time ratio. The values given to the external parameters are consistent with those computed using typical values of the perturbations in tropical dynamics. Asymptotically, the model converge toward the long wave model. Thus, it is possible to go toward the long wave approximation through intermediate realizable states. With this approach, the resonant nonlinear wave interactions are studied. To simplify, the reduced dynamics of a single resonant triad is used for some selected equatorial trios. It was verified by both theoretical and numerical results that the nonlinear energy exchange period increases smoothly as we move toward the long wave approach. The magnitude of the energy exchanges is also modified, but in this case depends on the particular triad used and also on the initial energy partition among the triad components. Some implications of the results for the tropical dynamics are disccussed. In particular, we discuss the implications of the results for El Nĩo and the Madden-Julian in connection with other scales of time and spatial variability. © Published under licence by IOP Publishing Ltd. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-08-30 2014-05-27T11:25:58Z 2014-05-27T11:25:58Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1742-6596/285/1/012020 Journal of Physics: Conference Series, v. 285, n. 1, 2011. 1742-6588 1742-6596 http://hdl.handle.net/11449/72615 10.1088/1742-6596/285/1/012020 2-s2.0-80052051515 |
url |
http://dx.doi.org/10.1088/1742-6596/285/1/012020 http://hdl.handle.net/11449/72615 |
identifier_str_mv |
Journal of Physics: Conference Series, v. 285, n. 1, 2011. 1742-6588 1742-6596 10.1088/1742-6596/285/1/012020 2-s2.0-80052051515 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics: Conference Series 0,241 0,241 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128836193222656 |