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dc.contributor.author
Rodas, Claudio José Francisco
dc.contributor.author
Pulido, Manuel Arturo
dc.date.available
2017-08-07T19:47:34Z
dc.date.issued
2014-11
dc.identifier.citation
Rodas, Claudio José Francisco; Pulido, Manuel Arturo; The breaking of transience inertio-gravity waves in a shear flow using the Gaussian beam approximation.; Cambridge University Press; Journal of Fluid Mechanics; 759; 11-2014; 676-700
dc.identifier.issn
0022-1120
dc.identifier.uri
http://hdl.handle.net/11336/21987
dc.description.abstract
The propagation of transient inertio-gravity waves in a shear flow is examined using the Gaussian beam formulation. This formulation assumes Gaussian wavepackets in the spectral space and uses a second-order Taylor expansion of the phase of the wave field. In this sense, the Gaussian beam formulation is also an asymptotic approximation like spatial ray tracing; however, the first one is free of the singularities found in spatial ray tracing at caustics. Therefore, the Gaussian beam formulation permits the examination of the evolution of transient inertio-gravity wavepackets from the initial time up to the destabilization of the flow close to the critical levels. We show that the transience favours the development of the dynamical instability relative to the convective instability. In particular, there is a well-defined threshold for which small initial amplitude transient inertio-gravity waves never reach the convective instability criterion. This threshold does not exist for steady-state inertio-gravity waves for which the wave amplitude increases indefinitely towards the critical level. The Gaussian beam formulation is shown to be a powerful tool to treat analytically several aspects of inertio-gravity waves in simple shear flows. In more realistic shear flows, its numerical implementation is readily available and the required numerical calculations have a low computational cost.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Geophysical And Geological Flows
dc.subject
Internal Waves
dc.subject
Waves in Rotating Fluids
dc.subject.classification
Otras Ciencias Físicas
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
The breaking of transience inertio-gravity waves in a shear flow using the Gaussian beam approximation.
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-27T12:53:52Z
dc.journal.volume
759
dc.journal.pagination
676-700
dc.journal.pais
Reino Unido
dc.journal.ciudad
Cambridge
dc.description.fil
Fil: Rodas, Claudio José Francisco. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Departamento de Física; Argentina
dc.description.fil
Fil: Pulido, Manuel Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste. Instituto de Modelado e Innovación Tecnológica. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura. Instituto de Modelado e Innovación Tecnológica; Argentina
dc.journal.title
Journal of Fluid Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/breaking-of-transient-inertiogravity-waves-in-a-shear-flow-using-the-gaussian-beam-approximation/8438FF2E84D88AB98FA8F79E27B11A1C
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/jfm.2014.592