Trapping and instability of directional gravity waves in localized water currents

Detalhes bibliográficos
Autor(a) principal: Eliasson, Bengt
Data de Publicação: 2014
Outros Autores: Haas, Fernando
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103762
Resumo: The influence of localizedwater currents on the nonlinear dynamics and stability of large amplitude, statistically distributed gravity waves is investigated theoretically and numerically by means of an evolution equation for a Wigner function governing the spectrum of waves. It is shown that water waves propagating in the opposite direction of a localized current channel can be trapped in the channel, which can lead to the amplification of the wave intensity. Under certain conditions the wave intensity can be further localized due to a self-focusing (Benjamin-Feir) instability. The localized amplification of the wave intensity may increase the probability of extreme events in the form of freak waves, which have been observed in connection with ocean currents.
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spelling Eliasson, BengtHaas, Fernando2014-09-24T02:13:17Z20141539-3755http://hdl.handle.net/10183/103762000922322The influence of localizedwater currents on the nonlinear dynamics and stability of large amplitude, statistically distributed gravity waves is investigated theoretically and numerically by means of an evolution equation for a Wigner function governing the spectrum of waves. It is shown that water waves propagating in the opposite direction of a localized current channel can be trapped in the channel, which can lead to the amplification of the wave intensity. Under certain conditions the wave intensity can be further localized due to a self-focusing (Benjamin-Feir) instability. The localized amplification of the wave intensity may increase the probability of extreme events in the form of freak waves, which have been observed in connection with ocean currents.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 6 (June 2014), 063014, 7 p.Ondas gravitacionaisÁguaAnálise numéricaAnálise estatísticaInstabilidade de escoamentoTrapping and instability of directional gravity waves in localized water currentsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000922322.pdf000922322.pdfTexto completo (inglês)application/pdf429502http://www.lume.ufrgs.br/bitstream/10183/103762/1/000922322.pdf16ab138f319672bc8570ec63a7642418MD51TEXT000922322.pdf.txt000922322.pdf.txtExtracted Texttext/plain26916http://www.lume.ufrgs.br/bitstream/10183/103762/2/000922322.pdf.txteb78b86a469500c1ac40561125744987MD52THUMBNAIL000922322.pdf.jpg000922322.pdf.jpgGenerated Thumbnailimage/jpeg2189http://www.lume.ufrgs.br/bitstream/10183/103762/3/000922322.pdf.jpgb6f742fcd69d4cf9e6518292f784475aMD5310183/1037622023-07-20 03:36:17.420098oai:www.lume.ufrgs.br:10183/103762Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-07-20T06:36:17Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Trapping and instability of directional gravity waves in localized water currents
title Trapping and instability of directional gravity waves in localized water currents
spellingShingle Trapping and instability of directional gravity waves in localized water currents
Eliasson, Bengt
Ondas gravitacionais
Água
Análise numérica
Análise estatística
Instabilidade de escoamento
title_short Trapping and instability of directional gravity waves in localized water currents
title_full Trapping and instability of directional gravity waves in localized water currents
title_fullStr Trapping and instability of directional gravity waves in localized water currents
title_full_unstemmed Trapping and instability of directional gravity waves in localized water currents
title_sort Trapping and instability of directional gravity waves in localized water currents
author Eliasson, Bengt
author_facet Eliasson, Bengt
Haas, Fernando
author_role author
author2 Haas, Fernando
author2_role author
dc.contributor.author.fl_str_mv Eliasson, Bengt
Haas, Fernando
dc.subject.por.fl_str_mv Ondas gravitacionais
Água
Análise numérica
Análise estatística
Instabilidade de escoamento
topic Ondas gravitacionais
Água
Análise numérica
Análise estatística
Instabilidade de escoamento
description The influence of localizedwater currents on the nonlinear dynamics and stability of large amplitude, statistically distributed gravity waves is investigated theoretically and numerically by means of an evolution equation for a Wigner function governing the spectrum of waves. It is shown that water waves propagating in the opposite direction of a localized current channel can be trapped in the channel, which can lead to the amplification of the wave intensity. Under certain conditions the wave intensity can be further localized due to a self-focusing (Benjamin-Feir) instability. The localized amplification of the wave intensity may increase the probability of extreme events in the form of freak waves, which have been observed in connection with ocean currents.
publishDate 2014
dc.date.accessioned.fl_str_mv 2014-09-24T02:13:17Z
dc.date.issued.fl_str_mv 2014
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 89, no. 6 (June 2014), 063014, 7 p.
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