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Article: Coupled triads in the dynamics of internal waves: Case study using a linearly stratified fluid

TitleCoupled triads in the dynamics of internal waves: Case study using a linearly stratified fluid
Authors
Issue Date2021
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prfluids/
Citation
Physical Review Fluids, 2021, v. 6 n. 2, p. article no. 024802 How to Cite?
AbstractIn a linearly stratified fluid, two sets of resonant triads with one member in common, hence coupled, can arise for a wide range of wave numbers where all five waves travel in the same direction. The nonlinear dynamics is investigated by deriving the evolution equations of slowly varying wave packets. The dependence of the interaction coefficients on the channel depth and the buoyancy frequency are explicitly demonstrated. Coupling may produce instabilities with growth rates bigger than those displayed by either triad in isolation. Similar properties are expected for layered fluids with shear currents. By drawing on a recent link between modulation instability and the occurrence of rogue waves, surprisingly large displacements in the interior of the fluid are thus more likely. For applications to oceanography, the interaction coefficients of the evolution equations will affect the magnitude of the actual amplitude of an internal rogue wave. Computations indicate that displacements much larger than those of surface rogue waves are possible. From a more theoretical perspective of wave resonance through the Madelung representation, special ranges of dynamical phase angles are identified for the existence of time invariants. Finally, numerical simulations of a simplified system are performed to highlight the spontaneous generation of modes due to coupling.
Persistent Identifierhttp://hdl.handle.net/10722/300253
ISSN
2020 Impact Factor: 2.537
2020 SCImago Journal Rankings: 1.244
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorPAN, Q-
dc.contributor.authorPENG, NN-
dc.contributor.authorChan, HN-
dc.contributor.authorChow, KW-
dc.date.accessioned2021-06-04T08:40:20Z-
dc.date.available2021-06-04T08:40:20Z-
dc.date.issued2021-
dc.identifier.citationPhysical Review Fluids, 2021, v. 6 n. 2, p. article no. 024802-
dc.identifier.issn2469-990X-
dc.identifier.urihttp://hdl.handle.net/10722/300253-
dc.description.abstractIn a linearly stratified fluid, two sets of resonant triads with one member in common, hence coupled, can arise for a wide range of wave numbers where all five waves travel in the same direction. The nonlinear dynamics is investigated by deriving the evolution equations of slowly varying wave packets. The dependence of the interaction coefficients on the channel depth and the buoyancy frequency are explicitly demonstrated. Coupling may produce instabilities with growth rates bigger than those displayed by either triad in isolation. Similar properties are expected for layered fluids with shear currents. By drawing on a recent link between modulation instability and the occurrence of rogue waves, surprisingly large displacements in the interior of the fluid are thus more likely. For applications to oceanography, the interaction coefficients of the evolution equations will affect the magnitude of the actual amplitude of an internal rogue wave. Computations indicate that displacements much larger than those of surface rogue waves are possible. From a more theoretical perspective of wave resonance through the Madelung representation, special ranges of dynamical phase angles are identified for the existence of time invariants. Finally, numerical simulations of a simplified system are performed to highlight the spontaneous generation of modes due to coupling.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prfluids/-
dc.relation.ispartofPhysical Review Fluids-
dc.rightsCopyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevFluids.6.024802].-
dc.titleCoupled triads in the dynamics of internal waves: Case study using a linearly stratified fluid-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevFluids.6.024802-
dc.identifier.hkuros322733-
dc.identifier.volume6-
dc.identifier.issue2-
dc.identifier.spagearticle no. 024802-
dc.identifier.epagearticle no. 024802-
dc.identifier.isiWOS:000620348300003-
dc.publisher.placeUnited States-

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