DC Field | Value | Language |
---|---|---|
dc.contributor.author | Barros, Ricardo | ko |
dc.contributor.author | Choi, Woo Young | ko |
dc.date.accessioned | 2019-04-15T14:50:34Z | - |
dc.date.available | 2019-04-15T14:50:34Z | - |
dc.date.created | 2013-12-27 | - |
dc.date.created | 2013-12-27 | - |
dc.date.issued | 2013-12 | - |
dc.identifier.citation | PHYSICA D-NONLINEAR PHENOMENA, v.264, pp.27 - 34 | - |
dc.identifier.issn | 0167-2789 | - |
dc.identifier.uri | http://hdl.handle.net/10203/254421 | - |
dc.description.abstract | To study the evolution of two-dimensional large amplitude internal waves in a two-layer system with variable bottom topography, a new asymptotic model is derived. The model can be obtained from the original Euler equations for weakly rotational flows under the long-wave approximation, without making any smallness assumption on the wave amplitude, and it is asymptotically equivalent to the strongly nonlinear model proposed by Choi and Camassa (1999) [3]. This new set of equations extends the regularized model for one-dimensional waves proposed by Choi et al. (2009) [30], known to be free from shear instability for a wide range of physical parameters. The two-dimensional generalization exhibits new terms in the equations, related to rotational effects of the flow, and possesses a conservation law for the vertical vorticity. Furthermore, it is proved that if this vorticity is initially zero everywhere in space, then it will remain so for all time. This property - in clear contrast with the original strongly nonlinear model formulated in terms of depth-averaged velocity fields - allows us to simplify the model by focusing on the case when the velocity fields involved by large amplitude waves are irrotational. Weakly two-dimensional and weakly nonlinear limits are then discussed. Finally, after investigating the shear stability of the regularized model for flat bottom, the effect of slowly-varying bottom topography is included in the model. (c) 2013 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | AMPLITUDE LONG WAVES | - |
dc.subject | SOLITARY WAVES | - |
dc.subject | BOUSSINESQ EQUATIONS | - |
dc.subject | INTERFACIAL WAVES | - |
dc.subject | DISPERSIVE MEDIA | - |
dc.subject | 2-FLUID SYSTEM | - |
dc.subject | 2-LAYER FLOWS | - |
dc.subject | SHALLOW-WATER | - |
dc.subject | GRAVITY-WAVES | - |
dc.subject | FREE-SURFACE | - |
dc.title | On regularizing the strongly nonlinear model for two-dimensional internal waves | - |
dc.type | Article | - |
dc.identifier.wosid | 000327925500003 | - |
dc.identifier.scopusid | 2-s2.0-84884773357 | - |
dc.type.rims | ART | - |
dc.citation.volume | 264 | - |
dc.citation.beginningpage | 27 | - |
dc.citation.endingpage | 34 | - |
dc.citation.publicationname | PHYSICA D-NONLINEAR PHENOMENA | - |
dc.identifier.doi | 10.1016/j.physd.2013.08.010 | - |
dc.contributor.nonIdAuthor | Barros, Ricardo | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Internal waves | - |
dc.subject.keywordAuthor | Strongly nonlinear model | - |
dc.subject.keywordAuthor | Regularization | - |
dc.subject.keywordPlus | AMPLITUDE LONG WAVES | - |
dc.subject.keywordPlus | SOLITARY WAVES | - |
dc.subject.keywordPlus | BOUSSINESQ EQUATIONS | - |
dc.subject.keywordPlus | INTERFACIAL WAVES | - |
dc.subject.keywordPlus | DISPERSIVE MEDIA | - |
dc.subject.keywordPlus | 2-FLUID SYSTEM | - |
dc.subject.keywordPlus | 2-LAYER FLOWS | - |
dc.subject.keywordPlus | SHALLOW-WATER | - |
dc.subject.keywordPlus | GRAVITY-WAVES | - |
dc.subject.keywordPlus | FREE-SURFACE | - |
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