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dc.contributor.authorHelfrich, Karl R.  Concept link
dc.date.accessioned2007-04-04T13:43:08Z
dc.date.available2007-04-04T13:43:08Z
dc.date.issued2006-12-18
dc.identifier.urihttps://hdl.handle.net/1912/1553
dc.descriptionAuthor Posting. © The Author, 2007. This is the author's version of the work. It is posted here by permission of American Institute of Physics for personal use, not for redistribution. The definitive version was published in Physics of Fluids 19 (2007): 026601, doi:10.1063/1.2472509.en
dc.description.abstractThe effect of rotation on the propagation of internal solitary waves is examined. Wave evolution is followed using a new rotating extension of a fully-nonlinear, weakly nonhydrostatic theory for waves in a two-layer system. When a solitary wave solution of the non-rotating equations is used as the initial condition the wave initially decays by radiation of longer inertia-gravity waves. The radiated inertia-gravity wave always steepens, leading to the formation a secondary solitary-like wave. This decay and re-emergence process then repeats. Eventually a nearly localized wavepacket emerges. It consists of a longwave envelope and shorter, faster solitary-like waves that propagate through the envelope. The radiation from this mature state is very weak, leading to a robust, long-lived structure that may contain as much as 50% of the energy in the initial solitary wave. Interacting packets may either pass through one another, or merge to form a longer packet. The packets appear to be modulated, fully-nonlinear versions of the steadily translating quasi-cnoidal waves.en
dc.description.sponsorshipThis work was supported by a Woods Hole Oceanographic Institution Mellon Independent Study Award and ONR Grant N000140610798.en
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen
dc.relation.urihttps://doi.org/10.1063/1.2472509
dc.subjectNonlinear internal wavesen
dc.subjectSolitary wavesen
dc.subjectRotationen
dc.titleDecay and return of internal solitary waves with rotationen
dc.typePreprinten


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