Decay and return of internal solitary waves with rotation
Helfrich, Karl R.
MetadataShow full item record
The 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.
Author 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.
Suggested CitationPreprint: Helfrich, Karl R., "Decay and return of internal solitary waves with rotation", 2006-12-18, https://doi.org/10.1063/1.2472509, https://hdl.handle.net/1912/1553
Showing items related by title, author, creator and subject.
Grimshaw, Roger H. J.; Guo, Chuncheng; Helfrich, Karl R.; Vlasenko, Vasiliy (American Meteorological Society, 2014-04)Internal solitary waves commonly observed in the coastal ocean are often modeled by a nonlinear evolution equation of the Korteweg–de Vries type. Because these waves often propagate for long distances over several inertial ...
da Silva, Jose C. B.; Magalhaes, Jorge M.; Gerkema, Theo; Maas, Leo R. M. (The Oceanography Society, 2012-06)The off-shelf region between 16.0° and 16.5°N in the southern Red Sea is identified as a new hotspot for the occurrence of oceanic internal solitary waves. Satellite observations reveal trains of solitons that, surprisingly, ...
Xie, Xiaohui; Li, Ming; Scully, Malcolm E.; Boicourt, William C. (American Meteorological Society, 2017-07-03)Internal solitary waves are commonly observed in the coastal ocean where they are known to contribute to mass transport and turbulent mixing. While these waves are often generated by cross-isobath barotropic tidal currents, ...