Resonant and near-resonant internal wave interactions
Lvov, Yuri V.
Polzin, Kurt L.
MetadataShow full item record
The spectral energy density of the internal waves in the open ocean is considered. The Garrett and Munk spectrum and the resonant kinetic equation are used as the main tools of the study. Evaluations of a resonant kinetic equation that suggest the slow time evolution of the Garrett and Munk spectrum is not in fact slow are reported. Instead, nonlinear transfers lead to evolution time scales that are smaller than one wave period at high vertical wavenumber. Such values of the transfer rates are inconsistent with the viewpoint expressed in papers by C. H. McComas and P. Müller, and by P. Müller et al., which regards the Garrett and Munk spectrum as an approximate stationary state of the resonant kinetic equation. It also puts the self-consistency of a resonant kinetic equation at a serious risk. The possible reasons for and resolutions of this paradox are explored. Inclusion of near-resonant interactions decreases the rate at which the spectrum evolves. Consequently, this inclusion shows a tendency of improving of self-consistency of the kinetic equation approach.
Author Posting. © American Meteorological Society, 2012. This article is posted here by permission of American Meteorological Society for personal use, not for redistribution. The definitive version was published in Journal of Physical Oceanography 42 (2012): 669–691, doi:10.1175/2011JPO4129.1.
Showing items related by title, author, creator and subject.
Synthetic Aperture Radar observations of resonantly generated internal solitary waves at Race Point Channel (Cape Cod) da Silva, Jose C. B.; Helfrich, Karl R. (American Geophysical Union, 2008-11-20)Synthetic Aperture Radar images revealed the two-dimensional propagation characteristics of short-period internal solitary waves in Race Point Channel in Massachusetts Bay. The images and in situ measurements of the flow ...
New broadband methods for resonance classification and high-resolution imagery of fish with swimbladders using a modified commercial broadband echosounder Stanton, Timothy K.; Chu, Dezhang; Jech, J. Michael; Irish, James D. (Oxford University Press, 2010-01-05)A commercial acoustic system, originally designed for seafloor applications, has been adapted for studying fish with swimbladders. The towed system contains broadband acoustic channels collectively spanning the frequency ...
Annual and semiannual cycle of equatorial Atlantic circulation associated with basin-mode resonance Brandt, Peter; Claus, Martin; Greatbatch, Richard; Kopte, Robert; Toole, John M.; Johns, William E.; Böning, Claus W. (American Meteorological Society, 2016-10-05)Seasonal variability of the tropical Atlantic circulation is dominated by the annual cycle, but semiannual variability is also pronounced, despite weak forcing at that period. This study uses multiyear, full-depth velocity ...