Nonlinear disintegration of the internal tide
MetadataShow full item record
The disintegration of a first-mode internal tide into shorter solitary-like waves is considered. Since observations frequently show both tides and waves with amplitudes beyond the restrictions of weakly nonlinear theory, the evolution is studied using a fully nonlinear, weakly nonhydrostatic two-layer theory that includes rotation. In the hydrostatic limit, the governing equations have periodic, nonlinear inertia–gravity solutions that are explored as models of the nonlinear internal tide. These long waves are shown to be robust to weak nonhydrostatic effects. Numerical solutions show that the disintegration of an initial sinusoidal linear internal tide is closely linked to the presence of these nonlinear waves. The initial tide steepens due to nonlinearity and sheds energy into short solitary waves. The disintegration is halted as the longwave part of the solution settles onto a state close to one of the nonlinear hydrostatic solutions, with the short solitary waves superimposed. The degree of disintegration is a function of initial amplitude of the tide and the properties of the underlying nonlinear hydrostatic solutions, which, depending on stratification and tidal frequency, exist only for a finite range of amplitudes (or energies). There is a lower threshold below which no short solitary waves are produced. However, for initial amplitudes above another threshold, given approximately by the energy of the limiting nonlinear hydrostatic inertia–gravity wave, most of the initial tidal energy goes into solitary waves. Recent observations in the South China Sea are briefly discussed.
Author Posting. © American Meteorological Society, 2008. 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 38 (2008): 686-701, doi:10.1175/2007JPO3826.1.
Showing items related by title, author, creator and subject.
International marine science research projects : second inventory of international projects at Sea Grant institutions, 1990 Fenwick, Judith; Ross, David A.; Schramm, Cynthia T. (Woods Hole Oceanographic Institution, 1991-03)This inventory of marine science projects at Sea Grant institutions was completed in order to gauge the level and enhance a database of U.S./foreign collaboration in international marine research initiated at U.S. Sea ...
Acoustic travel time perturbations due to an internal tide and internal wave field in the Barents Sea Ray, Douglas S. (Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, 1993-08)Travel time perturbations of adiabatic normal modes due to an internal tide and internal mode field in the Barents Sea are examined. A formalism for the travel time perturbation due to a change in sound speed is presented. ...
A science plan for a collaborative international research program on the coupled North Atlantic-Arctic system, a report of a Planning Workshop for an International Research Program on the Coupled North Atlantic-Arctic System developed from a workshop held in Arlington, VA 14-16 April 2014 Hofmann, Eileen E.; St. John, Mike; Benway, Heather M. (Ocean Carbon & Biogeochemistry Program, 2015)This North Atlantic-Arctic science plan is derived from an international workshop held in April 2014 with support from the National Science Foundation Division of Ocean Sciences and the European Union (EU). The workshop ...