Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-09T20:04:18.453Z Has data issue: false hasContentIssue false
  • English
  • Français

Evolution of inertial frequency oscillations

Published online by Cambridge University Press:  29 March 2006

Ronald Smith
Ronald Smith
Affiliation:
Fluid Mechanics Research Institute, University of Essex, Colchester
Get access Rights & Permissions [Opens in a new window]

Abstract

Approximate equations are derived for the slow variation in amplitude of free oscillations at the inertial frequency in a slightly stratified ocean. In an ocean of constant depth with horizontally uniform stratification the evolution equation for waves of small vertical mode number can be reduced to a Schrödinger equation, with the increment in Coriolis parameter playing the role of the potential. An exact solution of the Schrödinger equation is presented which demonstrates the transience of inertial oscillations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 2 , 4 September 1973 , pp. 383 - 389
Copyright
© 1973 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Waltham, Mass.: Blaisdell.
Hasselmann, K. 1970 Wave driven inertial oscillations. Geophys. Fluid Dyn. 1, 463–502.Google Scholar
LeBlond, P. H. 1966 On the damping of internal gravity waves in a continuously stratified ocean. J. Fluid Mech. 25, 121–142.Google Scholar
Munk, W. & Phillips, N. 1968 Coherence and band structure of inertial motion in the sea. Rev. Geophys. 6, 447–472.Google Scholar
Perkins, H. 1972 Inertial oscillations in the Mediterranean. Deep Sea Res. 19, 289–296.Google Scholar
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Pollard, R. T. 1970 On the generation by winds of inertial waves in the ocean. Deep Sea Res. 17, 795–812.Google Scholar
Webster, F. 1968 Observations of inertial-period motions in the deep sea. Rev. Geophys. 6, 473–490.Google Scholar