Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-23T14:05:43.086Z Has data issue: false hasContentIssue false
  • English
  • Français

Internal-inertia waves in a fluid of variable depth

Published online by Cambridge University Press:  24 October 2008

W. D. McKee
W. D. McKee
Affiliation:
Woods Hole Oceanographic Institution, Woods Hole, Massachusetts
Get access Rights & Permissions [Opens in a new window]

Abstract

Waves in a rotating, stratified fluid of variable depth are considered. The perturbation pressure is used throughout as the dependent variable. This proves to have some advantages over the use of the vertical velocity. Some previous three-dimensional solutions for internal waves in a wedge are shown to be incorrect and the correct solutions presented. A WKB analysis is then performed for the general problem and the results compared with the exact solutions for a wedge. The WKB solution is also applied to long surface waves on a rotating ocean.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 205 - 213
Copyright
Copyright © Cambridge Philosophical Society 1973

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

REFERENCES

(1)CoxC. and Sandstrom, H. C. and Sandstrom, H.Coupling of internal and surface waves in water of variable depth. J. Oceanogr. Soc. Japan. 20th Anniversary Volume (1962), 499.Google Scholar
(2)Erdélyi, A. (Ed.). Higher transcendental functions, Volume 2 (McGraw-Hill, 1953).Google Scholar
(3)Hurley, D. G.The emission of internal waves by vibrating cylinders. J. Fluid Mech. 36 (1969), 657.CrossRefGoogle Scholar
(4)Keller, J. B. and Mow, V. C.Internal wave propagation in an inhomogeneous fluid of non-uniform depth. J. Fluid Mech. 38 (1969), 365.CrossRefGoogle Scholar
(5)Luneburg, R. K.The mathematical theory of optics (University of California Press, 1964).CrossRefGoogle Scholar
(6)Phillips, O. M.The dynamics of the upper ocean (Cambridge, 1966).Google Scholar
(7)Reid, R. O.Effect of Coriolis force on edge waves. (1) Investigation of normal modes. J. Mar. Res. 16 (1958), 109.Google Scholar
(8)Wunsch, C.On the propagation of internal waves up a slope. Deep-Sea Res. 25 (1968), 251.Google Scholar
(9)Wunsch, C.Progressive internal waves on slopes. J. Fluid Mech. 35 (1969), 131.CrossRefGoogle Scholar