Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-05-31T20:18:59.144Z Has data issue: false hasContentIssue false
  • English
  • Français

A general method for solving steady-state internal gravity wave problems

Published online by Cambridge University Press:  29 March 2006

D. G. Hurley
D. G. Hurley
Affiliation:
Department of Mathematics, University of Western Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper describes a simple but general method for solving 'steady-state’ problems involving internal gravity waves in a stably stratified liquid. Under the assumption that the motion is two-dimensional and that the Brunt-Väisälä frequency is constant, the method is used to re-derive in a very simple way the solutions to problems where the boundary of the liquid is either a wedge or a circular cylinder. The method is then used to investigate the effect that a model of the continental shelf has on an incident train of internal gravity waves. The method involves analytic continuation in the frequency of the disturbance, and may well prove to be effective for other types of wave problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 4 , 28 December 1972 , pp. 721 - 740
Copyright
© 1972 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

Baines, P. G. 1971a The reflexion of intenal/inertial waves from bumpy surfaces. J. Fluid Mech. 46, 273.Google Scholar
Baines, P. G. 1971b The reflexion of internal/inertial waves from bumpy surfaces. Part 2. Split reflexion and diffraction. J. Fluid Mech. 49, 113.Google Scholar
Barcilon, V. & Bleistein, N. 1969a Scattering of inertial waves in a rotating fluid. Studies in Appl. Math. 48, 91.Google Scholar
Barcilon, V. & Bleistein, N. 1969b Scattering of inertial waves by smooth convex cylinders. Studies in Appl. Math. 48, 351.Google Scholar
Bers, L., John, F. & Schechter, M. 1964 Partial Differential Equations Interscience.
Carrier, G. F., Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable. McGraw-Hill.
Hurley, D. G. 1969 The emission of internal waves by vibrating cylinders. J. Fluid Mech. 36, 657.Google Scholar
Hurley, D. G. 1970 Internal waves in a wedge-shaped region. J. Fluid Mech. 43, 97.Google Scholar
Lighthill, M. J. 1966 On waves generated in dispersive systems by travelling forcing effects, with applications to the dynamics of rotating fluids. J. Fluid Mech. 27, 725.Google Scholar
Milne-Thomson, L. M. 1949 Theoretical Hydrodynamics (2nd edn.). Macmillan.
Phillips, O. M. 1966 The Dynamics of the Upper Ocean. Cambridge University Press.
Robinson, R. M. 1970a The effects of a corner on a propagating internal gravity wave J. Fluid Mech. 42, 257.Google Scholar
Robinson, R. M. 1970b Ph.D. thesis, University of Western Australia.