Hostname: page-component-77c89778f8-gvh9x Total loading time: 0 Render date: 2024-07-20T16:36:41.125Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of rotating shear flows in shallow water

Published online by Cambridge University Press:  26 April 2006

Charles Knessl  and
Joseph B. Keller
Charles Knessl
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60680, USA
Joseph B. Keller
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Asymptotic methods are used to determine the dispersion equation for disturbances of rotating parallel flows in shallow water. From this equation the unstable modes and their growth rates are determined. The solution involves seven asymptotic expansions which are matched together. The results supplement and extend those which have been obtained previously using numerical methods by Griffiths, Killworth & Stern (1982) and by Hayashi & Young (1987).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 605 - 614
Copyright
© 1992 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

Griffiths R. W., Killworth, P. D. & Stern M. E. 1982 A geostrophic instability of ocean currents. J. Fluid Mech. 117, 343–377.Google Scholar
Hayashi, Y.-Y. & Young W. R. 1987 Stable and unstable shear modes of rotating parallel flows in shallow water. J. Fluid Mech. 184, 477–504.Google Scholar
Satomura T. 1981a An investigation of shear instability in a shallow water. J. Met. Soc. Japan 59, 148–167.Google Scholar
Satomura T. 1981b Supplementary note on shear instability in a shallow water. J. Met. Soc. Japan 59, 168–171.Google Scholar