Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-05T04:32:00.691Z Has data issue: false hasContentIssue false
  • English
  • Français

Shallow rotating flow over an isolated obstacle

Published online by Cambridge University Press:  20 April 2006

V. R. Lamb  and
G. S. Janowitz
V. R. Lamb
Affiliation:
Department of Marine. Earth, and Atmospheric Sciences, North Carolina State University, Raleigh, NC 27695-8208
G. S. Janowitz
Affiliation:
Department of Marine. Earth, and Atmospheric Sciences, North Carolina State University, Raleigh, NC 27695-8208
Get access Rights & Permissions [Opens in a new window]

Abstract

The deflection of flow around an isolated obstacle in a rotating homogeneous fluid is investigated. Criteria for the onset of closed streamlines over an isolated obstacle are reviewed. In the flow regime where no closed streamlines exist, steady solutions for the stream function are obtained for both quasigeostrophic and finite-Rossby-number flows. A measure is proposed to allow quantitative evaluation of the flow patterns, and the dependence of deflection on obstacle volume and aspect ratio is examined. In the regime where closed streamlines can exist, the presence of a trapped vortex to the right (looking downstream) of the obstacle is investigated by means of time integration of the shallow-water equations. The significance of the trapped vortex for a real fluid is then tested through the addition of the frictional effect of Eckman pumping.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 158 , September 1985 , pp. 1 - 22
Copyright
© 1985 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

Arakawa, A. & Lamb V. R. 1983 A potential enstrophy and energy conserving scheme for the shallow water equations. Mon. Weather Rev. 109, 18–36.Google Scholar
Bannon P. R. 1980 Rotating barotropic flow over finite isolated topography. J. Fluid Mech. 101, 281–306.Google Scholar
Hide, R. & Ibbetson A. 1968 On slow transverse flow past obstacles in a rapidly rotating fluid. J. Fluid Mech. 32, 251–272.Google Scholar
Huppert H. E. 1975 Some remarks on the initiation of inertial Taylor columns. J. Fluid Mech. 67, 397–412.Google Scholar
Huppert, H. E. & Bryan K. 1976 Topographically generated eddies. Deep-Sea Res. 23, 655–679.Google Scholar
Ingersoll A. P. 1969 Inertial Taylor columns and Jupiter's Great Red Spot. J. Atmos. Sci. 26, 744–752.Google Scholar
Johnson E. R. 1978 Trapped vortices in rotating flow. J. Fluid Mech. 86, 209–224.Google Scholar
Taylor G. I. 1923 Experiments on the motion of solid bodies in rotating fluids Proc. R. Soc. Lond. A 93, 99–113.Google Scholar
Vaziri, A. & Boyer D. L. 1971 Rotating flow over shallow topographies. J. Fluid Mech. 50, 79–95.Google Scholar