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Topographically generated cyclonic disturbance and lee waves in a stratified rotating fluid

Published online by Cambridge University Press:  20 April 2006

H. K. Cheng ,
H. Hefazi  and
S. N. Brown
H. K. Cheng
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, California 90089-1454
H. Hefazi
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, California 90089-1454
S. N. Brown
Affiliation:
Department of Mathematics, University College London. England
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Abstract

The flow about an obstacle in horizontal motion relative to a stratified Boussinesq fluid in a deep, rapidly rotating container is studied. Numerical and asymptotic analyses of the linearized boundary-value problems for a shallow topography are made to delineate the influence of stratification and ground topography on wave and flow structure, and to ascertain the presence of a solitary anticyclonic, or cyclonic, disturbance in the far field at high as well as low stratification. Although the analyses are restricted to the rapidly rotating case corresponding to a vanishingly small Rossby number, it is pointed out that the cyclonic feature remains a valid inviscid description in the far field except for an infinite Rossby number corresponding to no rotation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 141 , April 1984 , pp. 431 - 453
Copyright
© 1984 Cambridge University Press

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