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Topographic waves in rectangular basins

Published online by Cambridge University Press:  21 April 2006

Thomas Stocker  and
Kolumban Hutter
Thomas Stocker
Affiliation:
Laboratory of Hydraulics, Hydrology and Glaciology, 8092-ETH Zürich, Switzerland
Kolumban Hutter
Affiliation:
Laboratory of Hydraulics, Hydrology and Glaciology, 8092-ETH Zürich, Switzerland
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Abstract

The channel model of Stocker & Hutter (1986, 1987) is used to construct topographic wave solutions in a rectangular basin on the f-plane with variable but symmetric bathymetry. We show that in a narrow period band three types of eigenmodes can be discerned which exhibit local, midscale and global structure, respectively. Wave motion can be trapped either at the long sides of the elongated basin (channel mode) or at the ends of it (bay mode) or alternatively, a basinwide phase rotation is observed (Ball mode). The new bay modes are explained as resonances of topographic wave reflection in a semi-infinite channel. The influence of the variation of the aspect ratio of the rectangle and the topography parameter on the wave periods is also investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 185 , December 1987 , pp. 107 - 120
Copyright
© 1987 Cambridge University Press

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