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On mass transports generated by tides and long waves

Published online by Cambridge University Press:  20 April 2006

J. M. Huthnance
J. M. Huthnance
Affiliation:
Institute of Oceanographic Sciences, Bidston Observatory, Merseyside L43 7RA
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Abstract

For small-amplitude barotropic wave motion in a shallow fluid, Moore (1970) found that the associated mean mass transport is geostrophic, but otherwise arbitrary in the absence of friction. We show how weak friction, or starting the motion from rest, determines the mass transport by restricting circulation around closed geostrophic (f/h) contours. The resulting transport is quadratic in oscillatory quantities and depends on the friction type, but not on its (weak) magnitude. Comparison is made with earlier results in particular geometries. A tendency for anticyclonic circulation around shallow regions is found, and extends to large-amplitude oscillations where particle excursions exceed the topographic length scale. We suggest that numerical schemes for calculating tidal residuals should conserve mass and vorticity.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 102 , January 1981 , pp. 367 - 387
Copyright
© 1981 Cambridge University Press

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