On mass transports generated by tides and long waves

Huthnance, J.M. ORCID: 1981 On mass transports generated by tides and long waves. Journal of Fluid Mechanics, 102. 367-387.

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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.

Item Type: Publication - Article
Digital Object Identifier (DOI):
Programmes: POL Programmes
ISSN: 0022-1120
Date made live: 02 Jul 2013 13:38 +0 (UTC)

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