Frictionless Generation of a Tidal Eulerian Residual Flow over a Sill in a Narrow Channel |
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| Authors: | Katsurou Katsumata Toshiyuki Hibiya |
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| Institution: | (1) Institute of Low Temperature Science, Hokkaido University, Sapporo 060-0819, Japan;(2) Department of Earth and Planetary Science, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan |
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| Abstract: | Using a vertically two-dimensional, two-layer model, we have analytically examined the generation mechanism of a nonzero Eulerian
residual flow by strong tide-topography interaction in a narrow channel where the frictional effect is not included. In this
case, tidally generated baroclinic disturbances are forced non-uniformly in space and time while being advected by a strong tidal flow over the non-uniform slope of the bottom topography. Consequently, nonzero Eulerian residual flow results when averaged over one tidal period.
Although the time average of the velocity field is thus nonzero, the associated Eulerian residual transport in each layer
is compensated by a Stokes transport so that no Lagrangian residual transport results in both layers. This warns us that simple
time averaging of the velocity data obtained at a fixed mooring station might lead to a spurious material transport.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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| Keywords: | Internal wave tidal residual |
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