Abstract
A depth-independent model for the tidal rectification process is developed in order to explain the residual Eulerian velocity observed at the top of a shelf edge. An approximation of the nonlinear equations for an inviscid ocean is considered.
It is found that the Lagrangian mean current vanishes if the geostrophic contours are closed. Exact conservation of the potential vorticity along a water column trajectory indicates that the model and its approximations are valid. Quantitative results are shown for an idealized shelf break (constant bottom slope). Finally, a realistic transect is considered in the north of the Bay of Biscay. The residual and fortnightly tide behavior is examined.
