ROSSBY WAVE HYDRAULICS

Models are considered for rotating flows over sills, through straits, and along coasts where the variation in geometry in the flow direction is slow but otherwise unrestricted. In addition to the (rotation-modified) free surface waves of nonrotating open channel hydraulics, with their predominantly vertical signature, slow Rossby or vorticity waves are possible when the background potential vorticity varies. In all but the simplest cases the conservation of energy and momentum fluxes is no longer sufficient to determine the flow behavior. Various additional modeling assumptions are reviewed, and time-dependent finite-amplitude and weakly nonlinear theories that include long Rossby wave dynamics are summarized.