Abstract
This chapter discusses the tidally induced residual flows and presents the basic equations controlling the generation of residual flows through the rectification of oscillatory tidal currents by non-linear dynamics. The chapter focuses on the non-linear interactions of the oscillating tidal streams that lead to residual flows. The solutions presented have been simplified to demonstrate the basic mechanisms involved. The analytical approach that has been used becomes invalid when the residual flows predicted approach the same order as the tidal streams and therefore, cannot be applied in the most energetic cases of residual flow generation. While the analytic approach clarifies the mechanisms involved, the lack of simple analytical solutions points towards the value of numerical solutions and also to solve the residual flow in real topographies. Numerical solutions can be achieved using the primitive momentum equations rather than by using the vorticity equation.
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