Abstract

Abstract Numerical calculations carried out for tidal flow on a small region of the New Zealand coast near Mana Island (41° 5 S, 174° 47 E) solved a finite difference form of the tidal equations, and assumed that the velocity boundary conditions could be approximated by a modified Kelvin wave formula. The results were exponentially smoothed in time at each step in the calculation to remove spurious modes. The main results are shown as plots of tidal velocity vectors around Mana Island at equally spaced time intervals over a tidal cycle for one run commencing at low tide. The flow becomes very complex, with eddy shedding occurring in the wake of Mana Island, and a tidal rip developing across the shallow connection between Mana Island and the mainland.

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