Abstract
A numerical finite-difference technique for computing tides in areas of shoaling water has been established and used to calculate the M2 tide in Morecambe Bay. An essential feature of the method is the representation of drying banks, which appear as the water level falls on the ebb, and which are re-submerged on the flood as the level rises again. Since the non-linear advective acceleration should be important in shallow water, schemes for incorporating these terms are examined and the influence of advection on the tide assessed. In a series of tests, the open sea tides applied to the outer boundary of the numerical bay model were taken first from existing tidal charts, then from calculations with a larger-scale encompassing model, and finally from observations of current. In each case, the computed tidal elevations within the Bay turned out to be in satisfactory agreement with those obtained from observations. However, it is significant that, in the first case, inaccuracy of the input tidal distribution deduced from charts gives rise to erroneous currents near the boundary.
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