A depth-averaged tidal numerical model using non-orthogonal curvilinear co-ordinates

The two-dimensional shallow-water equations are developed for non-orthogonal curvilinear co-ordinates, in terms of the local deviations of the mesh from east and north. The equations are discretised and applied to a numerical model of tides in the Menai Strait in north Wales. The mesh is designed partially to fit the coastline and deep channels in the domain. After calibration, the model produces results which correspond well with measurements. This research was carried out while on sabbatical leave from University of Plymouth.