Two applications of Taylorʹs problem solution for finite rectangular semi-enclosed basins

Taylorʹs problem solution for a finite, rectangular, of constant depth, homogeneous and semi-enclosed basin is applied in two different cases. Bottom friction is taken into account and boundary forcing is specified at the open side. In the first application, current amphidromic points (CAPS) are investigated. In order to achieve this aim, a study of the sensitivity of horizontal distributions of ellipticity to changes in the sea surface elevation designated at the open boundary and to frictional effects was performed. The calculations show that established results for semiinfinite channels, i.e. a pair of current amphidromes related to velocity vectors rotating cyclonically and anticyclonically (middle current amphidromic points, MCAP) and a single current amphidrome near the closed boundary related to velocity vectors rotating cyclonically (closed boundary current amphidromic point, CBCAP), may change radically. A series of experiments made evident that, in the vicinity of open boundaries, a single or a pair of current amphidromes (open boundary current amphidromic point, OBCAP) are also possible. Results of numerical simulations of semi-diurnal tides exhibit multiple ellipticity maxima in embayments situated around the North Sea. In the second application, it will be shown that these structures are reproduced when calculations are carried out for a basin where the open boundary is large in comparison to the length of the embayment.