Seiches in a basin with an open entrance

Two-dimensional seiche oscillations in a rectangular basin of constant depth with an open entrance are considered within the framework of the linear theory of long waves. An analytical solution is obtained for the case where a nodal level line is located at the entrance to the basin. It is shown that transverse seiches in a basin with an open entrance are two-dimensional in contrast to similar modes in a completely closed basin, which are one-dimensional. Calculation of seiche parameters is performed for model basins having dimensions and depth characteristic of a number of Sevastopol bays. Comparison of the results of the calculations are with the data of full-scale observations show that they are in satisfactory agreement.