Абстракт
Within the framework of the theory of long waves (based on nonlinear Boussinesq equations without dispersion), using the numerical hydrodynamic model FUNWAVE (Fully Nonlinear WAVE model), the dynamics of water in a system of two coupled model rectangular bays of constant depth was reproduced. The sequence of incident monochromatic waves, having periods within the range corresponding to the lowest modes of the basin’s natural oscillations, was specified as a disturbance. Numerical experiments were performed for the basin with parameters corresponding to the laboratory experimental apparatus (Nakano and Fujimoto 1987). The modes of forced and free oscillations have been studied. It was possible qualitatively numerically repeat the free level fluctuations in tops of the bays that took place during laboratory experiments in (Nakano and Fujimoto 1987): with and without beats. But in all our numerical experiments, the oscillations in coupled bays were co-phasic. Even in the case of beats, free oscillations did not turn into contra-phasic over time. Only a slight phase shift was observed, which disappeared over time and the oscillations became co-phasic.
Ключевые слова
Boussinesq equations, Coupled bays, Numerical model FUNWAVE, Seiches