摘要：Theoretically, wave resonance occurs in a harbour when the period of the wave coincides with the harbour’s natural resonant period. However, when bottom friction is considered, the resonant period could be affected. Therefore, a model is formulated to simulate the propagation of waves in harbours with bottom friction and used to investigate resonance phenomena in this special case. The governing equations used are the shallow water equations, which are modified to include the friction generated by the interaction between the waves and the harbour’s topography. Analytical and numerical approaches are implemented to derive resonant period from the developed model for three geometric harbour types. To validate the numerical model, comparisons against the analytical solutions are provided. Results from both methods turn out to be in very good agreement. The effects of the friction on resonance are analyzed. It is found that bottom friction works well to prevent resonance in rectangular harbours but functions poorly in harbours with triangular profiles.
关键词：harbour oscillation;Resonance phenomenon;Bottom friction;Resonant period;Shallow water equations
