Water waves resonance and its interaction with submerged breakwater

Abstract

Wave resonance phenomena in a basin can cause enormous damage to the environment. Resonance is caused by external forces coming into the basin with a similar period as the natural period of the basin. One way to mitigate this resonance is to construct a submerged breakwater. In this paper, we observe resonance phenomenon in a basin with one block of rectangular submerged breakwater. The mathematical model is based on the linearized shallow water equation (LSWE). This system of partial differential equations system is solved by transforming the equations into ordinary differential equations, which are used to obtain the natural period analytically. We conduct numerous numerical simulations to confirm and detect the existence of the wave resonance phenomenon. Following that, we calculate the optimal friction coefficient required to completely prevent resonance occurrences. Our results support the claim that constructing rough surfaces on submerged breakwaters is a cost- and time-effective way to prevent the resonance phenomenon.

Keywords

• Resonance
• Shallow water equations
• Finite volume method
• Resonant period
• Semi-closed basin
• Oscillations