Resonance Detection in a Semi-closed Basin with Constant Height and Triangular Width

In this paper, our aim is to identify the presence of the resonance phenomenon within a semi-closed basin by introducing a rectangular, smooth-surfaced submerged breakwater. The basin in question possesses a constant height and a triangular width. To address this problem, we employ the modified Shallow Water Equations as our mathematical model. To determine the natural period of the basin, we utilize the Separation of Variables Method to solve the modified Shallow Water Equations analytically. Subsequently, we employ the Finite Volume Method on a staggered grid to solve the model numerically. By incorporating the natural period obtained from the analytical solution into the simulation, we can observe the occurrence of the resonance phenomenon within the basin. Additionally, we investigate the influence of the basin’s characteristics on this phenomenon. The results of this study indicate that adding one block of smooth-surfaced submerged breakwater is not enough to stop resonance from occurring. We also notice that the height, thickness, and location of the breakwater could affect the natural period and wave elevation. This acquired knowledge is expected to provide crucial insights for the future development of more reliable and effective coastal protection methods.