Analytical and numerical investigation of wave resonance over rectangular basin with submerged triangular breakwaters

Wave resonance in coastal basins can cause significant environmental and structural damage, highlighting the need for effective mitigation strategies in coastal engineering. This study explores resonance phenomena in a rectangular semi-closed basin protected by submerged triangular breakwaters. The wave dynamics are modeled utilizing modified Linear Shallow Water Equations (LSWEs), which incorporate a breakwater-induced friction factor. Analytical and numerical approaches are employed in determining the basin’s natural period—a key parameter governing the onset of resonance. Numerical simulations, formulated utilizing the finite volume method, are conducted to identify the conditions that trigger resonance. The findings reveal that submerged triangular breakwaters substantially affect the natural period and help attenuate resonance effects, providing valuable insights for the design of resilient coastal infrastructure.