Diffraction wave on the single wing floating breakwater

Based on the potential flow theory, the mathematical model of the single wing floating breakwater (SWFB) on the wave-facing side is established. Due to the shape of the wing being considered to be variable depth, the modified mild slope equation (MMSE) is used to deal with the problem of the variable water depth above the wing caused by the complex shape of the wing. The matched eigenfunction expansion method (MEEM) is used to match the velocity potential of each region. After solving the diffraction wave velocity potential of the SWFB, the wave blocking effect and the wave excitation force of the SWFB are analyzed. The results show that the SWFB has a better effect on reducing the transmission wave than the box -type and the floating breakwater with a single heave plate on the wave-facing side. Among them, the convex wing has the best effect. Its transmission coefficient is 0.105 smaller than that of the concave wing, and the amplitude of the free surface elevation behind the SWFB is only 80.8 % of that of the concave wing. The increase in the height and length of the wing is beneficial to reduce the transmission coefficient, but due to the greater blocking effect on the wave, it also leads to greater wave run-up.