Solitary wave scattering by segmented arc-shaped breakwater

Abstract

An analytical solution is presented to study a plane solitary wave propagating past a concentric segmented arc-shaped breakwater using the matched eigenfunction and separation of variable methods. The undetermined potential coefficients are obtained based on matching conditions. The numerical results of this study are found to agree well with previous calculation results. The major factors (including the number of arc-shaped breakwaters, opening angle, incident angle, and gap width) that affecting the hydrodynamic loads and diffracted wave surface are discussed. The results indicate that the shielding effect of a segmented two-arc breakwater with a small gap width is better than that of an unsegmented arc-shaped breakwater. However, the arrangement of the segmented arc impacts the sheltering effect. Numerical results provide a valuable reference for the hydrodynamic analyses and structural design of segmented arc-shaped breakwaters.

KEYWORDS:

• Solitary wave
• segmented arc-shaped breakwater
• analytical derivation
• hydrodynamic force

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (42227901, 52371358), Innovation Group Project of Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai) (311020011), Key-Area Research and Development Program of Guangdong Province (2020B1111010004), and the Special project for marine economy development of Guangdong Province (GDNRC [2022] 31).