Analytical solution for solitary wave diffraction around a cylinder surrounded by multi-segmented arc-shaped wall

Abstract

By modeling the unique segmented arc-shaped breakwater at the periphery of the shallow waters of Dubai’s Palm Island, this paper provides insights into the complex mechanisms of interaction between solitary waves and one cylinder surrounded by multi-segmented concentric arc-shaped outer wall. This study presents an analytical solution using the matched eigenfunction method. Matching conditions are used to determine the initially unknown potential coefficients, ensuring that boundary flux and velocity constraints are met. The numerical results show a high degree of agreement with previous studies. The study examines key factors influencing hydrodynamic loads and diffracted wave surfaces, including incident angle, radius ratio and segment spacing. The findings suggest that segmented triple arc facades with appropriate segmental spacing provide superior shielding effect compared to non-segmented arc facades and circular structures. Additionally, when the arc facade is permeable to water, segmentation has little impact on its shielding effect. The numerical findings offer valuable insights for the engineering design of segmented arc structures.