Dynamic response of fibrillar adhesive floating breakwater near a porous structure and Gaussian oscillatory seabed with added mass and damping effects

S. Sujana Praisilin; Chandru Muthusamy; Higinio Ramos; S. Sujana Praisilin; Chandru Muthusamy; Higinio Ramos

doi:10.3934/math.20251054

AIMS Mathematics

2025, Volume 10, Issue 10: 23715-23737. doi: 10.3934/math.20251054

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Dynamic response of fibrillar adhesive floating breakwater near a porous structure and Gaussian oscillatory seabed with added mass and damping effects

1.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
2.
Scientific Computing Group, University of Salamanca, Plaza de la Merced, 37008 Salamanca, Spain
3.
Department of Applied Mathematics, Escuela Politécnica Superior de Zamora, University of Salamanca, Campus Viriato, 49022 Zamora, Spain

Received: 28 July 2025 Revised: 17 September 2025 Accepted: 19 September 2025 Published: 17 October 2025

This study examines the dynamic response of a fibrillar adhesive floating breakwater positioned near a porous structure at a finite distance from Gaussian undulating seabed. The problem is addressed using linearized water wave theory, with numerical simulations based on the multi-domain boundary element method. The study primarily focuses on the analysis of crucial elements such as the added mass and damping coefficients associated with heave, surge, and pitch motions, considering the influence of both wave and structural parameters. Validation against existing literature confirms the accuracy and reliability of the proposed method. The study reveals that an increase in the number of seabed ripples leads to higher added mass and damping coefficients, particularly at larger wave incidence angles. Further, the frictional interaction between the water and the porous structure modifies the added mass coefficient, resulting in a shift in the resonance peak and significantly affecting the dynamic response of the breakwater. Moreover, surge and pitch motions are highly damped in intermediate waves as the porosity of the structure decreases.
- fibrillar adhesive floating breakwater,
- Gaussian oscillatory seabed,
- added mass,
- damping coefficient,
- multi-domain boundary element method
Citation: S. Sujana Praisilin, Chandru Muthusamy, Higinio Ramos. Dynamic response of fibrillar adhesive floating breakwater near a porous structure and Gaussian oscillatory seabed with added mass and damping effects[J]. AIMS Mathematics, 2025, 10(10): 23715-23737. doi: 10.3934/math.20251054

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Abstract

This study examines the dynamic response of a fibrillar adhesive floating breakwater positioned near a porous structure at a finite distance from Gaussian undulating seabed. The problem is addressed using linearized water wave theory, with numerical simulations based on the multi-domain boundary element method. The study primarily focuses on the analysis of crucial elements such as the added mass and damping coefficients associated with heave, surge, and pitch motions, considering the influence of both wave and structural parameters. Validation against existing literature confirms the accuracy and reliability of the proposed method. The study reveals that an increase in the number of seabed ripples leads to higher added mass and damping coefficients, particularly at larger wave incidence angles. Further, the frictional interaction between the water and the porous structure modifies the added mass coefficient, resulting in a shift in the resonance peak and significantly affecting the dynamic response of the breakwater. Moreover, surge and pitch motions are highly damped in intermediate waves as the porosity of the structure decreases.

References

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