Interaction of surface water waves with partial porous structure and floating elastic plate in the presence of sea wall

ABSTRACT

This study proposes a model composed of either bottom-standing porous structure (BSPS) or surface-piercing porous structure (SPPS) in combination with an elastic plate (EP) placed at a distance from one another to protect a sea wall. The study uses the governing equation and the boundary conditions to coin a system of equations, and the system of equations is solved to identify the hydrodynamics coefficients. Further, it is noticed that length, frictional coefficient, porosity of the porous structure, and flexural rigidity of EP play a crucial role in reducing the force on the sea wall, water elevation and plate deflection. The SPPS exhibits a nearly 60% reduction in wall force coefficient due to a 50% increase in wave-damping when compared to BSPS for k₀H = 0.85. These results are crucial for developing floating structures that can resist harsh wave environments and minimize the effects of waves close to the shore.

KEYWORDS:

• Bottom-standing porous structure
• surface-piercing porous structure
• eigenfunction expansion method
• reflection coefficient
• dissipation coefficient
• force experienced by the wall

Disclosure statement

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

Data availability statement

The corresponding author can provide the models and codes created and used during the study upon request.

Additional information

Funding

Gagan Sahoo expresses gratitude towards the Council of Scientific and Industrial Research, Government of India, for providing the fellowship (09/1005(0027)/2019-EMR-I) that supported his pursuit of Ph.D. degree at the Indian Institute of Technology Ropar, India. SCM acknowledges the Science and Engineering Research Board, Department of Science and Technology, Government of India for the MATRICS grant (No.MTR/2022/000509).