Scattering of oblique waves by permeable vertical flexible membrane wave barriers

TL;DR

This paper develops a theoretical and numerical framework to analyze how oblique surface gravity waves interact with permeable vertical flexible membrane wave barriers, demonstrating their potential as effective breakwaters under optimal design conditions.

Contribution

It provides a comprehensive formulation and solution method for wave interaction with permeable membrane barriers, including analysis of different configurations and their efficiencies.

Findings

Membrane barriers can significantly reduce wave energy under certain conditions.

The boundary element method effectively models membrane motion and wave interaction.

Properly designed permeable membranes serve as efficient breakwaters.

Abstract

The interaction of obliquely incident surface gravity waves with a vertical flexible permeable membrane wave barrier is investigated in the context of three-dimensional linear wave-structure interaction theory. A general formulation for wave interaction with permeable submerged vertical membrane is given. The analytic solution of the physical problem is obtained by using eigenfunction expansion method, and boundary element method has been used to get the numerical solution. In the boundary element method, since the boundary condition on the membrane is not known in advance, membrane motions and velocity potentials are solved simultaneously. From the general formulation of the submerged membrane barrier, the performance of bottom-standing, surface-piercing and fully extended membrane wave barriers are analyzed for various wave and structural parameters. It is found that the efficiency of the submerged, surface-piercing and bottom-standing membrane wave barriers can be enhanced in waves for certain design conditions. From the analysis of various membrane configurations and parameters, it can be concluded that permeable membrane wave barrier can function as a very effective breakwater if it is properly designed.