Wave attenuation by a submerged circular porous membrane

Abstract

Wave action over a submerged circular flexible porous membrane is investigated and the impact of porosity in dampening the far-field wave amplitude is examined in a scattering of incoming waves. The unknown potential for the free surface and the membrane-covered regions are obtained by coupling the respective boundary conditions and Darcy’s law for permeable structure. The associated boundary value problem is solved using the method of expansions of the eigenfunctions as Fourier-Bessel series. To understand the efficiency of the present study, wave force excitation on the circular membrane, far-field scattering wave amplitude, energy dissipation, and flow distribution are computed and examined. The study shows that on the leeward side of the membrane the wave amplitude reduces drastically. In addition, the submergence depth has a significant impact on wave energy dissipation. This model will be beneficial in developing the mechanism to minimize wave force on coastal structures for a variety of marine operations. In addition, this structure has minimal environmental effects on different coastline processes and can therefore be used in a variety of coastal/ocean applications.