Analytical Study of Porous Wave Absorber

Abstract

Linear potential theory is applied to the analysis of wave reflection from a composite porous wave absorber that lies on a solid foundation with a seaward slope. By adopting the mathematical model of wave-induced flow in a porous medium, the interaction between water waves and a porous wave absorber is investigated. An extended linear refraction-diffraction model for surface waves is applied to the sloping region in front of the porous absorber. Using the eigenfunction expansions and the finite-difference method, an analytical study is undertaken to predict the wave reflection from such a composite porous absorber. The reflection behavior is discussed for several wave conditions, and the functional efficiency of this absorber is evaluated. It is noted that the present numerical results agree very well with the experimental results available in the literature.