Analytical study of porous wave absorber

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 sea ward slope. By adopting the mathematical model of wave-induced flow in a po rous medium, the interaction between water waves and a porous wave absorber is investigated. An extended linear refraction-diffraction model for surfa ce waves is applied to the sloping region in front of the porous absorber. Using the eigenfunction expansions and the finite-difference method, an ana lytical study is undertaken to predict the wave reflection from such a comp osite porous absorber. The reflection behavior is discussed for several wav e conditions, and the functional efficiency of this absorber is evaluated. It is noted that the present numerical results agree very well with the exp erimental results available in the literature.