Solitary Wave Interaction with Porous Structures

Abstract

This paper presents the interaction of solitary waves with porous structures. To get the energy-dissipation, reflection, transmission, and diffraction of solitary waves to porous structures, we use Lee et al.’s (2014) model. They developed extended Boussinesq equations for waves in porous media considering inertial and drag resistances. When these resistances are neglected, the model is reduced to the extended Boussinesq equations of Madsen and Sørensen (1992). Forthe initial condition we use an analytical solution of solitary waves for Madsen and Sørensen's (1992) Boussinesq equations. For verification, numerical results of Lee et al.’s (2014) model are compared to the numerical and experimental results of Lara et al. (2012) in a case of solitary waves normally incident to a semi-infinite porous breakwater. Numerical simulations are conducted for various cases such as obliquely incidentsolitarywavestoa semi-infinite porous breakwater, solitary wavesto a detached porous breakwater or through a porous breakwater gap.