Numerical Simulation of Wave Interaction with Porous Seawall in Two Dimensional Vertical Plane

An implicit finite volume model is developed to simulate wave interaction with a vertical porous seawall in two-dimensional vertical plane. The algorithm solves the complete Navier–Stokes equations in two steps. First the pressure term in the momentum equations is excluded and the resultant advection–diffusion equations are solved. In the second step the continuity and the momentum equations with only the pressure terms are solved to give a block tri-diagonal system of equations with pressure as the unknown. A direct matrix solver is used to solve this system without iteration. The free surface is traced with VOF method. The porous media is modeled by including drag and inertia forces in Navier-Stokes equations. A set of comparisons between computed results and measured data confirmed the model’s validation. Investigating the role of porosity and width of the structure in increasing energy dissipation through numerical tests show that an optimum value of structure width and porosity exists that can maximize the wave energy dissipation.