Analytical and numerical studies for harbor oscillation in a semi-closed basin of various geometric shapes with porous media

摘要

In this paper, we will observe the wave profile that comes to a harbor of various geometries shapes with porous media at the edge of it. The governing equation is linear shallow water equation with modification by adding a friction term in the momentum equation. The analytical solution is derived to get the value of natural resonant period of the basin for various geometric. The equation will be solved numerically using finite volume method on a staggered grid. For validation, we compare our numerical results with the analytical solution. Effect of the friction term as the existence of porous media for wave's resonance will be analyzed numerically.