Homotopy Analysis of Wave-Perforated Breakwater Interaction

This paper proposes a homotopy analysis method to simulate Wave-perforated breakwaters interaction. This method is an analytic technique for strongly nonlinear problems. The solid boundary condition is used for analyzing the problem. It is extremely complicated for wave motion through a permeable plate accompanied with the wave energy dissipation and phase shift. Thus, some assumptions are needed in the theoretical study to ease solution. The method of assuming the permeable plate to be a rigid homogeneous porous medium is generally employed. The flow of a fluid past a porous plate is considered. However, the plate thickness is neglected in solving the fluid regions around the breakwater because it is very small compared with the wavelength and water depth. An exact analytical solution of the governing non-linear differential equation is constructed using homotopy analysis method. It is observed that the relevant perturbation solution corresponds to a special case of the presented solution.

کلیدواژه ها:

homotopy analysis method ، perforated breakwater ، porous plate