A nonlinear numerical model for surface and internal waves around various permeable breakwaters

摘要

The effect of different types of permeable structures on surface and internal waves has been studied considering the nonlinear properties of fluid motion. The governing equations are a set of nonlinear equations representing a multilayer fluid system in porous media. The Lagrangian of each fluid layer was vertically integrated satisfying nonlinear boundary conditions on the interfaces, after which the variational principle was applied to yield a set of time-dependent, fully nonlinear equations taking into account a continuous distribution of porosity. Any structure shape described as a porous body can be treated. Several numerical computations were carried out to investigate the deformation of surface/internal long waves around different permeable breakwaters including submerged breakwaters, breakwaters with an opening, and submerged horizontal plates. Water particle trajectories were also simulated.