The deformation of solitary waves on steep slopes

The phenomenon of solitary waves propagating through steep slopes is numerically analyzed by means of the boundary element method. With the fully nonlinear boundary condition on the free water surface, the Lagrangian method is used in the numerical scheme to describe the motion of the fluid particles. The forward-difference ap proximation is used to deal with the time derivative, The processes of runup and rundown of solitary waves on steep slopes are studied. Present results are compared to other published results. For waves with a ratio of incident wave height to water depth, 0.4, the distributions of fluid velocities are presented.