Internal generation of waves in fully elliptic modified mild-slope equation using source function method under FEM computational environment

An improved method for generating waves in the fully elliptic modified mild-slope equation (MMSE) is described. After recasting MMSE into the form of a pair of hyperbolic first order equations, we solve this system with added mass in the continuity equation using Green function method, the solution of which reveals the relationship between the source amplitude and surface wave characteristics. We test the model for the generation of desired incident waves in an annular entrance channel. We also compare model results with available experiment data. Good agreements between the numerical results and the analytical solution are found.