Abstract
A new set of mild-slope equations, taking into account of evanescent modes, is derived for the analyses of wave-diffraction and radiation by a floating body in a harbor. A Galerkin-type finite element method is applied to the numerical modeling. In this model, the fluid motion in the whole harbor domain is represented in vertically integrated forms. This acheives much higher computational efficiency as compared to conventional “partially three-dimensional” models. The results of fundamental examinations indicate importance of evanescent modes in predicting hydrodynamic forces and sufficient reliability of the present model. Comparison with a conventional numerical model shows significant improvements in computational efficiency.
