... for obtaining the motions (in the presence of incoming waves) of arbitrary 3D bodies from which there is a steady intake/discharge. The boundary-value problem is formulated within the assumption of the linear potential theory by decomposing the total potential into oscillatory and steady components. The steady...

...Sophia T. Santillan; Lawrence N. Virgin; Raymond H. Plaut This paper models flexible risers and pipelines as slender elastica structures. The theoretical formulation leads to a type of nonlinear boundary value problem that can be solved numerically given appropriate boundary conditions...

... their hydrodynamic performance. A diffraction-radiation boundary value problem is developed. It arises from the interaction of linear waves on a moored floating breakwater with a leeward boundary described by a partial reflective sidewall. The effects of the sidewall clearance, structural parameters, mooring lines...

... geometry and are placed in a two-layer fluid of finite depth. In the study, both the cases of surface-piercing and bottom-standing dikes are considered. The solution of the associated boundary value problem is derived by a matched eigenfunction expansion method. Because of the flow discontinuity...

...Tetsuya Matsui The boundary value problem is formulated to predict the hydroelastic response of a matlike floating circular plate advancing slowly in waves. The plate is idealized as an elastic plate with zero draught, and the potential flow theory is employed with low forward-speed assumptions...

... 28 02 2003 surface waves (fluid) ocean waves boundary-value problems marine vehicles Taking into account the structure of the functions f n we can observe step by step the phases of the flow near the cylinder. It is easy to see that vertical fluid motion is initially...