| Abstract | The paper presents a systematic approach to the formulation of non-linear boundary value problems of ship hydrodynamics. The approach is based on an explicit use of fluid domain transformations. New forms of the impermeability and free surface conditions are derived. Perturbation formulations of Dawson-like and Neumann-Kelvin problems with steady and unsteady velocity potentials are developed, including second order equations for the latter. A physically justified weak-scatterer hypothesis is introduced and applied to obtain a perturbation and direct formulation of the non-linear ship-wave interaction problem, for which solutions can be obtained using existing computational methods. In the direct formulation a consistent non-linear flow matching (radiation) condition on a control boundary is derived. [Author Abstract] |
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