Straightforward discretisation of Green function and free-surface potential flow around a three-dimensional lifting body

Abstract

A straightforward evaluation approach of free-surface Green function is developed to solve the potential flow around a three-dimensional lifting body. The free-surface waves generated by the movement of the lifting body is presented in an expansion of plane regular waves traveling in $$\theta $$ directions with wave number magnitudes $$k>0$$ . A boundary element method is combined with the evaluation approach and Hess-Smith panel integral formulae to predict hydrodynamic performance of a three-dimensional lifting body. Numerical results produced by the proposed method are compared favourably with experimental measurements.