FREE-SURFACE FLOW COMPUTATIONS USING KELVIN SINGULARITIES

The use of Green's function satisfying a linear Kelvin boundary condit ion on the undisturbed free surface in Naval Hydrodynamics has been, f or a long time, very limited owing to the numerical difficulties requi ring long computational time and the difficulty of the calculus of the waterline integral dealing with the derivatives of the doublet distri bution. A panel method, Computing Green's function and its first deriv atives from table interpolation and using a special technique to compu te the waterline integral for a lifting or non-lifting boat, is presen ted. Results on yawed surface-piercing bodies, where the Kutta-Joukovs ky condition is satisfied by an iterative procedure, and on the Wigley hull are given.