Velocity representation of free-surface flows and Fourier-Kochin representation of waves

A new fundamental mathematical representation of linear free-surface potent ial flows is given. The flow representation, called velocity representation , only involves first derivatives of the Green function and defines the vel ocity inside a flow domain in terms of source and vortex distributions give n by the normal and tangential velocity components of the velocity at the b oundary surface. The velocity representation yields remarkably simple analy tical representations of the waves generated by an arbitrary boundary veloc ity distribution for time-harmonic flows, with or without forward speed, an d for steady flows. (C) 2001 Elsevier Science Ltd. All rights reserved.