Author(s)

B. Ponizy, M. Ba, M. Gmlbaud & F. Noblesse

Abstract

Fast computation of the Green function for steady ship wave resistance B. Ponizy", M. Ba", M. Gmlbaud\ F. Noblesse" Guillaume VII 86684 Poitiers, France ^C.E.A.T., Universite de Poitiers, 4 3 Route de I' Aerodrome 86036 Poitiers, France * David Taylor Model Basin, Bethesda MD, USA ABSTRACT A very efficient method for computing the non oscillatory near-field term in the Green function, and its gradient, for steady ship waves is presented. The method employs linear interpolation of tabulated values of the near- field term N and its derivatives Nx,Ny, NZ with respect to the coordinates X, Y, Z. The interpolation tables are determined using transformations of both coordinates and functions. The coordinate transformation maps the infinite space of coordinates into a unit cube of interpolation variables, and the function transformation defines the singular terms Nx,Ny, NZ in terms of continuous and slowly-varying interpolation functions. The efficiency of the method is illustrated

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