ABSTRACT
J. N. Newman and F. Noblesse, independently, made ingenious fast codes to compute the Green’s function and its derivatives. The sources of the codes are either commercially or freely available. The panel method codes developed with these source functions vary widely from zero order to higher order methods. To compute the diffraction of waves in a current or by a steadily moving object there is a Green’s function available that obeys the linearized free surface condition for harmonic waves in a uniformly constant flow. In the literature a variety of methods to compute the first order potentials can be found. For zero forward speed the most commonly used method is based on the application of Green’s theorem to the fluid domain, or based on a source distribution, using the harmonic Green’s function, which obeys the linearized free surface condition. The Green’s function obeys the field equations, bottom condition, and the homogeneous free surface condition.
