EVALUATION OF THE WAVE-RESISTANCE GREEN FUNCTION, PART 2: THE SINGLE INTEGRAL ON THE CENTERPLANE

Effective series expansions are derived for the evaluation of the single integral in the potential of a submerged source which moves with constant velocity, when the source and field point are in the same longitudinal centerplane. In conjunction with the polynomial approximations for the double integral component that were derived in Part 1 of this work, the present results facilitate the computation of the source potential or Green function. Three complementary domains of the centerplane are considered, with different expansions developed for use in each domain.