Fast and accurate computation of the free-surface Green function is of key importance for the numerical solution of linear and second-order wave-structure
interaction problems in three dimensions. Integral and series expressions for the
Green function are derived for which the limiting values for zero and infinite
frequency are ...
Fast and accurate computation of the free-surface Green function is of key importance for the numerical solution of linear and second-order wave-structure
interaction problems in three dimensions. Integral and series expressions for the
Green function are derived for which the limiting values for zero and infinite
frequency are consistent with the zero and infinite frequency Green function
defined in terms of infinite series of Rankine image sources. The integral expressions presented here have the advantage that they are slowly varying with
the non-dimensional wave frequency, making them more efficient to approximate
compared with previous expressions.