Extension of the Free-surface Green’s Function Multipole Expansion for the Infinite Water Depth Case

摘要

This paper presents new developments of the multipole expansion ofthe infinite water depth free-surface Green’s function, in the scope ofwave farm simulation. The expansions of the Green’s function andits derivatives have been extended to be used in a 3D fast multipolealgorithm. Previous restrictions over the use of the multipole expansionare proven to be unnecessary. Extensive validation is provided, byevaluating this function over a large range of parameters. The influenceof the fast multipole algorithm parameters on the accuracy of themultipole expansion is then investigated.