Extension of Free-Surface Green's Function Multipole Expansion for Infinite Water Depth Case
Résumé
This paper presents new developments of the multipole expansion of the infinite water depth free-surface Green’s function, in the scope of wave farm simulation. The expansions of the Green’s function and its derivatives have been extended to be used in a 3D fast multipole algorithm. Previous restrictions over the use of the multipole expansion are proven to be unnecessary. Extensive validation is provided, by evaluating this function over a large range of parameters. The influence of the fast multipole algorithm parameters on the accuracy of the multipole expansion is then investigated.
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