Alternative Methods of Evaluating Green’s Function in Three-Dimensional Ship-Wave Problems

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Abstract
This paper introduces new alternative forms of Green's function, and its derivatives, suitable for the calculations associated with three-dimensional ship-wave problems. Rather than infinite-range integral forms, new finite integral representations of Green's function for harmonic motions are derived for the "single-body" and "double-body" descriptions of the interactive problem. The usefulness of these finite integral descriptions is illustrated by carrying out a computing efficiency comparison with other alternative, but mathematically equivalent, descriptions of the Green's function. The calculations carried out indicate that the proposed forms of the Green function are numerically more efficient than the standard forms without affecting accuracy.

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