Numerical Computations and Integrations of the Wave Resistance Green's Function |
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Authors: | Barbara Ponizy Michel Guilbaud Malick Ba |
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Institution: | (1) CEAT, Université de Poitiers, 43 rue de l'Aérodrome, 86036 Poitiers Cédex, France, FR;(2) ENSMA, Site du Futuroscope, Téléport n˚2, BP109, Chasseneuil du POITOU, 86960 Futuroscope Cédex, France, FR |
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Abstract: | In order to develop an efficient method, using Kelvin--Havelock singularities, to compute the steady lifting flow around
a ship with forward speed, the accuracy of computations of Green's function and boundary integrations have been investigated.
The computations have been done using interpolation from tables for the nonoscillatory term of Green's function and using
series for the oscillatory one; it has been shown that a region exists, close to the free-surface, where this last term must
be computed by complete integration to ensure a prescribed error. Three schemes of boundary integrations have been studied;
first boundary integrations have been performed using a Gauss method. Then, to improve accuracy, Fourier and boundary integrations
have been interchanged either only for the oscillatory term or for both terms. Numerical results are compared and discussed
taking into account both precision and computational time, for a submerged ellipsoid and for a lifting surface-piercing body.
Received 5 February 1998 and accepted 25 September 1998 |
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