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UBC Theses and Dissertations

Hydrodynamic coefficients for axisymmetric bodies at finite depth Chan, Johnson L. K.


A numerical procedure for the calculation of velocity potential, for axisymmetric shapes is studied. The procedure incorporates linearized free surface and radiation conditions. Forced heave, surge, pitch induced velocity potentials and wave diffraction potentials are considered as specific applications. Details of the analytical steps necessary to reduce the three dimensional integral equations to two dimensional equivalent equations are given in the appendix. The hydrodynamic coefficients and existing forces for four well studied examples are presented and compared to published results by other numerical methods. The method studied here offers considerable savings in computer time, as the input requirements and the computational efforts are reduced by intermediate analytical steps.

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