Wave interaction with large submerged objects

Abstract

The practical and rigorous solutions of the potential problem associated with the harmonic oscillation of a submerged rigid body of arbitrary shape is presented. The use of Green's function reduces the determination of the potential to the solution of an integral equation. The integral equation is solved numerically and the dependency of the hydrodynamic quantities such as added mass and damping coefficients of the object on the frequency of the oscillation is established. Several checks are made on the numerical results. These include the Haskind's relations check, an energy check for the radiation problem, and comparisons with closed form solutions. All the checks and comparisons are successful and it appears that the numerical procedure employed yields valid and accurate results.