Abstract
A new multipole expansion method based on Havelock's theorem is proposed for solving the hydrodynamic problem of a submerged spheroid moving below a (linearized) free surface. In particular, the Green's function thus derived can be used to determine the forces and moments exerted on an oscillating spheroid with forward motion (radiation and wave resistance) or a fixed spheroid in the presence of a monochromatic time-harmonic incident wave (diffraction). We present a solution for the diffraction problem, including some numerical simulations for the heave, sway, and surge forces as well as yaw moments acting on a prolate rigid spheroid (depending on its eccentricity) in the case of an oblique incident wave field.
| Original language | English |
|---|---|
| Pages (from-to) | 141-154 |
| Number of pages | 14 |
| Journal | Journal of Ship Research |
| Volume | 57 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2013 |
Keywords
- Diffraction
- Green's function
- Image singularities
- Multipole expansion
- Prolate spheroids
- Radiation
- Wave resistance