Wave forces on stationary slender bodies

A theory is presented for the prediction of the wave forces on ships and the pressure field on slender bodies vibrating in an acoustic medium. In both radiation and diffraction the flow in the near field is approximated by a sequence of two-dimensional problems supplemented with homogeneous components which account for longitudinal flow interactions. These are matched to three-dimensional far-field approximations represented by axial source distributions and two integral equations are solved for their strengths. The theory is valid from the incompressible long-wavelength limit to wavelengths comparable to the body beam. Comparisons of wave forces and the acoustic radiation impedance pressure are in very good agreement with exact solutions. It is shown that the asymptotic matching conserves energy.