Three dimensional Green's function for ship motion at forward speed

Abstract

The Green's function formulation for ship motion at forward speed contains double integrals with singularities in the path of integrations with respect to the wave number. In this study, the double integrals have been replaced by single integrals with the use of complex exponential integrals. It has been found that this analysis provides an efficient way of computing the wave resistance for three dimensional potential problem of ship motion with forward speed.

Keywords

• ship motion
• Green's function
• hydrodynamics
• wave resistance and wave responses.