Wave diffraction-radiation by a ship advancing at constant speed in deep water is considered within the 3D frequency-domain potential-flow framework. The boundary-integral potential representations given in Noblesse and Yang (2004a) and Noblesse (2005), the farfield Green function given in Noblesse and Yang (2004b), and the Fourier-Kochin approach are used to obtain a practical analytical representation of the waves that correspond to a given flow at a boundary surface (ship-hull surface or control surface that surrounds a ship).
Wave diffraction-radiation by a ship advancing through regular waves at the free surface of a large body of water is considered within the 3D frequency-domain potential-flow framework. This classical problem is a basic core issue that is important for hydrodynamic hull-form design and structural analysis (notably of fast and unconventional vessels and at early stages), and is relevant for viscous ship hydrodynamics (via coupling with RANSE nearfield calculation methods). Furthermore, the added-mass and wave-damping coefficients defined within the 3D frequency-domain potential-flow approach provide useful elements for effective time-domain simulations of ship motions in large waves.
For offshore structures, robust and practical panel methods are available and used routinely to solve the canonical wave diffraction-radiation problems that yield added-mass and wave-damping coefficients, and wave exciting forces and moments. These potential-flow methods are based on numerical solution of a boundary-integral equation obtained using the classical Green function that satisfies the linear free-surface boundary condition for diffraction-radiation of time-harmonic waves without forward speed. Application of this classical approach, often identified as the free-surface Green function method in the literature, to wave diffraction-radiation by ships (i.e. with forward speed) also led to useful methods, although not to a comparable degree of practicality because forward speed introduces major difficulties.
