Solving a radiation problem with forward speed using a lifting surface method with a Green's function

The progress of seakeeping computations requires development of computating codes for unsteady flows around a ship or its elements. In this paper, we present a method of calculation concerning waves radiated by an oscillating surface-piercing flat plate with forward speed, with a yaw angle. By use of Green's third identity, the problem is transformed into the resolution of a Fredholm integral equation of the first kind by a panel method using Green's function. The Green's diffraction-radiation function with forward speed is used. Its numerical values are calculated by an adaptative integration procedure to reduce the computation time. The present method permits determination of the pressure jump distribution across the plate, the total forces and moments. The results obtained are compared with other numerical methods in hydrodynamics and in aerodynamics, and with experimental data obtained in a water tank.