On an iterative solution for nonlinear wave calculations

This paper presents a study of a numerical ship-wave-resistance formulation based on control volume analysis with an iterative procedure, which accommodates nonlinear free surface conditions, parallel to Gadd's (1976) formulation. Gadd reported ship resistance calculations, but the exact nature of the approximations and assumptions used in the calculations were not easily available at the time. The present formulation attempts to rationalize the procedure already in use and establishes the limits of the approximations and inherent assumptions. Numerical results based on this iterative method are presented for the flow about a two-dimensional foil beneath the free surface. The numerical results are compared with published experimental measurements and other computations.