Computation of free surface flow around a ship in shallow water using a potential based panel method

Abstract

This paper presents a potential based boundary element method for solving a nonlinear free surface flow problem for a ship moving with a uniform speed in shallow water. The free surface boundary condition is linearized by the systematic method of perturbation in terms of a small parameter up to second order. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The second order solution gives better result than the first order solution. So the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship in shallow water.