2-Dimensional Numerical Solution of Nonlinear Free Surface Problem for the Vertical Motion fo Different Ship's Sections

Abstract

The main objective in the present work is to have a reliable numerical procedure to solve the two-dimensioanl problem of different shapes entering the flat water surface. A computer program that uses the Boundary Element Technique and the complex velocity potential was implemented. The transient motion and the entry at constant speed of different wedge shapes have been considered. Different arrangements of free surface, body surface and time step discretization have been employed. The importance of the body's surface local angle was verified. For the cases that had been undertaken it was observed that the nodal point distribution and the time step selection have a more significant influence for the entry at constant speed than for the transient motion, at least for the assumed velocities. Some numerical aspects need still to be clarified if this numerical procedure is to be used as a basic solver for approximated solution of the tree-dimensional problem.