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2-DIMENSIONAL NUMERICAL SOLUTION OF NONLINEAR FREE SURFACE PROBLEM FOR THE VERTICAL MOTION OF DIFFERENT SHIP'S SECTIONS

Claudio Mueller Prado Sampaio, K. Suzuki

Abstract

The main objective of this paper is to obtain a reliable numerical procedure to solve the two-dimensional 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 local angle was verified. For the cases 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 to be clarified if this numerical procedure is to be used as a basic solver for approximated solution of the three-dimensional problem.

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Available abstract

Key concepts: Free surface, Solver, Wedge (geometry), Nonlinear system, Constant (computer programming), Surface (topology), Mathematics, Transient (computer programming)