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A NUMERICAL METHOD FOR SOLVING NONLINEAR SHIP-WAVE PROBLEM

Huan Zong Rong, Xiao Liang, H Wang

Abstract

A numerical method is proposed for solving nonlinear three- dimensional free surface flow around a ship. The velocity potential is expressed by using a simple source density distribution over the wetted hull surface influenced by the ship wave and over the local portion of the true free surface. The free surface equations are exact for the nonlinear condition. Upstream waves are prevented by the use of a four-point or two-point upstream finite difference operator. The method uses the iteration procedure to satisfy the nonlinear ship wave characteristics step by step, using a series of linear boundary equations.

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Key concepts: Free surface, Nonlinear system, Hull, Series (stratigraphy), Mathematics, Surface (topology), Mathematical analysis, Upstream (networking)