Linear and Non-Linear Calculations for the Wave-Resistance of Submerged Bodies,
ECOLE NATIONALE SUPERIEURE DE TECHNIQUES AVANCEES PALAISEAU (FRANCE)
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This report considers the case of a submerged body, for which two methods are presented. In the first part we show some results related to the solution of the 3-D Neumann-Kelvin problem the method of solution is the coupling between Finite Elements and Integral Representation F.E.I.R. devised by Jami and Lenoir. The high order of approximation allows good results with only few degrees of freedom. In the second part, we exhibit a procedure for the solution of the non-linear 2-D free-surface problem. We uses a combination of Bais localized finite element method, which accounts for the behavior of the solution at infinity, and of a fixed point algorithm for seeking the location of the free surface. We need only small calculation domains and few iterations for obtaining results which are significantly different to those deriving from the linearized theory.