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Practical Design of Ships and Other Floating Structures                  43
        You-Sheng Wu, Wei-Cheng Cui and Guo-Jun Zhou (Eds)
        0 2001 Elsevier Science Ltd.  All rights reserved








                   OPTIMIZATION OF A WAVE CANCELLATION
                       MULTIHULL SHIP USING CFD TOOLS

                                  C. Yang, R. Lohner and 0. Soto
                       School of Computational Sciences, George Mason University
                                  Fairfax VA 22030-4444, USA



        ABSTRACT

        A  simple CFD tool, coupled to a discrete surface representation and a gradient-based optimization
        procedure, is applied to the design of optimal hull forms and optimal arrangement of hulls for a wave
        cancellation multihull ship. The CFD tool, which is used to estimate the wave drag, is based on the
        zeroth-order slender ship approximation. The hull surface is represented by a triangulation, and almost
        every grid point on the surface can be used as a design variable. A smooth surface is obtained via a
        simplified pseudo-shell problem. The optimal design process consists of two steps. The optimal center
        and outer hull forms are determined independently in the fust step,  where each hull keeps the same
        displacement as the  original design  while  the  wave  drag  is  minimized.  The  optimal  outer-hull
        arrangement is determined in the second step for the optimal center and outer hull forms obtained in
        the  first  step.  Results  indicate that  the  new  design can achieve a large wave drag reduction in
        comparison to the original design configuration.


        KEYWORDS

        Hull  form  design,  Hull  form  optimization,  Wave  cancellation multihull  ship,  Trimaran,  Wave
        resistance, CFD tools, Slender ship approximation, Surface parameterization.


        1  INTRODUCTION
        A  small-water-plane area,  tri-hull ship, termed  the wave  cancellation multihull ship (or trimaran),
        offers the possibility of dramatic wave drag reduction due to wave cancellation. Experimental evidence,
        e.g. by Wilson et. al. (1993)  indicates that indeed these gains are achievable. From a design point of
        view, an important question that requires attention is how to deal with these types of multihull ships
        inside a general design framework.  For example: should one optimize hull position ,and shape at the
        same time,  or  first obtain an optimal placement  of hulls,  followed  by  an optimal hull shape? The
        answer is not obvious.
        As a first attempt to solve such a general design problem, a two-step design process is employed in the
        present paper. The optimal center and outer hull forms are determined independently in the first step,
        where each hull keeps the same displacement  as the original design while the wave drag is minimized.
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