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Development of cubic Bezier curve and curve-plane intersection method for parametric submarine hull form design to optimize hull resistance using CFD

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Abstract

Optimization analysis and computational fluid dynamics (CFDs) have been applied simultaneously, in which a parametric model plays an important role in finding the optimal solution. However, it is difficult to create a parametric model for a complex shape with irregular curves, such as a submarine hull form. In this study, the cubic Bezier curve and curve-plane intersection method are used to generate a solid model of a parametric submarine hull form taking three input parameters into account: nose radius, tail radius, and length-height hull ratio (L/H). Application program interface (API) scripting is also used to write code in the ANSYS design modeler. The results show that the submarine shape can be generated with some variation of the input parameters. An example is given that shows how the proposed method can be applied successfully to a hull resistance optimization case. The parametric design of the middle submarine type was chosen to be modified. First, the original submarine model was analyzed, in advance, using CFD. Then, using the response surface graph, some candidate optimal designs with a minimum hull resistance coefficient were obtained. Further, the optimization method in goal-driven optimization (GDO) was implemented to find the submarine hull form with the minimum hull resistance coefficient (C t ). The minimum C t was obtained. The calculated difference in C t values between the initial submarine and the optimum submarine is around 0.26%, with the C t of the initial submarine and the optimum submarine being 0.001 508 26 and 0.001 504 29, respectively. The results show that the optimum submarine hull form shows a higher nose radius (r n ) and higher L/H than those of the initial submarine shape, while the radius of the tail (r t ) is smaller than that of the initial shape.

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Authors and Affiliations

  1. Department of Naval Architecture, Diponegoro University, Semarang, 50275, Indonesia

    Deddy Chrismianto, Ahmad Fauzan Zakki & Berlian Arswendo

  2. Department of Naval Architecture and Systems Marine Engineering, Pukyong National University, Busan, 48513, South Korea

    Dong Joon Kim

Authors
  1. Deddy Chrismianto
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  2. Ahmad Fauzan Zakki
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  3. Berlian Arswendo
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  4. Dong Joon Kim
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Corresponding author

Correspondence to Deddy Chrismianto.

Additional information

Foundation item: Support by Ministry of Research, Technology, and Higher Education Republic of Indonesia, through the Budget Implementation List (DIPA) of Diponegoro University, Grant No. DIPA-023.04.02.189185/2014, December 05, 2013.

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Chrismianto, D., Zakki, A.F., Arswendo, B. et al. Development of cubic Bezier curve and curve-plane intersection method for parametric submarine hull form design to optimize hull resistance using CFD. J. Marine. Sci. Appl. 14, 399–405 (2015). https://doi.org/10.1007/s11804-015-1324-8

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  • DOI: https://doi.org/10.1007/s11804-015-1324-8

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