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 Deddy Chrismianto,Ahmad Fauzan Zakki,Berlian Arswendo,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].Journal of Marine Science and Application,2015,(4):399-405.[doi:10.1007/s11804-015-1324-8]
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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


Development of Cubic Bezier Curve and Curve-Plane Intersection Method for Parametric Submarine Hull Form Design to Optimize Hull Resistance Using CFD
Deddy Chrismianto1 Ahmad Fauzan Zakki1 Berlian Arswendo1 Dong Joon Kim2
Deddy Chrismianto1 Ahmad Fauzan Zakki1 Berlian Arswendo1 Dong Joon Kim2
1. Department of Naval Architecture, Diponegoro University, Semarang 50275, Indonesia;
2. Department of Naval Architecture and Systems Marine Engineering, Pukyong National University, Busan 48513, South Korea
submarine hull formparametric designcubic Bezier curvecurve-plane intersection methodhull resistance coefficeintparametric designgoal-driven optimization (GDO)computational fluid dynamic (CFD)ANSYS
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 DesignModeler. 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 (Ct). The minimum Ct was obtained. The calculated difference in Ct values between the initial submarine and the optimum submarine is around 0.26%, with the Ct 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 (rn) and higher L/H than those of the initial submarine shape, while the radius of the tail (rt) is smaller than that of the initial shape.


Blanchard L, Berrini E, Duvigneau R, Roux Y, Mourrain B, Jean E (2013). Bulbous bow shape optimization. V International Conference on Computational Methods in Marine Engineering (MARINE 2013), Hamburg, Germany, 1-12.
Campana EF, Peri D, Tahara Y, Stern F (2006). Shape optimization in ship hydrodynamics using computational fluid dynamics. Computer Methods in Applied Mechanics and Engineering, 196(1), 634-651. DOI: 10.1016/j.cma.2006.06.003
Chen PF, Huang CH (2004). An inverse hull design approach in minimizing the ship wave. Ocean Engineering, 31(13), 1683-1712. DOI: 10.1016/j.oceaneng.2003.08.010
Choi BK (1991). Surface modeling for CAD/CAM. Elsevier, Seoul, Korea.
Chrismianto D (2013). Parametric bulbous bow design for the minimization of ship resistance by using CFD. PhD thesis, Pukyong National University, Busan, Korea, 7-10.
Chrismianto D, Kim DJ (2014). Parametric bulbous bow design using the cubic Bezier curve and curve-plane intersection method for the minimization of ship resistance in CFD. Journal of Marine Science and Technology, 19(4), 479-492. DOI: 10.1007_s00773-014-0278-x
Diez M, Peri D, Fasano G, Campana EF (2010). Multidisciplinary robust optimization for ship design. 28th Symposium on Naval Hydrodynamic, Pasadena, USA.
Grigoropoulos GJ, Chalkias DS (2010). Hull-form optimization in calm and rough water. Computer-Aided Design, 42(11), 977-984. DOI 10.1016/j.cad.2009.11.004
Kang JY, Lee BS (2010). Mesh-based morphing method for rapid hull form generation. Computer-Aided Design, 42(11), 970-976. DOI: 10.1016/j.cad.2009.11.004
Karim MM, Rahman MM, Alim MA (2008). Numerical computation of viscous drag for axisymetric underwater vehicles. Jurnal Mekanikal, 26, 9-21.
Kim H, Yang C (2010). A new surface modification approach for CFD-based hull form optimization. International Conference on Hydrodynamics, Shanghai, China.
Lu WC, Huang JM (1998). Modification of a NURBS curve with nose features. Computer Integrated Manufacturing Systems, 11(4), 253-265. DOI: 10.1016/S0951-5240(98)00023-8
Mancuso A (2006). Parametric design of sailing hull shapes. Ocean Engineering, 33(2), 234-246. DOI: 10.1016/j.oceaneng.2005.03.007
Parsons JS, Goodson RE, Goldschmied FR (1974). Shaping of axisymmetric bodies for minimum drag in incompressible flow. Journal of Hydronautics, 8(3), 100-107. DOI: 10.2514/3.48131
Pecot F, Yvin C, Buiatti R, Maisonneuve JJ (2012). Shape optimization of a monohull fishing vessel. 12th International Conference on Computer and IT Application in the Maritime Industries, Liege, Belgium, 7-18.
Perez F, Clemente JA (2011). Constrained design of simple ship hulls with B-spline surfaces. Computer-Aided Design, 43(12), 1829-1840. DOI: 10.1016/j.cad.2011.07.008
Perez F, Suarez JA, Clemente JA, Souto A (2007). Geometric modelling of bulbous bows with the use of non-uniform rational B-spline surfaces. Journal of Marine Science and Technology, 12(2), 83-94. DOI: 10.1007/s00773-006-0225-6
Piegl L, Tiller W (1997). The NURBS book. Springer, Berlin, Germany.
Ping Z, Xiang ZD, Hao LW (2008). Parametric approach to design of hull forms. Journal of Hydrodynamics, 20(6), 804-810. DOI: 10.1016/S1001-6058(09)60019-6
Rodriguez A, Jambrina LF (2012). Programmed design of ship forms. Computer-Aided Design, 44(7), 687-696. DOI: 10.1016/j.cad.2012.03.003
Sarioz E (2006). An optimization approach for fairing of ship hull forms. Ocean Engineering, 33(16), 2105-2118. DOI: 10.1016/j.oceaneng.2005.11.014
Saxena A, Sahay B (2005). Computer aided engineering design. Anamaya Publisher, New Delhi, India.
Seo JW, Seol DM, Lee JH, Rhee SH (2010). Flexible CFD meshing strategy for prediction of ship resistance and propulsion performance. International Journal of Naval Architecture and Ocean Engineering, 2(3), 139-145. DOI: 10.3744/JNAOE.2010.2.3.139
Suman KNS, Rao DN, Das HN, Kiran GB (2010). Hydrodynamic performance evaluation of an ellipsoidal nose for high speed under water vehicle. Jordan Journal of Mechanical and Industrial Engineering, 4(5), 641-652.
Wood MP, Gonzalez LM, Izquierdo J, Sarasquete A, Rojas LP (2007). RANSE with free surface computations around fixed DTMB 5415 model and other Baliño’s fishing vessels. The 9th International Conference on Numerical Ship Hydrodynamics, Ann Arbor, Michigan, USA, 1-13.


基金项目:Supported by the Ministry of Research, Technology, and Higher Education Republic of Indonesia, through the Budget Implementation List (DIPA) of Diponegoro University, Grant No. DIPA-, December 05, 2013.
通讯作者:Deddy Chrismianto, E-mail:deddychrismianto@yahoo.co.id
Last Update: 2015-11-07