Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver

In this study, the hull form optimization process to minimize resistance of KCS (KRISO containership) at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mi>n</mi><mo&g...

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Main Authors: Sung-Woo Park, Seung-Hyeon Kim, Yang-Ik Kim, Inwon Lee
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/5/2428
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author Sung-Woo Park
Seung-Hyeon Kim
Yang-Ik Kim
Inwon Lee
author_facet Sung-Woo Park
Seung-Hyeon Kim
Yang-Ik Kim
Inwon Lee
author_sort Sung-Woo Park
collection DOAJ
description In this study, the hull form optimization process to minimize resistance of KCS (KRISO containership) at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mi>n</mi><mo>=</mo><mn>0.26</mn></mrow></semantics></math></inline-formula> is described. The bow hull form of KCS was modified by varying such design parameters as sectional area curve (SAC), section shape, bulb breadth, and bulb height using multiple parametric modification curves devised by the authors. The resistance performances of modified hull forms were analysed by the viscous flow Reynolds-Averaged Navier–Stokes (RANS) solver of WAVIS ver.2.2. With a view to saving computational time during iterative analyses in the optimization process, the sinkage and trim were set to the fixed values which had been obtained for the original hull form with free condition. The validity of such constant sinkage/trim was then verified by conducting analysis for the optimal hull form with free condition. Optimization to minimize the cost function of the total resistance coefficient of model <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mrow><mi>T</mi><mi>M</mi></mrow></msub></mrow></semantics></math></inline-formula> was performed by sequential quadratic programming (SQP), which is one of the gradient-based local optimization methods. Utilization of parallel computing led to the simultaneous calculation of the gradient, thereby speeding up the whole optimization process. At the design speed of 24 knots, the optimal hull yielded <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mrow><mi>T</mi><mi>M</mi></mrow></msub></mrow></semantics></math></inline-formula> reduction by 1.8%, which is extrapolated to 3.1% reduction of effective power <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>P</mi><mi>E</mi></msub></mrow></semantics></math></inline-formula> in full scale.
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spelling doaj.art-5c4a19bb94234eeebc4cbf7f8807ea212023-11-23T22:40:37ZengMDPI AGApplied Sciences2076-34172022-02-01125242810.3390/app12052428Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) SolverSung-Woo Park0Seung-Hyeon Kim1Yang-Ik Kim2Inwon Lee3Department of Naval Architecture & Ocean Engineering, Pusan National University, Busan 46241, KoreaCADAS Co., Ltd., Changwon 51139, KoreaCADAS Co., Ltd., Changwon 51139, KoreaDepartment of Naval Architecture & Ocean Engineering, Pusan National University, Busan 46241, KoreaIn this study, the hull form optimization process to minimize resistance of KCS (KRISO containership) at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mi>n</mi><mo>=</mo><mn>0.26</mn></mrow></semantics></math></inline-formula> is described. The bow hull form of KCS was modified by varying such design parameters as sectional area curve (SAC), section shape, bulb breadth, and bulb height using multiple parametric modification curves devised by the authors. The resistance performances of modified hull forms were analysed by the viscous flow Reynolds-Averaged Navier–Stokes (RANS) solver of WAVIS ver.2.2. With a view to saving computational time during iterative analyses in the optimization process, the sinkage and trim were set to the fixed values which had been obtained for the original hull form with free condition. The validity of such constant sinkage/trim was then verified by conducting analysis for the optimal hull form with free condition. Optimization to minimize the cost function of the total resistance coefficient of model <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mrow><mi>T</mi><mi>M</mi></mrow></msub></mrow></semantics></math></inline-formula> was performed by sequential quadratic programming (SQP), which is one of the gradient-based local optimization methods. Utilization of parallel computing led to the simultaneous calculation of the gradient, thereby speeding up the whole optimization process. At the design speed of 24 knots, the optimal hull yielded <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>C</mi><mrow><mi>T</mi><mi>M</mi></mrow></msub></mrow></semantics></math></inline-formula> reduction by 1.8%, which is extrapolated to 3.1% reduction of effective power <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>P</mi><mi>E</mi></msub></mrow></semantics></math></inline-formula> in full scale.https://www.mdpi.com/2076-3417/12/5/2428hull form optimizationparametric modification functionsequential quadratic programmingsimulation-based designKRISO containership (KCS)
spellingShingle Sung-Woo Park
Seung-Hyeon Kim
Yang-Ik Kim
Inwon Lee
Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
Applied Sciences
hull form optimization
parametric modification function
sequential quadratic programming
simulation-based design
KRISO containership (KCS)
title Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
title_full Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
title_fullStr Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
title_full_unstemmed Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
title_short Hull Form Optimization Study Based on Multiple Parametric Modification Curves and Free Surface Reynolds-Averaged Navier–Stokes (RANS) Solver
title_sort hull form optimization study based on multiple parametric modification curves and free surface reynolds averaged navier stokes rans solver
topic hull form optimization
parametric modification function
sequential quadratic programming
simulation-based design
KRISO containership (KCS)
url https://www.mdpi.com/2076-3417/12/5/2428
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AT seunghyeonkim hullformoptimizationstudybasedonmultipleparametricmodificationcurvesandfreesurfacereynoldsaveragednavierstokesranssolver
AT yangikkim hullformoptimizationstudybasedonmultipleparametricmodificationcurvesandfreesurfacereynoldsaveragednavierstokesranssolver
AT inwonlee hullformoptimizationstudybasedonmultipleparametricmodificationcurvesandfreesurfacereynoldsaveragednavierstokesranssolver