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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 838354, 12 pages
Research Article

Development of an Efficient Hull Form Design Exploration Framework

1Department of Mechanical Engineering, Kyunghee University, Yongin 446-701, Republic of Korea
2Department of Computational and Data Science, George Mason University, Fairfax, VA 22030, USA

Received 16 April 2013; Accepted 24 June 2013

Academic Editor: Ming Li

Copyright © 2013 Shinkyu Jeong and Hyunyul Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A high-efficiency design exploration framework for hull form has been developed. The framework consists of multiobjective shape optimization and design knowledge extraction. In multiobjective shape optimization, a multiobjective genetic algorithm (MOGA) using the response surface methodology is introduced to achieve efficient design space exploration. As a response surface methodology, the Kriging model, which was developed in the field of spatial statistics and geostatistics, is applied. A new surface modification method using shifting method and radial basis function interpolation is also adopted here to represent various hull forms. This method enables both global and local modifications of hull form with fewer design variables. In design knowledge extraction, two data mining techniques—functional analysis of variance (ANOVA) and self-organizing map (SOM)—are applied to acquire useful design knowledge about a hull form. The present framework has been applied to hull form optimization exploring the minimum wave drag configuration under a wide range of speeds. The results show that the present method markedly reduced the design period. From the results of data mining, it is possible to identify the design variables controlling wave drag performances at different speed regions and their corresponding geometric features.