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Cartesian-grid-based computational analysis for added resistance in waves

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Abstract

An Euler equation solver based on a Cartesian-grid and non-uniform staggered grid system is applied to simulate and analyze the ship motion and added resistance in waves. Water, air, and solid phases are distinguished using a volume fraction function for each phase and in each cell. To capture the water interface, the tangent of hyperbola for interface capturing scheme is used with a weighted line interface calculation method. The volume fraction of a solid body embedded in a Cartesian-grid system is calculated using a level-set algorithm, and the body boundary condition is imposed using a volume-weighted formula. Numerical simulations for a Wigley III hull and an S175 containership in regular waves are carried out to validate the newly developed code and to compare the effects of numerical methods for calculating the added resistance. All the results are compared with experimental data, and a calculation for the KRISO’s very large crude carrier 2 is also performed. From the grid convergence test for incident wave generation and the added resistance calculation, the sensitivity of the grid spacing is investigated, and the minimum requirements for the number of gird points are suggested to reliably calculate the added resistance in waves.

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Acknowledgments

This research has been partly funded by the principal R&D program of MOERI/KIOST: “Performance Evaluation Technologies of Offshore Operability for Transport and Installation of Offshore Structures” granted by the Korea Research Council of Fundamental Science and Technology. Also this study has been partly funded by Ministry of Trade, Industry and Energy (MOTIE) through the project, “Energy saving hull form and propulsion technology for green ship Development” (Project No. 10040030), and the LRF*-Funded Research Center at Seoul National University. All their supports are greatly appreciated. (*LRF: Lloyd’s Register Foundation).

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Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 151-744, Republic of Korea

    Kyung-Kyu Yang & Yonghwan Kim

  2. Offshore Plant Research Division, Korea Research Institute of Ships & Ocean Engineering, 104 Sinseong-ro, Yuseong-gu, Daejeon, 305-343, Republic of Korea

    Bo-Woo Nam

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  1. Kyung-Kyu Yang
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  2. Yonghwan Kim
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Correspondence to Yonghwan Kim.

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Yang, KK., Kim, Y. & Nam, BW. Cartesian-grid-based computational analysis for added resistance in waves. J Mar Sci Technol 20, 155–170 (2015). https://doi.org/10.1007/s00773-014-0276-z

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