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A novel numerical method for the hydrodynamic analysis of floating bodies over a sloping bottom

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Abstract

A novel numerical method combining Eigenfunction matching method (EMM) and 3D Rankine source method is developed to investigate wave-body interaction over a sloping bottom. The extended EMM is proposed to create an incident wave model over the sloping bottom, thereby obtaining the Froude-Krylov force and Neumann data on wet surfaces of the floating body for the diffraction problem. A 3D Rankine source method concerning the sloping bottom is developed, in which the free surface and seabed are both divided into the inner domain and outer domain. Source panels are placed in an exponential manner in the latter domain, by which the far field radiation condition is well satisfied. To verify the proposed method, comparisons with other mathematical models involving added mass and damping coefficients, wave exciting forces and motion RAOs by a floating hemisphere and a LNG carrier are carried out.

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Acknowledgements

We thank Dr. Bas Buchner from MARIN for providing us the hydrodynamic model of a LNG carrier. And we also greatly acknowledge the supports of the National Natural Science Foundation of China (Grants 51709170, 51979167), the Ministry of Industry and Information Technology (Mooring position technology: floating support platform engineering(II)), and the Shanghai Sailing Program (Grant 17YF1409700).

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Authors and Affiliations

  1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Xiaolei Liu, Xuefeng Wang & Shengwen Xu

  2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai, 200240, People’s Republic of China

    Xiaolei Liu, Xuefeng Wang & Shengwen Xu

  3. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Xiaolei Liu, Xuefeng Wang & Shengwen Xu

  4. School of Ocean Engineering, Jiangsu Ocean University, Jiangsu, 222000, People’s Republic of China

    Quanming Miao

  5. China Ship Scientific Research Center, Jiangsu, 214082, People’s Republic of China

    Huiqu Fan

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  1. Xiaolei Liu
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  2. Quanming Miao
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  3. Xuefeng Wang
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  4. Shengwen Xu
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Correspondence to Xuefeng Wang.

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Liu, X., Miao, Q., Wang, X. et al. A novel numerical method for the hydrodynamic analysis of floating bodies over a sloping bottom. J Mar Sci Technol 26, 1198–1216 (2021). https://doi.org/10.1007/s00773-020-00795-6

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  • DOI: https://doi.org/10.1007/s00773-020-00795-6

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