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Development of a time domain boundary element method for numerical analysis of floating bodies’ responses in waves

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Abstract

This article presents the development of a numerical tool for seakeeping simulations of marine systems using a time domain boundary element method based on Rankine sources. The formulation considers two initial boundary value problems defined for the velocity and acceleration potentials, the last being used to avoid numerical problems in calculating the time derivatives of the velocity potential. A fourth-order Runge–Kutta method is used for the time marching of the problem, which consists in the integration of the free surface conditions and body equations of motion. Numerical test cases are presented for bodies with simplified geometries, such as an hemisphere and a circular section cylinder. Exciting forces, added mass and radiation damping coefficients, and motions response amplitude operators are compared to analytical and numerical data, presenting a very good agreement. Furthermore, the numerical method is applied to a floating production storage and Off-loading unit and the results are verified with experimental data carried out in the hydrodynamic calibrator of the University of Sao Paulo. By means of these investigations, we have verified that the developments performed so far are correct and new extensions, therefore, may be planned for more complex applications.

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Acknowledgments

The authors gratefully acknowledge Petrobras for sponsoring this research project and also for making the experimental data available for the verification of our method. Furthermore, the first and second authors acknowledge FAPESP for their scholarships (Proceedings No. 2010/08778-2 and Proceedings No. 2012/06681-7).

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Authors and Affiliations

  1. Numerical Offshore Tank, Av. Prof. Mello Moraes 2231, Cidade Universitaria, Sao Paulo, Brazil

    Rafael A. Watai, Felipe Ruggeri, Claudio M. P. Sampaio & Alexandre N. Simos

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  1. Rafael A. Watai
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  2. Felipe Ruggeri
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  3. Claudio M. P. Sampaio
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  4. Alexandre N. Simos
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Correspondence to Rafael A. Watai.

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Technical editor: Celso Kazuyuki Morooka.

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Watai, R.A., Ruggeri, F., Sampaio, C.M.P. et al. Development of a time domain boundary element method for numerical analysis of floating bodies’ responses in waves. J Braz. Soc. Mech. Sci. Eng. 37, 1569–1589 (2015). https://doi.org/10.1007/s40430-015-0369-6

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  • DOI: https://doi.org/10.1007/s40430-015-0369-6

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