Abstract
A domain decomposition and matching method in the time-domain is outlined for simulating the motions of ships advancing in waves. The flow field is decomposed into inner and outer domains by an imaginary control surface, and the Rankine source method is applied to the inner domain while the transient Green function method is used in the outer domain. Two initial boundary value problems are matched on the control surface. The corresponding numerical codes are developed, and the added masses, wave exciting forces and ship motions advancing in head sea for Series 60 ship and S175 containership, are presented and verified. A good agreement has been obtained when the numerical results are compared with the experimental data and other references. It shows that the present method is more efficient because of the panel discretization only in the inner domain during the numerical calculation, and good numerical stability is proved to avoid divergence problem regarding ships with flare.
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References
Chen, J. P. and Zhu, D. X., 2010. Numerical simulations of wave-induced ship motions in time domain by a Rankine panel method, Journal of Hydrodynamics, Ser. B, 22(3): 373–380.
Cummins, W. E., 1962. The impulse response function and ship motions, Schiffstechnik, 9, 101–109.
Duan, W. Y. and Dai, Y. S., 1999. Time-domain calculation of hydrodynamic forces on ships with large flare, International Shipbuilding Progress, 46(446): 223–232.
Ferrant, P., 1993. Three-dimensional unsteady wave-body interactions by a Rankine boundary element method, Ship Technology Research, 40(4): 165–175.
Finkelstein, A. B., 1957. The initial value problem for transient water waves, Communications on Pure and Applied Mathematics, 10(4): 511–522.
Gerritsma, J. and Beukelman, W., 1966. Comparison of calculated and measured heaving and pitching motions of a Series 60, Cb=0.7 ship model in regular longitudinal waves, Proc. 11th International Towing Tank Conference, Tokyo, Japan, 436–445.
ITTC Seakeeping Committee, 1978. Comparison of results obtained with compute programs to predict ship motions in six-degrees-of-freedom and associated responses, Proc. 15th ITTC, 79–92.
Kim, K. H. and Kim, Y. H., 2008. On technical issues in the analysis of nonlinear ship motion and structural loads in waves by a time-domain Rankine panel method, Proc. 23rd International Workshop on Water Waves and Floating Bodies, Jeju, Korea.
Newman, J. N., 1999. Radiation and diffraction analysis of the Mciver toroid, J. Eng. Math., 35(1–2): 135–147.
Sen, D., 2002. Time-domain computation of large amplitude 3D ship motions with forward speed, Ocean Eng., 29(8): 973–1002.
Sun, M., Liu, P. L., Sun, L. P., Li, X. and Liu, J. H., 2011. Hydrodynamic analyzing of multi-body operation in deepwater installation, Journal of Hydrodynamics, Ser. A, 26(3): 351–358. (in Chinese)
Tang, K., Zhu, R. C., Miao, G. P. and Fan, J., 2013. Calculation of retard function for time-domain analyzing floating body in waves, Journal of Shanghai Jiao Tong University, 47(2): 300–306. (in Chinese)
Wang, J. F., 2002. Numerical Simulation of the Linear Free Surface Condition, Msc. Thesis, Harbin Engineering University, Harbin. (in Chinese)
Zhu, H. R., Zhu, R. C. and Miao, G. P., 2009. The numerical simulation on the interaction between waves and ships with forward speed based on the method of time domain Green’s function, Journal of Hydrodynamics, Ser. A, 24(5): 613–621. (in Chinese)
Zhu, R. C., Miao, G. P. and You, Y. X., 2005. Influence of gaps between 3-D multiple floating structures on wave forces, Journal of Hydrodynamics, Ser. B, 17(2): 141–147.
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This work was financially supported by the National Basic Research Program of China (973 Program, Grant No. 2014CB046203).
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Tang, K., Zhu, Rc., Miao, Gp. et al. Domain decomposition and matching for time-domain analysis of motions of ships advancing in head sea. China Ocean Eng 28, 433–444 (2014). https://doi.org/10.1007/s13344-014-0035-2
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DOI: https://doi.org/10.1007/s13344-014-0035-2