Acknowledgement
This research is supported by the LiaoNing Revitalization Talents Program (No. XLYC1807190, XLYC1908027); National Natural Science Foundation of China (No. 52071059).
References
- Beck, R., Liapis, S., 1987. Transient motions of floating bodies at zero forward speed. J. Ship Res. 31 (3), 164-176. https://doi.org/10.5957/jsr.1987.31.3.164
- Bingham, H.B., 2016. A note on the relative efficiency of methods for computing the transient free-surface Green function[J]. Ocean. Eng. 120, 15-20. https://doi.org/10.1016/j.oceaneng.2016.05.020
- Chuang, J.M., Qiu, W., Peng, H., 2007. On the evaluation of the time-domain Green function. Ocean. Eng. 34, 962-969. https://doi.org/10.1016/j.oceaneng.2006.05.010
- Clement, A.H., 1998. An ordinary differential equation for green function of time-domain free-surface hydrodynamics. J. Eng. Math. 33 (2), 201-217, 1998. https://doi.org/10.1023/A:1004376504969
- Datta, R., Rodrigues, J.M., Soares, C.G., 2011. Study of the motions of fishing vessels by a time domain panel method. Ocean. Eng. 38 (5), 782-792. https://doi.org/10.1016/j.oceaneng.2011.02.002
- Duan, W.Y., Dai, Y.S., 2001. New derivation of ordinary differential equations for transient free-surface Green functions. China Ocean Eng. 4, 499-507.
- Hess, J.L., Smith, A.M.O., 1964. Calculation of non-lifting potential flow about arbitrary three-dimensional bodies. J. Ship Res. 8 (2), 22-44. https://doi.org/10.5957/jsr.1964.8.4.22
- Huang, D.B., 1992. Approximation of time-domain free surface function and its spatial derivatives. Shipbuilding of China 2, 16-25.
- Hulme, A., 1982. The wave forces acting on a floating hemisphere undergoing forced periodic oscillations. J. Fluid Mech. 121, 443-463. https://doi.org/10.1017/S0022112082001980
- King, B.W., 1987. Time Domain Analysis of Wave Exciting Forces on Ships and Bodies. Ph.D. Thesis. The University of Michigan, Ann Arbor, Michigan.
- Liapis, S.J., 1986. Time Domain Analysis of Ship Motions. Ph.D. Thesis. The University of Michigan, Ann Arbor.
- Li, Z.F., Ren, H.L., Tong, X.W., Li, H., 2015. A precise computation method of transient free surface Green function. Ocean. Eng. 105, 318-326. https://doi.org/10.1016/j.oceaneng.2015.06.048
- Newman, J.N., 1992. The approximation of free-surface Green functions. In: Martin, P.A., Wickham, G.R. (Eds.), Wave Asymptotics. Cambridge University Press, Cambridge, UK, pp. 107-135.
- Shan, P.H., Wang, Y.H., Wang, F.H., Wu, J.M., Zhu, R.C., 2019. An efficient algorithm with new residual functions for the transient free surface green function in infinite depth. Ocean. Eng. 178, 435-441. https://doi.org/10.1016/j.oceaneng.2019.03.003
- Shen, L., Zhu, R.C., Miao, G.P., Liu, Y.Z., 2007. A practical numerical method for deep water time domain in Green function. Chinese Journal of Hydrodynamics 3, 380-386.
- Singh, S.P., Sen, D., 2007. A comparative linear and nonlinear ship motion study using 3-D time domain methods. Ocean. Eng. 34 (13), 1863-1881. https://doi.org/10.1016/j.oceaneng.2006.10.016
- Sun, L., 2009. A Study of Ship-Generated Waves and its Effects on Structures. Ph.D.Thesis. The Dalian University of Technology, Dalian.
- Sun, W., Ren, H.L., 2018. Ship motions with forward speed by time-domain Green function method. Chinese Journal of Hydrodynamics 33 (2), 216-222.
- Tong, X.L., 2013. Three Dimensional Time Domain Hybrid Method for Ship and Marine Structure Motions. Ph.D.Thesis. Harbin Engineering University, Harbin.
- Wehausen, J.V., Laitone, E.V., 1960. Surface Waves. Encyclopedia of Physics, Vol. IX/Fluid Dynamics III. Springer-Verlag, Berlin, pp. 446-778.
- Zhang, G.Y., Wang, S.Q., Sui, Z.X., Sun, L., Zhang, Z.Q., Zong, Z., 2019. Coupling of SPH with smoothed point interpolation method for violent fluid structure interaction problems. Eng. Anal. Bound. Elem. 103, 1-10. https://doi.org/10.1016/j.enganabound.2019.02.010
- Zhong, W.X., 2004. On precise integration method. J. Comput. Appl. Math. 163, 59-78. https://doi.org/10.1016/j.cam.2003.08.053