A numerical study of the second-order wave excitation of ship springing by a higher-order boundary element method

Open access

ABSTRACT

This paper presents some of the efforts by the authors towards numerical prediction of springing of ships. A time-domain Higher Order Boundary Element Method (HOBEM) based on cubic shape function is first presented to solve a complete second-order problem in terms of wave steepness and ship motions in a consistent manner. In order to avoid high order derivatives on the body surfaces, e.g. mj-terms, a new formulation of the Boundary Value Problem in a body-fixed coordinate system has been proposed instead of traditional formulation in inertial coordinate system. The local steady flow effects on the unsteady waves are taken into account. Double-body flow is used as the basis flow which is an appropriate approximation for ships with moderate forward speed. This numerical model was used to estimate the complete second order wave excitation of springing of a displacement ship at constant forward speeds.

Bishop, R.E.D., Price, W.G. and Tam, P.K.Y., 1977. A unified dynamic analysis of ship response to waves. Royal Institution of Naval Architects Spring Meeting, pp.363-390.

Büchmann, B., 2000. Time-domain modeling of run-up on offshore structures in waves and currents. Ph.D. thesis. Department of Hydrodynamics and Water Resources, Technical University of Denmark.

Faltinsen, O. and Chezhian M., 2005. A generalized wagner method for three-dimensional slamming. Journal of Ship Research, 591(4), pp.279-287.

Faltinsen, O.M., 1971. Wave forces on a restrained ship in head sea waves. Ph.D thesis. The University of Michigan.

Faltinsen, O.M. and Timokha, A.N., 2009. Sloshing. Cambridge: Cambridge University Press.

Faltinsen, O.M. and Timokha, A.N., 2014. Analytically approximate natural sloshing modes and frequencies in two-dimensional tank. Euroup Journal of Mechanics, B/Fluids, 47, pp.176-187.

Helmers, J.B. and Skeie, G., 2013. A meshless boundary element method for simulating slamming in context of generalized wagner. Odd M. Faltinsen Honoring Symposium on Marine Hydrodynamics, Nantes, France, 9-14 June 2013, pp.V009T12A046.

Jensen, J.J., 2000. Extreme hull girder loading, Report of ISSC committee VI.1. Amsterdam: Elsevier.

Khabakhpasheva, T.I., Kim, Y.H. and Korobkin, A.A., 2014. Generalised Wagner model of water impact by numerical conformal mapping. Applied Ocean Research, 44, pp.29-38.

Kim, M.H., 1988. The complete second-order diffraction and radiation solution for an axisymmetric body. PhD Thesis. MIT.

Korobkin, A.A., 2011. Semi-analytical approach in generalized wagner model. 26th International Workshop on Water Waves and Floating Bodies, Greece, 17-20 April 2011.

Maeda, H., 1980. On the theory of coupled ship motions and vibrations, Report No.232. Ann Arbor: The University of Michigan, Department of Naval Architecture and Marine Engineering.

Miyake, R., Matsumoto, T., Zhu, T. and Abe, N., 2008. Experimental studies on the hydroelastic response due to springing using a flexible mega-container ship model. 8th International Conference on Hydrodynamics, Nantes, 1-3 October 2008.

Molin B. and Chen X. B., 1990. Calculation of second-order sum-frequency loads on TLP hulls. Rueil-Malmaison, France: Institute Français du Petrole.

Shao, Y.L., 2010. Numerical potential-flow studies on weakly-nonlinear wave-body interactions with/without small forward speeds. PhD thesis. Dept of Marine Technology, NTNU.

Shao, Y.L. and Faltinsen O.M., 2010. Use of body-fixed coordinate system in analysis of weakly-nonlinear wave-body problems. Applied Ocean Research, 32(1), pp.20-33.

Shao, Y.L. and Faltinsen, O.M., 2012a. A numerical study of the second-order wave excitation of ship springing with infinite water depth. Journal of Engineering for the Maritime Environment, 226(2), pp.103-119.

Shao, Y.L. and Faltinsen, O.M., 2012b. Linear seakeeping and added resistance analysis by means of body-fixed coordinate system. Journal of Marine Science and Technology, 17, pp.493-510.

Shao, Y.L. and Faltinsen, O.M., 2013. Second-order diffraction and radiation of a floating body with small forward speed. Journal of Offshore Mechanics and Arctic Engineering, 135(1), pp.011301-011310.

Shao, Y.L. and Helmers, J.B., 2014. Numerical analysis of second-order wave loads on large-volume marine structures in a current. 33rd International Conference on Ocean, Offshore and Arctic Engineering, San Francisco, CA, 8-13 July 2014, pp.V01BT01A049.

Skjørdal, S.O. and Faltinsen, O.M., 1980. A linear theory of springing. Journal of Ship Research, 24(2), pp.74-84.

Slocum, S. and Troesch, A.W., 1983. Nonlinear Ship Springing Experiments. Report No.266. Ann Arbor: The University of Michigan, Department of Naval Architecture and Marine Engineering.

Storhaug, G., 2007. Experimental investigation of wave induced vibrations and their effect on the fatigue loading of ships. Ph.D Thesis, Dept. Marine Technology, NTNU.

Söding, H., 2009. Computation of springing transfer functions. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 223(3), pp.291-304.

Tian, C. and Wu, Y.S., 2006. The non-linear hydroelastic responses of a ship travelling in waves. In: Y. S. Wu and W.C. Cui, ed. Hydroelasticity in marine technology. Beijing, China: National Defense Industry Press.

Tuitman, J.T. and Malenica, S., 2009. Fully coupled seakeeping, slamming, and whipping calculations. Proceedings of the Institution of Mechanical Engineers. Part M: Journal of Engineering for the Maritime Environment. 223(3), pp.439-456.

Vidic-Perunovics, J. and Jensen, J.J., 2005. Non-linear springing excitation due to a bidirectional wave field. Marine Structures, 18, pp.332-358.

von Graefe, A., Moctar, O., Oberhagemann, J. and Shigunov, V., 2014. Linear and nonlinear sectional loads with potential and field methods. Journal of Offshore Mechanics and Arctic Engineering, 136(3), pp.031602-031611.

Winterstein, S.R., Ude, T.C. and Marthinsen, T., 1994. Volterra models of ocean structures: Extreme and fatigue reliability. Journal of Engineering Mechanics, 120(6), pp.1369-1385.

Wu, Y.S., Maeda, H. and Kinoshita, T., 1997. The second order hydrodynamic actions on a flexible body. Journal of the Indian Institute of Science, 49(4), pp.8-19.

Zhao, R., Faltinsen, O. and Aarsnes, J., 1997. Water entry of arbitrary two-dimensional sections with and without flow separation. Proceedings of 21st Symposium on Naval Hydrodynamics, Trondheim, Norway, 24-28 June 1996, pp. 408-423.

Journal Information


IMPACT FACTOR 2017: 0.930
5-year IMPACT FACTOR: 0.997

CiteScore 2017: 1.15

SCImago Journal Rank (SJR) 2017: 0.571
Source Normalized Impact per Paper (SNIP) 2017: 1.085

Metrics

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 203 176 10
PDF Downloads 68 65 3