Evaluation of non-linear wave forces on a fixed body by the higher-order boundary element method

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 214, Issue 6, 2000, Pages 825-838

  Sung, H G ^a   Hong, S Y ^b   Choi, H S ^a  

^a Seoul National University   (South Korea)

^b Korea Research Institute of Ships and Ocean Engineering   (South Korea)

Author keywords

Biquadratic element; Discontinuous element; Generalized minimal residual (GMRES) algorithm; Non linear wave force; Non linear waves; Numerical radiation condition

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; DIFFRACTION; LINEAR ALGEBRA; LINEAR EQUATIONS; RUNGE KUTTA METHODS;

BIQUADRATIC ELEMENT; DISCONTINUOUS ELEMENT; GENERALIZED MINIMAL RESIDUAL (GMRES) ALGORITHMS; NONLINEAR WAVES; NUMERICAL RADIATION CONDITION;

WATER WAVES;

BOUNDARY ELEMENT METHOD; FIXED PLATFORM; NON-LINEAR DYNAMICS; WAVE FORCE;

BOUNDARY ELEMENT METHOD; FIXED STRUCTURE; NONLINEAR WAVE; WAVE FORCE;

EID: 0033914507     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406001523812     Document Type: Article

References (21)

1. Kim, C. H. Recent progress in numerical wave tank research. In Proceedings of the Fourth International Offshore and Polar Engineering Conference, 1995, Vol. 3, pp. 1-9.
2. Longuet-Higgins, M. S. and Cokelet, E. D. The deformation of steep surface waves on water. I: a numerical method of computations. Proc. R. Soc. Lond. A, 1976, 350, 1-26.
3. Dommermuth, D. G., Yue, D. K. P., Lin, W. M., Rapp, R. J., Chan, E. S. and Melville, W. K. Deep-water plunging breakers: a comparison between potential theory and experiments. J. Fluid Mechanics, 1988, 184, 267-288.
4. Xu, H. Numerical study of fully nonlinear water waves in three dimensions. PhD dissertation, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1992.
5. Lee, C. C., Liu, Y. H. and Kim, C. H. Simulation of nonlinear waves and forces due to transient and steady motion of submerged sphere. Int. J. Offshore Polar Engng, 1994, 4(3), 174-182.
6. Ferrant, P. Time domain computation of nonlinear diffraction loads upon three dimensional floating bodies. In Proceedings of the Fifth International Offshore and Polar Engineering Conference, 1995, Vol. 3, pp. 280-288.
7. Ferrant, P. Runup on a cylinder due to waves and currents: potential flow solution with fully nonlinear boundary conditions. In Proceedings of the Eighth International Offshore and Polar Engineering Conference, 1998, Vol. 3, pp. 332-339.
8. Boo, S. Y. and Kim, C. H. Fully nonlinear diffraction due to a vertical circular cylinder in a 3-D HOBEM numerical wave tank. In Proceedings of the Sixth International Offshore and Polar Engineering Conference, 1996, Vol. 3, pp. 23-30.
9. Kim, M. H., Celebi, M. S. and Park, J. C. Nonlinear wave-body interactions by numerical wave tank simulations. In Proceedings of the Third International Conference on Hydrodynamics, 1998, Vol. 1, pp. 139-144.
10. Chakrabarti, S. K. Hydrodynamics of Offshore Structures, 1987 (Computational Mechanics Publications, Southampton).
11. Hairer, E., Nørsett, S. P. and Wanner, G. Solving Ordinary Differential Equations, I, Nonstiff Problems, 1991 (Springer-Verlag, Berlin).
12. Broeze, J. Numerical modelling of nonlinear free surface waves with a 3D panel method. PhD thesis, University of Twente, 1993.
13. Brebbia, C. A. Topics in Boundary Element Research, Vol. 1, Basic Principles and Applications, 1984 (Springer-Verlag, Berlin).
14. Sung, H. G., Hong, S. Y. and Choi, H. S. A rational approach to free surface flow by using higher-order boundary elements. In Proceedings of the Seventh International Offshore and Polar Engineering Conference, 1997, Vol. 3, pp. 56-62.
15. Ralston, A. and Rabinowitz, P. A First Course in Numerical Analysis, 2nd edition, 1978 (McGraw-Hill, New York).
16. Li, H.-B., Han, G.-M. and Mang, H. A. A new method for evaluating singular integrals in stress analysis of solids by the direct boundary element method. Int. J. Numer. Meth. Engng, 1985, 21, 2071-2098.
17. Saad, Y. and Schultz, M. H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Statist. Comput., 1986, 7, 856-869.
18. Cointe, R. Nonlinear simulation of transient free surface flows. In Proceedings of the International Conference on Numerical Ship Hydrodynamics, Japan, 1989, pp. 239-249.
19. Rienecker, M. M. and Fenton, J.D. A Fourier approximation method for steady water waves. J. Fluid Mechanics, 1981, 104, 119-137.
20. Nestegard, A. Comparative study of fully nonlinear wave simulation programs. Technical Report 94-2401, Det Norske Veritas, 1994.
21. Chakrabarti, S. K. Second order wave forces on large vertical cylinders. J. Waterways Coastal Engng Div., ASCE, 1975, 101, 311-317.