Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2050, 2004, Pages 2797-2817

  Wu, G X ^a   Hu, Z Z ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Bottom mounted and truncated cylinders; Finite element method; FPSO; Nonlinear wave body interactions; Numerical tank; Tri tree based hybrid mesh

Indexed keywords

ARTICLE; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; FORCE; HYDRODYNAMICS; INSTRUMENTATION; MATHEMATICAL ANALYSIS; MOTION; NONLINEAR SYSTEM; PHYSICAL CHEMISTRY; STORAGE; SURFACE PROPERTY; TANK; VELOCITY; WAVEFORM;

EID: 17144363678     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2004.1302     Document Type: Article

References (22)

1. Celebi, M. S., Kim, M. H. & Beck, R. F. 1998 Full nonlinear 3D numerical wave tank simulation. J. Ship Res. 42(1), 33-45.
2. Clauss, G. F. & Steinhagen, U. 1999 Numerical simulation of nonlinear transient waves and its validation by laboratory data. In Proc. 9th Int. Offshore and Polar Engineering Conf., Brest, France, pp. 368-375.
3. Faltinsen, O. M. 1977 Numerical solution of transient nonlinear free surface motion outside or inside moving bodies. In Proc. 2nd Int. Conf. on Numerical Ship Hydrodynamics, Berkeley, CA, USA, pp. 347-357.
4. Ferrant, P. 1994 Radiation and diffraction of nonlinear waves in three dimensions. In Proc. 7th Int. Conf. on Behaviour of Offshore Structures, MIT, USA, pp. 507-524.
5. Hu, P. X., Wu, G. X. & Ma, Q. W. 2002a Numerical simulation of nonlinear wave radiation by a moving vertical cylinder Ocean Engng 29, 1733-1750.
6. Hu, Z. Z., Greaves, D. M. & Wu, G. X. 2002b Numerical simulation of fluid flows using an unstructured finite volume method with adaptive tri-tree grids. Int. J. Numer. Meth. Fluids 39, 403-440.
7. Lin, W. M., Newman, J. N. & Yue, D. K. 1984 Nonlinear forced motion of floating bodies. In Proc. 15th Symp. on Naval Hydrology, Hamburg, Germany, pp. 33-49.
8. Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves on water. I. A numerical method of computation. Proc. R. Soc. Lond. A 350, 1-26.
9. Ma, Q. W., Wu, G. X. & Eatock Taylor, R. 2001a Finite element simulation of fully non-linear interaction between vertical cylinders and steep waves. Part 1. Methodology and numerical procedure. Int. J. Numer. Meth. Fluids 36, 265-285.
10. Ma, Q. W., Wu, G. X. & Eatock Taylor, R. 2001b Finite element simulation of fully non-linear interaction between vertical cylinders and steep waves. Part 2. Numerical results and validation. Int. J. Numer. Meth. Fluids 36, 287-308.
11. Nestegard, A. 1999 Status of nonlinear hydrodynamic modelling. Technical report, DNV, Norway.
12. Retzler, C. H., Chanplin, J. R. & Rainey, R. C. T. 2000 Transient motion of a vertical cylinder: measurements and computations of the free surface. In Proc. 15th Int. Workshop on Water' Waves and Floating Bodies, Israel, pp. 154-157.
13. Robertson, I. & Sherwin, S. 1999 Free-surface flow simulation using hp/spectral elements. J. Computat. Phys. 155, 26-53
14. Vinje, T. & Brevig, P. 1981 Nonlinear ship motion. In Proc. 3rd Int. Conf. on Numerical Ship Hydrodynamics, Paris, France, pp. 257-268.
15. Wu, G. X. 1998 Hydrodynamics force on a rigid body during impact with liquid. J. Fluids Struct. 12, 549-559.
16. Wu, G. X. & Eatock Taylor, R. 1994 Finite element analysis of two dimensional non-linear transient water waves. Appl. Ocean Res. 16, 363-372.
17. Wu, G. X. & Eatock Taylor, R. 1995 Time stepping solutions of the two dimensional non-linear wave radiation problem. Ocean Engng 22, 785-798.
18. Wu, G. X. & Eatock Taylor, R. 1996 Transient motion of a floating body in steep waves. In 11th Int. Workshop on Water and Floating Bodies, Hamburg.
19. Wu, G. X. & Eatock Taylor, R. 2003 The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies. Ocean Engng 30, 387-400.
20. Wu, G. X., Ma, Q. W. & Eatock Taylor, R. 1996 Analysis of interactions between nonlinear waves and bodies by domain decomposition. In 21st Symp. on Naval Hydrodynamics, Trondheim, Norway, pp. 110-119.
21. Wu, G. X., Ma, Q. W. & Eatock Taylor, R. 1998 Numerical simulation of sloshing waves in a 3D tank based on a finite element method. Appl. Ocean Res. 20, 337-355.
22. Zienkiewicz, O. C. & Zhu, J. Z. 1992 The superconvergent patch recovery and a posterior error estimators. Part 1: the recovery technique. Int. J. Numer. Meth. Engng 33, 1331-1364.