QALE-FEM for numerical modelling of non-linear interaction between 3D moored floating bodies and steep waves

International Journal for Numerical Methods in Engineering

Volumn 78, Issue 6, 2009, Pages 713-756

  Ma, Q W ^a   Yan, S ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

3D floating bodies; Freely responses to waves with six degrees of freedom (DoFs); Iterative procedure; Non linear water waves; QALE FEM; Spring analogy method

Indexed keywords

3D FLOATING BODIES; FREELY RESPONSES TO WAVES WITH SIX DEGREES OF FREEDOM (DOFS); ITERATIVE PROCEDURE; NON-LINEAR WATER WAVES; QALE-FEM; SPRING ANALOGY METHOD;

ELECTRIC ARC WELDING; FINITE ELEMENT METHOD; HYDRODYNAMICS; MECHANICS; THREE DIMENSIONAL; TWO DIMENSIONAL; WATER WAVES; WAVE TRANSMISSION;

STATIC RANDOM ACCESS STORAGE;

EID: 65449184488     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2505     Document Type: Article

References (65)

1. Beck RF, Reed AM. Modern seakeeping computations for ships. Proceedings of 23rd ONR Symposium on Naval Hydrodynamics, Val de Reuil, France, 2000; 1-45.
2. Eatock Taylor R. On modelling the diffraction of water waves. Ship Technology Research 2007; 54:54-80.
3. Liu Y, Xue M, Yue DKP. Computations of fully non-linear three-dimensional wave-wave and wave body interactions. Part 2. Nonlinear waves and forces on a body. Journal of Fluid Mechanics 2001; 438:41-66.
4. Yan S, Ma QW. Numerical simulation of fully non-linear interaction between steep waves and 2D floating bodies using the QALE-FEM method. Journal of Computational Physics 2007; 221:666-692.
5. Clauss GF, Steinhagen U. Numerical simulation of non-linear transient waves and its validation by laboratory data. Proceedings of Ninth International Offshore and Polar Engineering Conference (ISOPE1999), Brest, France, 1999; 368-375.
6. Lachaume C, Biausser B, Grilli ST, Fraunie P, Guignard S. Modeling of breaking and post-breaking waves on slopes by coupling of BEM and VOF methods. Proceedings of 13th International Offshore and Polar Engineering Conference (ISOPE2003), Honolulu, HI, United States, 2003; 1698-1704.
7. Yang C, Lohner R, Lu H. An unstructured-grid based volume-of-fluid method for extreme wave and freely-floating structure interactions. Journal of Hydrodynamics, Series B 2006; 18:415-422.
8. Idelsohn SR, Oñate E, Del Pin F, Calvo N. Fluid-structure interaction using the particle finite element method. Computer Methods in Applied Mechanics and Engineering 2006; 195:2100-2123.
9. Yan S, Ma QW. QALE-FEM for modelling 3D overturning waves. Submitted for publication. Some results are given at www.staff.city.ac.uk/q.ma, 2008.
10. Turnbull MS, Borthwick AGL, Eatock Taylor R. Wave-structure interaction using coupled structured-unstructured finite element meshes. Applied Ocean Research 2003; 25:63-77.
11. Heinze C. Nonlinear hydrodynamic effects on fixed and oscillating structures in waves. Ph.D. Thesis, Department of Engineering Science, Oxford University, 2003.
12. Wang CZ, Wu GX. An unstructured-mesh-based finite element simulations with non-wall-sided bodies. Journal of Fluids and Structures 2006; 22:441-461.
13. Wu GX, Eatock Taylor R. Transient motion of floating body in steep water waves. Proceedings of the 11th International Workshop on Water Waves and Floating Bodies, Hamburg, 1996.
14. Dalen EFG. Numerical and theoretical studies on water waves and floating bodies. Ph.D. Thesis, University of Twente, Enschede, 1993.
15. Cao Y, Beck RF, Schultz WW. Nonlinear computation of wave loads and motions of floating bodies in incident waves. Proceedings of Ninth International Workshop on Water Waves and Floating Bodies, Kuju, Oita, Japan, 1994; 33-37.
16. Contento G. Numerical wave tank computations of nonlinear motions of two-dimensional arbitrarily shaped free floating bodies. Ocean Engineering 2000; 27:531-556.
17. Kashiwagi M. Nonlinear simulations of wave-induced motions of a floating body by means of the mixed Eulerian-Lagrangian method. Proceedings of the Institution of Mechanical Engineers. Part C, Journal of Mechanical Engineering Science 2000; 214:841-855.
18. Wu GX, Eatock Taylor R. The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies. Ocean Engineering 2003; 30:387-400.
19. Koo W, Kim M. Freely floating body simulation by a 2D fully nonlinear numerical wave tank. Ocean Engineering 2004; 31:2011-2046.
20. Yan S, Ma QW. Effects of an arbitrary sea bed on responses of moored floating structures to steep waves. Proceeding of 17th International Offshore and Polar Engineering Conference (ISOPE2007), Lisbon, Portugal, 2007; 2192-2199.
21. Ferrant P. Fully nonlinear interactions of long-crested wave packets with a three-dimensional body. Proceedings of the 22nd ONR Symposium on Naval Hydrodynamics, Washington, DC, 1998; 403-415.
22. Ma QW. Numerical simulation of nonlinear interaction between structures and steep waves. Ph.D. Thesis, Department of Mechanical Engineering, University College London, U.K., 1998.
23. Büchmann B, Ferrant P, Skourup J. Run-up on a body in waves and current. Fully nonlinear and finite-order calculations. Applied Ocean Research 2000; 22:349-360.
24. Ma QW, Wu GX, Eatock Taylor R. Finite element simulation of fully non-linear interaction between vertical cylinders and steep waves. Part 1: methodology and numerical procedure. International Journal for Numerical Methods in Fluids 2001; 36(3):265-285.
25. Ma QW, Wu GX, Eatock Taylor R. Finite element simulation of fully non-linear interaction between vertical cylinders and steep waves. Part 2: numerical results and validation. International Journal for Numerical Methods in Fluids 2001; 36(3):287-308.
26. Celebi MS. Nonlinear transient wave-body interactions in steady uniform currents. Computer Methods in Applied Mechanics and Engineering 2001; 190:5149-5172.
27. Corte C, Grilli ST. Numerical modeling of extreme wave slamming on cylindrical offshore support structures. Proceedings of 16th Offshore and Polar Engineering Conference (ISOPE06), San Francisco, CA, 2006; 394-401.
28. Wang CZ, Wu GX, Drake KR. Interactions between nonlinear water waves and non-wall-sided 3D structures. Ocean Engineering 2007; 34:1182-1196.
29. Bai W, Eatock Taylor R. Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition. Applied Ocean Research 2007; 29:55-71.
30. Scorpio S, Beck RF, Korsrneyer T. Nonlinear water waves computations using a multipole accelerated desingularized method. Proceedings of 21st Symposium on Naval Hydrodynamics, Norwegian Institute of Technology, Trondheim, Norway, 1996; 64-75.
31. Celebi MS, Kim MH, Beck RF. Fully nonlinear 3D numerical wave tank simulation. Journal of Ship Research 1998; 42:33-45.
32. Kim MH, Celebi MS, Kim DJ. Fully nonlinear interactions of waves with a three-dimensional body in uniform currents. Applied Ocean Research 1998; 20:309-321.
33. Bai W, Eatock Taylor R. Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders. Applied Ocean Research 2006; 28:247-265.
34. Tanizawa K, Minami M. Development of a 3D-NWT for simulation of running ship motions in waves. International Workshop on Water Waves and Floating Bodies, Hiroshima, Japan, 2001.
35. Longuet-Higgins MS, Cokelet ED. The deformation of steep waves on water: I. A numerical method of computation. Proceedings of the Royal Society of London, Series A 1976; 350:1-26.
36. Vinje T, Brevig P. Nonlinear ship motion. Proceeding of Third International Conference on Numerical Ship Hydrodynamics, Paris, France, 1981; 257-268.
37. Lin WM, Newman JN, Yue DKP. Nonlinear forced motion of floating bodies. Proceedings of 15th Symposium on Naval Hydrology, Hamburg, Germany, 1984; 33-49.
38. Wang P, Yao Y, Tulin M. An efficient numerical tank for nonlinear water waves, based on the multi-subdomain approach with BEM. International Journal for Numerical Methods in Fluids 1995; 20:1315-1336.
39. Grilli ST, Guyenne P, Dias F. A fully nonlinear model for three-dimensional overturning waves over arbitrary bottom. International Journal for Numerical Methods in Fluids 2001; 35:829-867.
40. Kashiwagi M. Full-nonlinear simulations of hydrodynamic forces on a heaving two-dimensional body. Journal of the Society of Naval Architects of Japan 1996; 180:373-381.
41. Cao Y, Schultz WW, Beck RF. Three-dimensional desingularised boundary integral method for potential problems. International Journal for Numerical Methods in Fluids 1991; 12:785-803.
42. Fochesato C, Dias F. A fast method for nonlinear three-dimensional free-surface waves. Proceedings of the Royal Society of London, Series A 2006; 462:2715-2735.
43. Wu GX, Eatock Taylor R. Finite element analysis of two dimensional non-linear transient water waves. Applied Ocean Research 1994; 16:363-372.
44. Wu GX, Eatock Taylor R. Time stepping solution of the two dimensional non-linear wave radiation problem. Ocean Engineering 1995; 22:785-798.
45. Westhuis JH, Andonowati AJ. Applying the finite element method in numerically solving the two dimensional free-surface water wave equations. In Proceedings of 13th International Workshop on Water Waves and Floating Bodies, Hermans AJ (ed.). Alphenaan den Rijn: The Netherlands, 1998; 171-174.
46. Wu GX, Hu ZZ. Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank. Proceedings of the Royal Society of London, Series A 2004; 460:3037-3058.
47. Ma QW, Yan S. Quasi ALE finite element method for nonlinear water waves. Journal of Computational Physics 2006; 212:52-72.
48. Tanizawa K. A nonlinear simulation method of 3-D body motions in waves: formulation with the acceleration potential. Proceedings of 10th International Workshop on Water Waves and Floating Bodies, Oxford, U.K., 1995.
49. Tanizawa K. A nonlinear simulation method of 3-D body motions in waves (1st Report): formulation of the method with acceleration potential. Journal of the Society of Naval Architects of Japan 1995; 178:179-191.
50. Tanizawa K, Minami M. On the accuracy of NWT for radiation and diffraction problem. Proceeding of Sixth Symposium on Nonlinear and Free-surface Flow, Hiroshima, Japan, 1998.
51. Tanizawa K, Minami M, Naito S. Estimation of wave drift force by numerical wave tank. Proceeding of Ninth International Offshore and Polar Engineering Conference (ISOPE1999), Brest, vol. 3, 1999; 323-330.
52. Kashiwagi M, Momoda T, Inada M. A time-domain nonlinear simulation method for wave-induced motions of a floating body. Journal of the Society of Naval Architects of Japan 1998; 84:143-152.
53. Tanizawa K. The state of the art on numerical wave tank. Proceeding of Fourth Osaka Colloquium on Seakeeping Performance of Ships, Osaka, Japan, 2000; 95-114.
54. Yan S. Numerical simulation of nonlinear response of moored floating structures to steep waves. Ph.D. Thesis, School of Engineering and Mathematical Sciences, City University, London, U.K., 2006.
55. Ma QW, Patel MH. On the nonlinear forces acting on a floating spar platform in ocean waves. Applied Ocean Research 2001; 23:29-40.
56. Frey PJ, Borouchaki H, George P. 3D Delaunay mesh generation coupled with an advancing-front approach. Computer Methods in Applied Mechanics and Engineering 1998; 157:115-131.
57. Batina JT. Unsteady Euler airfoil solutions using unstructured dynamic meshes. AIAA Paper 89-0115, 27th AIAA Aerospace Sciences Meeting, Reno, NV, 1989.
58. Farhat C, Degand C, Koobus BM, Lesoinne M. A three-dimensional torsional spring analogy method for unstructured dynamic meshes. Computers and Structures 2002; 80:305-316.
59. Bottasso CL, Detomi D, Serra R. The ball-vertex method: a new simple spring analogy method for unstructured dynamic meshes. Computer Methods in Applied Mechanics and Engineering 2005; 194:4244-4264.
60. Lewis RW, Zheng Y, Gethin DT. Three-dimensional unstructured mesh generation: Part 3. Volume meshes. Computer Methods in Applied Mechanics and Engineering 1996; 134:285-310.
61. Ma QW. Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems. Journal of Computational Physics 2005; 205:611-625.
62. Grue CW. Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall: Englewood Cliffs, NJ, 1971; 102-115.
63. Weggel DC, Roesset JM, Davies RL, Steen A, Frimm F. Neptune project: spar history and design considerations. OTC 8382, Offshore Technology Conference, Houston, TX, U.S.A., vol. 2, 1997; 237-251.
64. Shashikala AP, Sundaravadivelu R, Ganapathy C. Dynamics of a moored barge under regular and random waves. Ocean Engineering 1997; 24:401-430.
65. Grilli ST, Horrillo J. Shoaling of periodic waves over barred-beaches in a fully nonlinear numerical wave tank. International Journal of Offshore and Polar Engineering 1999; 9:257-263.