QALE-FEM for modelling 3D overturning waves

International Journal for Numerical Methods in Fluids

Volumn 63, Issue 6, 2010, Pages 743-768

  Yan, S ^a   Ma, Q W ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

3D overturning waves; Complex seabed; Fully nonlinear potential flow; Fully nonlinear waves; Potential theory for waves; QALE FEM; Spring analogy method

Indexed keywords

3D OVERTURNING WAVES; ANALOGY METHOD; COMPLEX SEABED; FULLY NONLINEAR POTENTIAL FLOW; NONLINEAR WAVES; POTENTIAL THEORY;

COMPUTATIONAL EFFICIENCY; FINITE ELEMENT METHOD; MECHANICS; NUMERICAL METHODS; POTENTIAL FLOW; THREE DIMENSIONAL; WAVES;

NUMBER THEORY;

EID: 77953595538     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2100     Document Type: Article

References (77)

1. Wtrwy J. Effects of the 2004 Great Sumatra Tsunami: Southeast Indian. Journal of Waterway, Port, Coastal, and Ocean Engineering 2007; 133:382-400.
2. Black K. Artificial surfing reefs for erosion control and amenity: theory and application. Proceeding of International Coastal Symposium (ICS), Rotorua, New Zealand, 2000.
3. Wei J, Kirby JT, Grilli ST, Subramanya R. A fully nonlinear Boussinesq model for surface waves. I. Highly nonlinear unsteady waves. Journal of Fluid Mechanics 1995; 294:71-92.
4. Fuhrman DR, Madsen PA. Simulation of nonlinear wave run-up with a high-order Boussinesq model. Coastal Engineering 2008; 55:139-154.
5. Ducrozet G, Bonnefoy F, Le Touzé D, Ferrant P. 3-D HOS simulations of extreme waves in open seas. Natural Hazards 2007; 7:11-14.
6. Ma QW. Numerical generation of freak waves using MLPG R and QALE-FEM methods. Computer Modeling in Engineering and Sciences (CMES) 2007; 18(3):223-234.
7. Miyata H, Kanai A, Kawamura T, Park J. Numerical simulation of three-dimensional breaking waves. Journal of Marine Science and Technology 1996; 1:183-197.
8. Chen G, Kharif C, Zaleski S, Li J. Two-dimensional Navier-Stokes simulation of breaking waves. Physics of Fluids 1999; 11:121-133.
9. Guignard S, Marcer R, Rey V, Kharif C, Fraunie P. Solitary wave breaking on sloping beaches: 2-D two phase flow numerical simulation by SL-VOF method. European Journal of Mechanics, B/Fluids 2001; 20(1):57-74.
10. Lubin P, Vincent S, Caltagirone J, Abadie S. Fully three-dimensional direct numerical simulation of a plunging breaker. Comptes Rendus Mecanique 2003; 331(7):495-501.
11. Hieu PD, Katsutoshi T, Ca VT. Numerical simulation of breaking waves using a two-phase flow model. Applied Mathematical Modelling 2004; 28(11):983-1005.
12. Andrillon Y, Alessandrini B. A 2D+T VOF fully coupled formulation for the calculation of breaking free-surface flow. Journal of Marine Science and Technology 2004; 8:159-168.
13. Park JC, Kim MH, Miyata H, Chun HH. Fully nonlinear numerical wave tank (NWT) simulations and wave run-up prediction around 3-D structures. Ocean Engineering 2003; 30:1969-1996.
14. Hu C, Kashiwage M. A CIP-based method for numerical simulations of violent free-surface flows. Journal of Marine Science and Technology 2004; 9:143-157.
15. Lo EYM, Shao S. Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Applied Ocean Research 2002; 24(5):275-286.
16. Issa R, Violeau D. Modelling a plunging breaking solitary wave with eddy-viscosity turbulent SPH models. CMC 2004; 1:101-112.
17. Dalrymple RA, Rogers BD. Numerical modelling of water waves with the SPH method. Coastal Engineering 2006; 53:141-147.
18. Koshizuka S, Nobe A, Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. International Journal for Numerical Methods in Fluids 1998; 26:751-769.
19. Gotoh H, Sakai T. Key issues in the particle method for computation of wave breaking. Coastal Engineering 2006; 53:171-179.
20. Pin FD, Idelsohn S, Onate E, Aubry R. The ALE/Lagrangian particle finite element method: a new approach to computation of free-surface flows and fluid-object interactions. Computers and Fluids 2007; 36(1):27-28.
21. Ma QW, Yan S. Quasi ALE finite element method for nonlinear water waves. Journal of Computational Physics 2006; 212:52-72.
22. Grilli ST, Subramanya R. Numerical modelling of wave breaking induced by fixed or moving boundaries. Computational Mechanics 1996; 17(6):374-391.
23. Skyner DA. A comparison of numerical predictions and experimental measurements of the internal kinematics of a deep-water plunging wave. Journal of Fluid Mechanics 1996; 315:51-64.
24. Yasuda T, Mutsuda H, Mizutani N. Kinematics of overturning solitary waves and their relations to breaker types. Coastal Engineering 1997; 29(3-4):317-346.
25. 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 2006.
26. Helluy PH, Golay F, Caltagirone JP, Lubin P, Vincent S, Drevard D, Marcer R, Seguin N, Grilli ST, Lesage AC, Dervieux A. Numerical simulations of wave breaking. Mathematical Modelling and Numerical Analysis 2005; 39:591-607.
27. Devrard D, Marcer R, Grilli ST, Fraunie P, Rey V. Experimental validation of a coupled BEM-Navier-Stokes model for solitary wave shoaling and breaking. Proceeding of 5th International Symposium on Ocean Wave Measurement and Analysis, Madrid, Spain, 2005; 166-176.
28. Grilli ST, Guyenne P, Dias F. A fully non-linear model for three-dimensional overturning waves over an arbitrary bottom. International Journal for Numerical Methods in Fluids 2001; 35(7):829-867.
29. Lachaume C, Biausser B, Grilli ST, Fraunie P, Guignard S. Modelling of breaking and post-breaking waves on slopes by coupling of BEM and VOF methods. Proceedings of the International Offshore and Polar Engineering Conference, Honolulu, HI, U.S.A., 2003; 1698-1704.
30. Garzon M, Sethian JA. Wave breaking over sloping beaches using a coupled boundary integral-level set method. International Series of Numerical Mathematics 2006; 154:189-198.
31. 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.
32. Dommermuth DG, Yue DKP, Lin WM, Rapp RJ, Chan ES, Melville WK. Deep water plunging breakers: a comparison between potential theory and experiments. Journal of Fluid Mechanics 1988; 189:423-442.
33. Vinje T, Brevig P. Numerical simulation of breaking waves. Advances in Water Resources 1981; 4(2):77-82.
34. New AL, Mciver P, Peregrine DH. Computation of overturning waves. Journal of Fluid Mechanics 1985; 150:233-251.
35. Grilli ST, Skourup J, Svendsen IA. An efficient boundary element method for nonlinear water waves. Engineering Analysis with Boundary Elements 1989; 6:97-107.
36. Seo SN, Dalrymple RA. An efficient model for periodic overturning waves. Engineering Analysis with Boundary Elements 1990; 7:196-204.
37. Cooker MJ, Peregrine DH. Violent water motion at breaking-wave impact. Proceedings of the Coastal Engineering Conference, Delft, The Netherlands, vol. 1, 1990; 164-176.
38. Otta AK, Svendsen LA, Grilli ST. The breaking and run-up of solitary waves on beaches. Proceedings of the Coastal Engineering Conference, Venice, Italy, vol. 2, 1992; 1461-1474.
39. Cao Y, Beck RF, Schultz WW. Numerical computations of two-dimensional solitary waves generated by moving disturbances. International Journal for Numerical Methods in Fluids 1993; 17(10):905-920.
40. Wang P, Yao Y, Tulin MP. Wave group evolution, wave deformation, and breaking: simulations using LONGTANK, a numerical wave tank. International Journal of Offshore and Polar Engineering 1994; 4(3):200-205.
41. Grilli ST, Svendsen IA, Subramanya R. Breaking criterion and characteristics for solitary waves on slopes. Journal of Waterway, Port, Coastal and Ocean Engineering 1997; 123:102-112.
42. Maiti S, Sen D. Computation of solitary waves during propagation and runup on a slope. Ocean Engineering 1999; 26(11):1063-1083.
43. Grilli ST, Gilbert R, Lubin P, Vicent S, Legendre D, Duyam M, Kimmoun O, Branger H, Devrard D, Fraunie P, Abadie S. Numerical modeling and experiments for solitary wave shoaling and breaking over a sloping beach. Proceedings of the Fourteenth (2004) International Offshore and Polar Engineering Conference (ISOPE2004), Toulon, France, 2004; 306-312.
44. Drimer N, Agnon Y. An improved low-order boundary element method for breaking surface waves. Wave Motion 2006; 43(3):241-258.
45. Christou M, Swan C, Gudmestad OT. The description of breaking waves and the underlying water particle kinematics. The International Conference on Offshore Mechanics and Arctic Engineering (OMAE2007), San Diego, U.S.A., 2007; 291-299.
46. Ortiz JC, Douglass SL. Boundary element solution of water particle velocities of waves breaking on mild slopes. Boundary Element XV: Fluid Flow and Computational Aspects, Worcester Polytechnic Institute, Worcester, MA. Computational Mechanics, 1993; 221-232. ISBN: 1562521977 9781562521974.
47. Zhao R, Faltinsen OM. Water entry of a two-dimensional body. Proceedings of 6th International Workshop on Water Waves and Floating Bodies, Woods Hole, MA, U.S.A., 1991; 275-279.
48. Xü H, Yue DKP. Numerical study of three dimensional overturning waves. Proceedings of 7th International Workshop on Water Waves and Floating Bodies, Cointe, France, 1992; 303-307.
49. Xü H, Yue DKP. Numerical study of kinematics of nonlinear water waves in three dimensions. Civil Engineering in the Oceans V, 1992; 81-98.
50. Xue M, Xü H, Liu Y, Yue DKP. Computations of fully nonlinear three-dimensional wave-wave and wave-body interactions. Part 1. Dynamics of steep three-dimensional waves. Journal of Fluid Mechanics 2001; 438:11-39.
51. Guyenne P, Grilli ST. Numerical study of three-dimensional overturning waves in shallow water. Journal of Fluid Mechanics 2006; 547:361-388.
52. Grilli ST, Vogelmann S, Watts P. Development of a 3D Numerical Wave Tank for modelling tsunami generation by underwater landslides. Engineering Analysis with Boundary Elements 2002; 26(4):301-313.
53. Brandini C, Grilli ST. Modeling of freak wave generation in a 3D-NWT. Proceedings of the International Offshore and Polar Engineering Conference (ISOPE2001), vol. 3, Stavanger, Norway 2001; 124-131.
54. 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.
55. Fochesato C, Grilli ST, Dias F. Numerical modelling of extreme rogue waves generated by directional energy focusing. Wave Motion 2007; 44(5):395-416.
56. Wu GX, Eatock Taylor R. Finite element analysis of two dimensional non-linear transient water waves. Applied Ocean Research 1994; 16:363-372.
57. 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.
58. 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.
59. Turnbull MS, Borthwick AGL, Eatock Taylor R. Wave-structure interaction using coupled structured-unstructured finite element meshes. Applied Ocean Research 2003; 25:63-77.
60. Heinze C. Nonlinear hydrodynamic effects on fixed and oscillating structures in waves. Ph.D. Thesis, Department of Engineering Science, Oxford University, 2003.
61. 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.
62. Wang CZ, Wu GX, Drake KR. Interactions between nonlinear water waves and non-wall-sided 3D structures. Ocean Engineering 2007; 34:1182-1196.
63. Westhuis JH, Andonowati AJ. Applying the finite element method in numerically solving the two dimensional free-surface water wave equations. Proceedings of the 13th International Workshop on Water Waves and Floating Bodies, Hermans, The Netherlands, 1998; 171-174.
64. Clauss GF, Steinhagen U. Numerical simulation of nonlinear transient waves and its validation by laboratory data. Proceedings of the International Offshore and Polar Engineering Conference (ISOPE1999), vol. 3, Brest, France, 1999; 368-375.
65. 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.
66. Sriram V, Sannasiraj SA, Sundar V. Simulation of 2-D nonlinear waves using finite element method with cubic spline approximation. Journal of Fluids and Structures 2006; 22:663-681.
67. Yan S, Ma QW. Application of QALE-FEM to the interaction between nonlinear water waves and periodic bars on the bottom. Proceedings of the 20th International Workshop on Water Waves and Floating Bodies,Norway, 2005.
68. Ma QW, Yan S. QALE-FEM for numerical modelling of nonlinear interaction between 3D moored floating bodies and steep waves. International Journal for Numerical Methods in Engineering 2009; 78:713-756.
69. Yan S, Ma QW. Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method. Journal of Computational Physics 2007; 221:666-692.
70. Yan S, Ma QW. Effects of an arbitrary sea bed on responses of moored floating structures to steep waves. Proceedings of the Seventeenth International Offshore and Polar Engineering Conference (ISOPE2007), Lisbon, Portugal, 2007; 2192-2199.
71. Frey PJ, Borouchaki H, George P. 3D Delaunay mesh generation coupled with an advancing-front approach. Computer Methods in Applied Mechanics and Engineering 1998; 158:115-131.
72. 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.
73. 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.
74. Zeng D, Ethier CR. A semi-torsional spring analogy model for updating unstructured meshes in 3D moving domains. Finite Elements in Analysis and Design 2005; 41:1118-1139.
75. 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.
76. Tanaka M. The stability of solitary waves. Physics of Fluids 1986; 29:650-655.
77. Kimmoun O, Branger H, Zucchini B. Laboratory PIV measurements of wave breaking on a beach. The Fourteenth (2004) International Offshore and Polar Engineering Conference (ISOPE), Toulon, France, 2004; 293-298.