Time evolution of three-dimensional nonlinear gravity-capillary free-surface flows

Journal of Engineering Mathematics

Volumn 68, Issue 3, 2010, Pages 291-300

  Parau E I ^a   Vanden Broeck, J M ^b   Cooker, M J ^a  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Boundary integral method; Free surface flows; Gravity capillary waves; Steady and unsteady forced waves; Time dependent water waves

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; WATER WAVES;

BOUNDARY INTEGRAL EQUATION METHOD; BOUNDARY INTEGRAL METHODS; FREE-SURFACE FLOW; FULLY NONLINEAR EQUATIONS; GRAVITY CAPILLARY WAVES; STEADY SOLUTION; TIME DEPENDENT; TIME EVOLUTIONS;

NONLINEAR EQUATIONS;

EID: 78149499455     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-010-9391-y     Document Type: Article

References (21)

1. Pǎrǎu EI, Vanden-Broeck J-M (2002) Nonlinear two- and three-dimensional free surface flows due to moving disturbances. Eur J Mech B/Fluids 21: 643-656.
2. Lord Rayleigh (1883) The form of standing waves on the surface of running water. Proc Lond Math Soc 15: 69-78.
3. Forbes LK (1989) An algorithm for 3-dimensional free-surface problems in hydrodynamics. J Comput Phys 82: 330-347.
4. Pǎrǎu EI, Vanden-Broeck J-M, Cooker MJ (2005) Nonlinear three-dimensional gravity-capillary solitary waves. J Fluid Mech 536: 99-105.
5. Pǎrǎu EI, Vanden-Broeck J-M, Cooker MJ (2005) Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems. Phys Fluids 17: 122101.
6. Pǎrǎu EI, Vanden-Broeck J-M, Cooker MJ (2007) Three-dimensional capillary-gravity waves generated by a moving disturbance. Phys Fluids 19: 082102.
7. Pǎrǎu EI, Vanden-Broeck J-M, Cooker MJ (2007) Three-dimensional gravity and gravity-capillary interfacial flows. Math Comput Simul 74: 105-112.
8. Pǎrǎu EI, Vanden-Broeck J-M, Cooker MJ (2007) Nonlinear three-dimensional interfacial flows with a fee surface. J Fluid Mech 591: 481-494.
9. Forbes LK (1983) Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension. J Fluid Mech 127: 283-297.
10. Grandison S, Vanden-Broeck J-M (2006) Truncation approximations or gravity-capillary free-surface flows. J Eng Math 54: 89-97.
11. Dias F, Bridges T (2006) The numerical computation of freely propagating time-dependent irrotational water waves. Fluid Dyn Res 38: 803-830.
12. Landweber L, Macagno M (1969) Irrotational flow about ship forms. Iowa Institute of Hydraulic Research Report-IIHR, vol 123, pp 1-33.
13. Beck RF (1999) Fully nonlinear water wave computations using a desingularized Euler-Lagrange time domain approach. In: Mahrenholtz O, Markiewicz M (eds) Nonlinear water wave interaction advances in fluid mechanics series. WIT Press, UK, pp 1-58.
14. Sung HG, Grilli ST (2006) Combined Eulerian-Lagrangian or pseudo-Lagrangian descriptions of waves caused by an advancing free surface disturbance. In: Proceedings of the 16th international offshore and polar engineering conference, pp 487-494.
15. Longuet-Higgins MS, Cokelet ED (1976) The deformation of steep surface waves on water. I. A numerical method of computation. Proc R Soc Lond A 350: 1-26.
16. Cao Y, Beck RF, Schultz WW (1993) An absorbing beach for numerical simulations of nonlinear waves in a wave tank. In: 8th international workshop on water waves and floating bodies, St. John's, Canada, pp 17-20.
17. Vanden-Broeck J-M, Dias F (1992) Gravity-capillary solitary waves in water of infinite depth and related free-surface flows. J Fluid Mech 240: 549-557.
18. Dias F, Kharif C (1999) Nonlinear gravity and capillary-gravity waves. Annu Rev Fluid Mech 31: 301-346.
19. Lamb H (1932) Hydrodynamics, 5th edn. Cambridge University Press, Cambridge.
20. Yih CS, Zhu S (1989) Patterns of ship waves II: gravity-capillary waves. Q Appl Math 47: 35-44.
21. Chen XB (2005) Analytical features of unsteady ship waves. In: Chwang AT, Teng MH, Valentine DT (eds) Advances in engineering mechanics-reflections and outlook. Proceedings of the Theodore Y. T. Wu symposium, Vancouver, Canada, June 2004. World Scientific Pub. Co., River Edge, pp 371-389.