Nonlinear three-dimensional interfacial flows with a free surface

Journal of Fluid Mechanics

Volumn 591, Issue , 2007, Pages 481-494

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

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY INTEGRAL EQUATIONS; SOLITONS;

BOUNDARY INTEGRAL EQUATION METHOD; FREE SURFACES; FULLY NONLINEAR EQUATIONS; INTERFACIAL FLOWS; TWO SUPERPOSED FLUIDS; WEAKLY NON-LINEAR;

NONLINEAR EQUATIONS;

BOUNDARY INTEGRAL METHOD; FLUID MECHANICS; FREE SURFACE FLOW; INTERFACE; NUMERICAL MODEL;

EID: 49049089348     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008452     Document Type: Article

References (25)

1. AVITAL, E. & MILOH, T. 1998 On an inverse problem of ship-induced internal waves. Ocean Engng 26, 99-110.
2. BENJAMIN, T. B. 1992 A new kind of solitary wave. J. Fluid Mech. 245, 401-411.
3. CALVO, D. C. & AKYLAS, T. R. 2003 On interfacial gravity - capillary solitary waves of the Benjamin type and their stability. Phys. Fluids 15, 1261-1270.
4. CRAPPER, G. D. 1967 Ship waves in a stratified ocean. J. Fluid Mech. 29, 667-672.
5. DIAS, E & IOOSS, G. 1996 Capillary - gravity interfacial waves in infinite depth. Eur. J. Mech. B/Fluids 15, 367-393.
6. EKMAN, V. W. 1904 On dead water. Norwegian North Polar Expedition, 1893-1896, Scientific Results vol. 5, pp. 1-150.
7. FORBES, L. K. 1989 An algorithm for 3-dimensional free-surface problems in hydrodynamics. J. Comput. Phys. 82, 330-347.
8. HUDIMAC, A. A. 1961 Ship waves in a stratified ocean. J. Fluid Mech. 10, 229-243.
9. HUGHES, B. A. 1986 Surface wave wakes and internal waves wakes produced by surface ships. Proc. 16th Symp. Naval Hydrodyn. Berkeley, CA, pp. 1-17.
10. KELLER, J. B. & MUNK, W. H. 1970 Internal wave wakes of a body moving in a stratified fluid. Phys. Fluids 13, 1425-1431.
11. KIM, B. & AKYLAS, T. R. 2005 On gravity-capillary lumps. J. Fluid Mech. 540, 337-351.
12. KIM, B. & AKYLAS, T. R. 2006 On gravity-capillary lumps. Part 2. Two-dimensional Benjamin equation. J. Fluid Mech. 557, 237-256.
13. LAGET, O. & DIAS, F. 1997 Numerical computation of capillary-gravity interfacial solitary waves. J. Fluid Mech. 349, 221-251.
14. LAMB, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
15. LANDWEBER, L. & MACAGNO, M. 1969 Irrotational flow about ship forms. Iowa Institute of Hydraulic Research Rep. IIHR 123, 1-33.
16. PǍRǍU, E. I. & 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.
17. PǍRǍU, E. I., VANDEN-BROECK, J.-M. & COOKER, M. J. 2005a Nonlinear three-dimensional gravity-capillary solitary waves. J. Fluid Mech. 536, 99-105.
18. PǍRǍU, E. I., VANDEN-BROECK, J.-M. & COOKER, M. J. 2005b Three-dimensional gravity - capillary solitary waves in water of finite depth and related problems. Phys. Fluids 17 (12), 122101.
19. PǍRǍU, E. I., VANDEN-BROECK, J.-M. & COOKER, M. J. 2007 Three-dimensional gravity and gravit-capillary interfacial flows. Math. Comput. Simulation 74, 105-112.
20. THOMPSON, W. 1887 On ship waves. Proc. I Mech. E Reprint 1891. In Popular Lectures and Addresses vol. 3, pp. 450-500.
21. TULIN, M. P. & MILON, T. 1991 Ship internal waves in a shallow thermocline: The supersonic case. Proc. 18th Symp. Naval Hydrodyn. pp. 567 581, National Academy Press.
22. TULIN, M. P., WANG, P. & YAO, Y. 1994 Numerical prediction of ship generated internal waves in a stratified ocean at supercritical Froude numbers. Proc. 6th Intl Conf. Numerical Ship Hydrodyn. pp. 289 309, National Academy Press.
23. WEY, G., Lu D. & DAI, S. 2005 Waves induced by a submerged moving dipole in a two-layer fluid of finite depth. Acta Mec. Sin. 21 24-31.
24. YEUNG, R. W. & NGUYEN, T. C. 1999 Waves generated by a moving source in a two-layer ocean of finite depth. J. Engng Maths 35 85-107.
25. YIH, C. S & ZHU, S. 1989 Patterns of ship waves. Q. Appl. Maths 47, 17-33.