Extreme elevations and slopes of interacting solitons in shallow water

Wave Motion

Volumn 41, Issue 2, 2005, Pages 179-192

  Soomere, Tarmo ^a   Engelbrecht, Jüri ^a  

^a TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

Author keywords

Extreme waves; Interaction soliton; Multi soliton interaction; Shallow water waves

Indexed keywords

SEA LEVEL; SURFACE WATERS; WAVE EFFECTS;

INTERACTING SOLITONS; SHALLOW WATER; SURFACE ISOLINES; WAVE HUMPS;

SOLITONS;

SHALLOW WATER; SURFACE WATER; WAVE PROPAGATION; WAVE-SEAFLOOR INTERACTION;

EID: 7544227818     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wavemoti.2004.06.006     Document Type: Article

References (39)

1. C. Kharif E. Pelinovsky Physical mechanisms of the rogue wave phenomenon Eur. J. Mech. B Fluids 22 2003 603-634
2. D.H. Peregrine Interaction of water waves and currents Adv. Appl. Mech. 16 1976 9-117
3. I.G. Jonsson, Wave-current interactions, in: B. le Mihauti, D.M. Haine (Eds.), The Sea, vol. 9A, Wiley-Interscience, 1990, pp. 65-120
4. H.J. Shyu O.M. Phillips The blockage of gravity and capillary waves by longer waves and currents J. Fluid Mech. 217 1990 115-141
5. A.N. Donato D.H. Peregrine J.R. Stocker The focusing of surface waves by internal waves J. Fluid Mech. 384 1999 27-58
6. B.S. White B. Fornberg On the chance of freak waves at sea J. Fluid Mech. 355 1998 113-138
7. E. Pelinovsky T. Talipova C. Kharif Nonlinear dispersive mechanism of the freak wave formation in shallow water Physica D 147 2000 83-94
8. S.F. Smith C. Swan Extreme two-dimensional water waves: An assessment of potential design solutions Ocean Eng. 29 2002 387-416
9. J.W. Miles Obliquely interacting solitary waves J. Fluid. Mech. 79 1979 157-169
10. J.W. Miles Resonantly interacting solitary waves J. Fluid Mech. 79 1979 171-179
11. M. Funakoshi Reflection of obliquely incident large-amplitude solitary wave J. Phys. Soc. Jpn. 49 1980 2371-2379
12. D.H. Peregrine Wave jumps and caustics in the propagation of finite-amplitude water waves J. Fluid Mech. 136 1983 435-452
13. X.-N. Chen S.D. Sharma N. Stuntz Zero wave resistance for ships moving in shallow channels at supercritical speeds. Part 2. Improved theory and model experiment J. Fluid Mech. 478 2003 111-124
14. W.K. Melville On the Mach reflection of solitary waves J. Fluid Mech. 98 1980 285-297
15. H. Mase T. Memita M. Yuhi T. Kitano Stem waves along vertical wall due to random wave incidence Coastal Eng. 44 2002 339-350
16. M. Haragus-Courcelle R.L. Pego Spatial wave dynamics of steady oblique wave interactions Physica D 145 2000 207-232
17. Y. Li P.D. Sclavounos Three-dimensional nonlinear solitary waves in shallow water generated by an advancing disturbance J. Fluid Mech. 470 2002 383-410
18. K.E. Parnell H. Kofoed-Hansen Wakes from large high-speed ferries in confined coastal waters: Management approaches with examples from New Zealand and Denmark Coastal Manage. 29 2001 217-237
19. T. Soomere, K. Rannat, J. Elken, K. Myrberg, Natural and anthropogenic wave forcing in the Tallinn Bay, Baltic Sea, in: C.A. Brebbia, D. Almorza, F. López-Aguayo (Eds.), Coastal Engineering, WIT Press, Southampton Boston, 2003, pp. 273-282
20. J. Hammack N. Scheffner H. Segur Two-dimensional periodic waves in shallow water J. Fluid Mech. 209 1989 567-589
21. J. Hammack D. McCallister N. Scheffner H. Segur Two-dimensional periodic waves in shallow water. Part 2. Asymmetric waves J. Fluid Mech. 285 1995 95-122
22. B.B. Kadomtsev V.I. Petviashvili The stability of solitary waves in weakly dispersive media Dokl. Akad. Nauk SSSR 192 1970 532-541
23. R. Hirota Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons Phys. Rev. Lett. 27 1971 1192-1194
24. J. Satsuma N-soliton solution of the two-dimensional Korteweg-de Vries equation J. Phys. Soc. Jpn. 40 1976 286-290
25. J.W. Miles Diffraction of solitary waves Z. Angew. Math. Phys. 28 1977 889-902
26. J.W. Miles Note on solitary wave in a slowly varying channel J. Fluid Mech. 80 1977 149-152
27. N.C. Freeman Soliton interactions in two dimensions Adv. Appl. Mech. 20 1980 1-37
28. P. Peterson T. Soomere J. Engelbrecht E. van Groesen Interaction soliton as a possible model for extreme waves in shallow water Nonlinear Process. Geophys. 10 2003 503-510
29. P. Peterson E. van Groesen A direct and inverse problem for wave crests modelled by interactions of two solitons Physica D 141 2000 2000
30. P. Peterson E. van Groesen Sensitivity of the inverse wave crest problem Wave Motion 34 2001 391-399
31. H. Segur A. Finkel An analytical model of periodic waves in shallow water Stud. Appl. Math. 73 1985 183-220
32. M. Lakshmanan S. Rajasekar Nonlinear Dynamics 2003 Springer Heidelberg, Berlin
33. H. Tsuji M. Oikawa Oblique interaction of internal solitary waves in a two-layer fluid of infinite depth Fluid Dyn. Res. 29 2001 251-267
34. K.L. Kirkman, R.C. McCurdy, Avoiding capsize: Research work, in: J. Rousmaniere (Ed.), Desirable and Undesirable Characteristics of Offshore, Technical Committee for the Cruising Club of America, Nautical Quarterly Books, W.W. Norton, 1987, pp. 57-74
35. X.-N. Chen S.D. Sharma Zero wave resistance for ships moving in shallow channels at supercritical speeds J. Fluid Mech. 335 1997 305-321
36. T. Soomere J. Elken J. Kask S. Keevallik T. Kõuts J. Metsaveer P. Peterson Fast ferries as a new key forcing factor in Tallinn Bay Proc. Estonian Acad. Sci. Eng. 9 2003 220-242
37. M. Hamer Solitary killers New Scientist 163 2201 1999 18-19
38. Kirk McClure Morton, Investigation of high speed craft on routes near to land or enclosed estuaries, Report JR226, The Maritime and Coastguard Agency, Southampton, UK, 1998
39. T.B. Johannessen C. Swan A laboratory study of the focusing of transient and directionally spread surface water waves Proc. Roy. Soc. A457 2001 971-1006