A model for the propagation of nonlinear surface waves over viscous muds

Coastal Engineering

Volumn 54, Issue 10, 2007, Pages 752-764

  Kaihatu, James M ^a   Sheremet, Alexandru ^b   Holland, K Todd ^c  

^a Texas AandM University   (United States)

^b University of Florida   (United States)

^c NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; SHORE PROTECTION; SURFACE WAVES; WATER WAVES;

MUD-INDUCED WAVE DAMPING RATE; NEARSHORE NONLINEAR WAVE-WAVE INTERACTIONS;

OCEANOGRAPHY;

BOUNDARY LAYER FLOW; COMPUTER SIMULATION; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; OCEANOGRAPHY; SHORE PROTECTION; SURFACE WAVES; WATER WAVES;

BOTTOM FRICTION; DIFFRACTION; NEARSHORE DYNAMICS; NONLINEAR WAVE; SURFACE WAVE; VISCOUS FLOW; WAVE PROPAGATION; WAVE-WAVE INTERACTION;

EID: 34548625782     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2007.05.003     Document Type: Article

References (50)

1. Agnon Y., and Sheremet A. Stochastic nonlinear shoaling of directional spectra. Journal of Fluid Mechanics 345 (1997) 79-99
2. Agnon Y., and Sheremet A. Stochastic evolution models for nonlinear gravity waves over uneven topography. In: Liu P.L.-F. (Ed). Advances in Coastal and Ocean Engineering vol. 6 (2000), World Scientific
3. Agnon Y., Sheremet A., Gonsalves J., and Stiassnie M. Nonlinear evolution of a unidirectional shoaling wave field. Coastal Engineering 20 (1993) 29-58
4. Ardhuin F., Drake T.G., and Herbers T.H.C. Observations of wave-generated vortex ripples on the North Carolina continental shelf. Journal of Geophysical Research 107 (2002) 10.1029/2001JC000986
5. Ardhuin F., O'Reilly W.C., Herbers Th.C., and Jessen P.F. Swell transformation across the continental shelf. Part 1: attenuation and swell broadening. Journal of Physical Oceanography 33 (2003) 1921-1939
6. Berkhoff J.C.W. Computation of combined refraction-diffraction. 13th International Conference on Coastal Engineering (1972), ASCE, Vancouver, BC 471-490
7. Berkhoff J.C.W., Booij N., and Radder A.C. Verification of numerical wave propagation models for simple harmonic linear waves. Coastal Engineering 6 (1982) 255-279
8. Booij N., Ris R.C., and Holthuijsen L.H. A third generation wave model for coastal regions. 1. Model description and validation. Journal of Geophysical Research 104 (1999) 7649-7666
9. Chou H.T., Foda M.A., and Hunt J.R. Rheological response of cohesive sediments to oscillatory forcing. In: Mehta A.J. (Ed). Nearshore and Estuarine Cohesive Sediment Transport. Coastal and Estuarine Sciences vol. 42 (1993), AGU 126-148
10. Dalrymple R.A., and Liu P.L.F. Waves over soft muds: a two-layer fluid model. Journal of Physical Oceanography 8 (1978) 1121-1131
11. De Wit, P.J., 1995. Liquifaction of cohesive sediment by waves. Ph.D. dissertation, Delft University of Technology.
12. Dean R.G., and Dalrymple R.A. Water Wave Mechanics for Engineers and Scientists, Advanced Series on Ocean Engineering (1991), World Scientific, Singapore
13. Elgar S., and Guza R.T. Observations of bispectra of shoaling surface gravity waves. Journal of Fluid Mechanics 161 (1985) 425-448
14. Foda M.A. Sideband damping of water waves over a soft bed. Journal of Fluid Mechanics 201 (1989) 189-201
15. Foda M.A., Hunt J.R., and Chou H.T. A nonlinear model for the fluidization of marine mud by waves. Journal of Geophysical Research 98 (1993) 7039-7047
16. Forristall G.Z., and Reece A.M. Mearsurements of wave attenuation due to a soft bottom: SWAMP experiment. Journal of Geophysical Research 90 (1985) 3367-3380
17. Freilich M.H., and Guza R.T. Nonlinear effects on shoaling surface gravity waves. Philosophical Transactions of the Royal Society of London A 311 (1984) 1-41
18. Gade H.G. Effects of a nonrigid, impermeable bottom on place waves in shallow water. Journal of Marine Research 16 (1958) 61-82
19. Hammack J., Scheffner N., and Segur H. Two-dimensional periodic waves in shallow water. Journal of Fluid Mechanics 209 (1989) 567-589
20. Herbers T.H.C., and Burton M.C. Nonlinear shoaling of directionally spread waves on a beach. Journal of Geophysical Research 102 (1997) 21101-21114
21. Hill D.F., and Foda M.A. Subharmonic resonance of oblique interfacial waves by a progressive surface wave. Proceedings, Royal Society of London A 454 (1998) 1129-1144
22. Hsiao S.V., and Shemdin O.H. Interaction of ocean waves with a soft bottom. Journal of Physical Oceanography 10 (1980) 605-610
23. Jamali M., Lawrence G.A., and Seymour B. A note on the resonant interaction between a surface wave and two interfacial waves. Journal of Fluid Mechanics 491 (2003) 1-9
24. Jaramillo S., Sheremet A., Allison M.A., and Dartez S. Coupled evolution of waves and fluid mud layers. Poster presented at American Geophysical Union Ocean Sciences Meeting, Honolulu, HI (2006)
25. Jiang F., and Mehta A.J. Mudbanks of the southwest coast of India IV: mud viscoelastic properties. Journal of Coastal Research 11 (1995) 918-926
26. Jiang F., and Mehta A.J. Mudbanks of the southwest coast of India V: wave attenuation. Journal of Coastal Research 12 (1996) 890-897
27. Jiang L., and Zhao Z. Viscous damping of solitary waves over fluid-mud seabeds. Journal of Waterway, Port, Coastal and Ocean Engineering (ASCE) 115 (1989) 345-362
28. Jiang L., Kioka W., and Ishida A. Viscous damping of cnoidal waves over fluid-mud seabed. Journal of Waterway, Port, Coastal and Ocean Engineering (ASCE) 116 (1990) 470-491
29. Kaihatu J.M. Improvement of parabolic nonlinear dispersive wave model. Journal of Waterway, Port, Coastal and Ocean Engineering (ASCE) 127 (2001) 113-121
30. Kaihatu J.M., and Kirby J.T. Nonlinear transformation of waves in finite water depth. Physics of Fluids 7 (1995) 1903-1914
31. Kirby J.T., and Dalrymple R.A. Modeling waves in surf zones and around islands. Journal of Waterway, Port, Coastal and Ocean Engineering (ASCE) 112 (1986) 78-93
32. Kirby J.T., and Kaihatu J.M. Structure of frequency domain models for random wave breaking. In: Edge B.L. (Ed). 25th International Conference on Coastal Engineering (1996), ASCE, Orlando, FL 1144-1155
33. Lee, S.C. 1995. Response of mud profiles to waves. Ph.D. dissertation, Department of Civil and Coastal Engineering, University of Florida, Gainesville, FL.
34. Liu P.L.F., Yoon S.B., and Kirby J.T. Nonlinear refraction-diffraction of waves in shallow water. Journal of Fluid Mechanics 153 (1985) 184-201
35. Macpherson H. The attenuation of water waves over a non-rigid bed. Journal of Fluid Mechanics 97 (1980) 721-742
36. Mathew, J. (1992). Wave-mud interaction in mud banks. Ph.D. dissertation, Cochin University of Schience and Technology, Cochin, India.
37. Mehta A.J., and Srinivas R. Observations of entrainment of fluid mud by shear flow. In: Mehta A.J. (Ed). Nearshore and Estuarine Cohesive Sediment Transport (1993), American Geophysical Union, Washington DC 224-246
38. Mei C.C., and Liu K.F. A Bingham-plastic model for a muddy seabed under long waves. Journal of Geophysical Research 92 (1987) 14581-14594
39. Ng C.O. Water waves over a muddy bed: a two-layer Stokes' boundary layer model. Coastal Engineering 40 (2000) 221-242
40. Penney W.G., and Price A.T. The diffraction of sea waves and the shelter afforded by breakwaters. Philosophical Transactions of the Royal Society of London. Series A 244 (1952) 236-253
41. Peregrine D.H. Long waves on a beach. Journal of Fluid Mechanics 27 (1967) 815-827
42. Radder A.C. On the parabolic equation method for water wave propagation. Journal of Fluid Mechanics, 95 (1979) 159-176
43. Sheremet A., and Stone G.W. Observations of nearshore wave dissipation over muddy sea beds. Journal of Geophysical Research 108 (2003) 3357-3368
44. Sheremet A., Mehta A.J., and Kaihatu J.M. Wave-sediment interaction on a muddy shelf. Proceedings, Fifth International Symposium on Ocean Wave Measurement and Analysis, Madrid, Spain, to appear (2005)
45. Tubman M.W., and Suhayda J.N. Wave action and bottom movements in fine sediments. Proceedings, 15th International Conference on Coastal Engineering, Honolulu, HI (1976) 1168-1183
46. Wells J.T., and Coleman J.M. Physical processes and fine-grained seiment dynamics, coast of Surinam, South America. Journal of Sedimentary Petrology 15 (1981) 1053-1068
47. Whitham G.B. Linear and nonlinear waves (1974), Wiley-Interscience, New York
48. Winterwerp J.C., de Graff R.F., Groeneweg J., and Luijendijk A.P. Modeling of wave damping at Guyana mud coast. Coastal Engineering 54 (2007) 249-261
49. Yamamoto T., and Takahashi S. Wave damping by soil motion. Journal of Waterway, Port, Coastal and Ocean Engineering (ASCE) 111 (1985) 62-77
50. Yamamoto T., Koning H.L., Sellmeiher H., and van Hijum E.V. On the response of a poro-elastic bed to water waves. Journal of Fluid Mechanics 87 (1978) 193-206