A new model for nonlinear wind waves. Part 1. Physical model and experimental evidence

Journal of Fluid Mechanics

Volumn 88, Issue 1, 1978, Pages 33-62

  Lake, Bruce M ^a   Yuen, Henry C ^a  

^a NORTHROP GRUMMAN CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OCEANOGRAPHY;

WATER WAVES;

EID: 0018007167     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112078001974     Document Type: Article

References (44)

1. Alber, I. E. & Saffman, P. G. 1977 Stability of a random train of deep water waves. TRW Rep. no. 26062-6018-RU-00, June.
2. Benjamin, T. B. & Feir, J. E. 1967 The disintegration of wave trains in deep water. Part 1. Theory. J. Fluid Mech. 27, 417–430.
3. Chang, J. H. & Wagner, R. N. 1976 Thermal interaction experiment, 1975. TRW Thermal Interaction Studies Prog. Status Rep., January, pp. 27–63.
4. Crawford, D. R., Saffman, P. G. & Yuen, H. C. 1977 Nonlinear deep-water waves. Part 4. Effect of randomness on a nonlinear wavetrain. TRW. Rep. no. 31326-6019-RU-00, June.
5. Deardorff, J. W. 1967 Aerodynamic theory of wave growth with constant wave steepness. J. Oceanograph. Soc. Japan 23 (6), 278–297.
6. Groen, P. & Dorrestein, R. 1958 Zeegolven. Kon Ned. Met. Inst. Rep. no. 11.
7. Hasselmann, K 1962 On the nonlinear energy transfer in a gravity-wave spectrum. Part 1. General theory. J. Fluid Mech. 12, 481–500.
8. Hasselmann, K. 1963a On the nonlinear energy transfer in a gravity-wave spectrum. Part 2. Conservation theorems, wave-particle analogy, irreversibility. J. Fluid Mech. 15, 273–281.
9. Hasselmann, K. 1963b On the nonlinear energy transfer in a gravity-wave spectrum. Part 3. Computation of the energy flux and swell-sea interaction for a Neumann spectrum. J. Fluid Mech. 15, 385–398.
10. Hasselmann, K., Barnett, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., Ewing, J. A., Giennapp, H., Hasselmann, D. E., Kruseman, P., Meerburg, A., MÜller, P., Olbers, D. J., Richter, K., Sell, W. & Walden, H. 1973 Measurements of wind-wave growth and swell decay during the joint North Sea Wave Project (JONSWAP). Deut. Hydrogr. Z. Suppl. A. 8 (12).
11. Lake, B. M. & Rungaldier, H. 1977 Wave interaction experiments. TRW Rep. no. 26062-6017-RU-00, 2, January.
12. Lake, B. M. & Rungaldier, H. 1978 Two-point slope gauge measurements of unsteady deep-water wavebreaking. TRW Rep. no. 31326-6017-RU-00, January.
13. Lake, B. M. & Yuen, H. C. 1976 A new model for nonlinear wind-waves. Part I. Physical model and experimental evidence. TRW Rep. no. 26062-6014-RU-00, May.
14. Lake, B. M., Yuen, H. C., Rungaldier, H. & Ferguson, W. E. 1977 Nonlinear deep-water waves: Theory and experiment. Part 2. Evolution of a nonlinear continuous wave train. J. Fluid Mech. 83, 49–74.
15. Lee, P. H. Y. 1977 Doppler measurements of the effects of gravity waves on wind-generated ripples. J. Fluid Mech. 81, 225.
16. Lewis, J. E., Lake, B. M. & Ko, D. R. S. 1974 On the interaction of internal waves and surface gravity waves. J. Fluid Mech. 63, 773–800.
17. Longuet-Higgins, M. S. 1976 On the nonlinear transfer of energy in the peak of a gravity wave spectrum: A simplified model. Proc. Roy. Soc. A 347, 311–328.
18. Miles, J. W. 1957 On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185–204.
19. Miles, J. W. 1959a On the generation of surface waves by shear flows. Part 2. J. Fluid Mech. 6, 568–582.
20. Miles, J. W. 1959b On the generation of surface waves by shear flows. Part 3. J. Fluid Mech. 6, 583–589.
21. Miles, J. W. 1960 On the generation of surface waves by turbulent shear flows. J. Fluid Mech. 7, 469–478.
22. Miles, J. W. 1964 A note on the interaction between surface waves and wind profiles. J. Fluid Mech. 22, 823–827.
23. Phillips, O. M. 1957 On the generation of waves by turbulent wind. J. Fluid Mech. 2, 417–445.
24. Phillips, O. M. 1958a The equilibrium range in the spectrum of wind-generated waves. J. Fluid Mech. 4, 426.
25. Phillips, O. M. 1958b On some properties of the spectrum of wind-generated ocean waves. J. Mar. Res. 16, 23–245.
26. Phillips, O. M. 1960 On the dynamics of unsteady gravity waves of finite amplitude. Part 1. J. Fluid Mech. 9, 193–217.
27. Phillips, O. M. 1961 On the dynamics of unsteady gravity-waves of finite amplitude. Part 2. J. Fluid Mech. 11, 143–155.
28. Pierson, W. J., Neumann, G. & James, R. W. 1955 Practical Methods for Observing and Forecasting Ocean Waves by Means of Wave Spectra and Statistics. U.S. Navy Hydrographic Office, H. O. Publ. no. 603.
29. Ramamonjiarisoa, A. & Coantic, M. 1976 Loi experimentale de dispersion des vagues produites par le vent sur une faible longueur d'action. C.r. hebd Séanc Acad. Sci. Paris B 282 111–113.
30. Saffman, P. G. & Yuen, H. C. 1978 Stability of a plane soliton to infinitesimal two-space dimensional perturbations. Phys. Fluids 21 (to appear).
31. Stewart, R. W. 1961 The wave drag of wind over water. J. Fluid Mech. 10, 189–194.
32. Sturm, G. V. & Sorrell, F. Y. 1973 Optical wave measurement technique and experimental comparison with conventional wave height probes. Appl. Optics 12 (8), 1928–1933.
33. Sutherland, A. J. 1968 Growth of spectral components in a wind-generated wave train. J. Fluid Mech. 33, 545–560.
34. Tick, L. J. 1959 A nonlinear random model for gravity waves 1. J. Math. Mech. 8, 643–652.
35. West, B. J., Thomson, J. A. & Watson, K. M. 1974 Statistical mechanics of ocean waves. J. Hydronautics 9 (1), 25–31.
36. Willebrand, J. 1975 Energy transport in a nonlinear and inhomogeneous random gravity wave field. J. Fluid Mech. 70, 113–126.
37. Yuen, H. C. 1977 Nonlinear deep water waves. Part 5. Unsteady wavebreaking. TRW Rep. no. 31326-6013-RU-00, October.
38. Yuen, H. C. & Ferguson, W. E. 1979 Fermi–Pasta–Ulam recurrence in two-space dimensional nonlinear Schrödinger equation. Phys. Fluids 22 (to appear).
39. Yuen, H. C. & Lake, B. M. 1975 Nonlinear deep water waves. Theory and experiment. Phys. Fluids 18, 956–960.
40. Yuen, H. C. & Lake, B. M. 1976 A new model for nonlinear wind-waves. Part II. An adiabatic theory for a developing wind-wave system. TRW Rep. no. 26062-6015-RU-00, May.
41. Yuen, H. C. & Lake, B. M. 1979 A new model for nonlinear wind-waves. Part 2. An adiabatic theory for a developing wind-wave system. To be published.
42. Zakharov, V. E. 1967 The instability of waves in nonlinear dispersive media. Sov. Phys., J. Exp. Theor. Phys. 24, 740–744.
43. Zakharov, V. E. 1968 Stability of periodic waves of finite amplitude on the surface of a deep fluid. Sov. Phys., J. Appl. Mech. Tech. Phys. 4, 86–90.
44. Zakharov, V. E. & Rubenchik, A. M. 1974 Instability of waveguides and solitons in nonlinear media. Sov. Phys. J. Exp. Theor. Phys. 38 (3), 494–500.