Experiments on nonlinear gravity-capillary waves

Journal of Fluid Mechanics

Volumn 380, Issue , 1999, Pages 205-232

  Shemer, Lev ^a   Chamesse, Melad ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; GRAVITY WAVES; NONLINEAR EQUATIONS; SURFACE WAVES; THREE DIMENSIONAL;

NONLINEAR GRAVITY CAPILLARY WAVES; NONLINEAR SCHRODINGER EQUATION;

WATER WAVES;

EID: 0032667639     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098003620     Document Type: Article

References (41)

1. BENJAMIN, T. B. 1967 Instability of periodic wavetrains in nonlinear dispersive systems. Proc. R. Soc. Lond. A 299, 59-75.
2. BENJAMIN, T. B. & FEIR, J. E. 1967 The disintegration of wavetrains on deep water. J. Fluid Mech. 27, 417-430.
3. CHAMESSE, M. 1997 An experimental study of the gravity-capillary wave field in a tank. PhD Thesis, Tel-Aviv University.
4. CHAPMAN, R. & MONALDO, F. M. 1995 A novel wave height sensor. J. Atmos. Ocean. Tech. 12, 190-195.
5. CHOW, C. C., HENDERSON, D. & SEGUR, H. 1996 A generalized stability criterion for resonant triad interactions. J. Fluid Mech. 319, 67-76.
6. CRAPPER, G. D. 1984 Introduction to Water Waves. Ellis Horwood.
7. CRAWFORD, D. R., LAKE, B. M., SAFFMAN, P. G. & YUEN, H. C. 1981 Stability of weakly nonlinear deep-water waves in two and three dimensions. J. Fluid Mech. 105, 177-191.
8. DJORDJEVIC, V. D. & REDEKOPP, L. G. 1977 On two-dimensional packets of capillary-gravity waves. J. Fluid Mech. 79, 703-714.
9. DYSTHE, K. B. 1979 Note on a modification to the nonlinear Schrodinger equation for application to deep water waves. Proc. R. Soc. Lond. A 369, 105-114.
10. GLOZMAN, M. 1994 Energy transfer in water-waves. DSc Thesis, Technion, Haifa, Israel.
11. GRUMAN, I. 1987 Interactions of gravity-capillary wave trains. MSc Thesis, Technion, Haifa (in Hebrew).
12. HASSELMANN, K., RANEY, R. K., PLANT, W. J., ALPERS, W., SHUCHMAN, R. A., LYZENGA, D. R., RUFENACH, C. L. & TUCKER, M. J. 1985 Theory of synthetic aperture radar ocean imaging: a MARSEN view. J. Geophys. Res. 90, 4659-4686.
13. HENDERSON, D. & HAMMACK, J. 1987 Experiments on ripple instabilities. Part 1. Resonant triads. J. Fluid Mech. 184, 15-41.
14. KIT, E. & SHEMER, L. 1989a Long-time evolution and regions of existence of parametrically excited nonlinear cross-waves in a tank. J. Fluid Mech. 209, 249-263.
15. KIT, E. & SHEMER, L. 1989b On dissipation coefficients in a rectangular wave tank. Acta Mech. 77, 171-180.
16. KRASITSKII, V. P. 1994 On the reduced equations in the Hamiltonian theory of weakly nonlinear surface waves. J. Fluid Mech. 272, 1-20.
17. KRASITSKII, V. P. & KALMYKOV, V. A. 1993 Four-wave reduced equations for surface gravity waves. Izv. Atmos. Ocean. Phys. 29, 222-228.
18. LAKE, B. M. & YUEN, H. C. 1977 A note on some nonlinear water-wave experiments and the comparison of data with theory. J. Fluid Mech. 83, 75-81.
19. LIGHTHILL, M. J. 1965 Contributions to the theory of waves in non-linear dispersive systems J. Inst. Math. Applies. 1, 269-306.
20. LONGUET-HIGGINS, M. S. 1992 Theory of weakly damped Stokes waves: a new formulation and its physical interpretation. J. Fluid Mech. 235, 319-324.
21. LONGUET-HIGGINS, M. S. 1995 Parasitic capillary waves: a direct calculation. J. Fluid Mech. 301, 79-107.
22. MCGOLDRICK, L. F. 1965 Resonant interactions among capillary-gravity waves. J. Fluid Mech. 21, 305-331.
23. MCGOLDRICK, L. F., PHILLIPS, O. M., HUANG, N. E. & HODGSON, T. H. 1966 Measurements of third-order resonant wave interactions. J. Fluid Mech. 25, 437-456.
24. MCLEAN, J. W. 1982 Instabilities of finite-amplitude water waves. J. Fluid Mech. 114, 315-330.
25. MCLEAN, J. W., MA, Y. C., MARTIN, D. U., SAFFMAN, P. G. & YUEN, H. C. 1981 A new type of three-dimensional instability of finite amplitude gravity waves. Phys. Rev. Lett. 46, 817-820
26. MELVILLE, W. K. 1982 The instability and breaking of deep-water waves. J. Fluid Mech. 115, 165-185.
27. MELVILLE, W. K. 1983 Wave modulation and breakdown. J. Fluid Mech. 128, 489-506.
28. PERLIN, M. & HAMMACK, J. 1991 Experiments on ripple instabilities. Part 3. Resonant quartets of the Benjamin-Feir type. J. Fluid Mech. 229, 229-268.
29. PERLIN, M., HENDERSON, D. & HAMMACK, J. 1990 Experiments on ripple instabilities. Part 2. Selective amplification of resonant triads. J. Fluid Mech. 219, 51-80.
30. RUVINSKI, K. D., FELDSTEIN, F. I. & FREIDMAN, G. I. 1986 Effect of nonlinear damping, associated with the generation of capillary-gravity ripples, on the stability of short wind waves and their modulation by a train of internal waves. Izv. Atmos. Ocean. Phys. 22, 219-224
31. RUVINSKI, K. D., FELDSTEIN, F. I. & FREIDMAN, G. I. 1991 Numerical simulations of the quasistationary stage of ripple excitation by steep gravity-capillary waves. J. Fluid Mech. 230, 339-353.
32. SHEMER, L., KIT, E. & MILOH, T. 1987 Measurements of two- and three-dimensional waves in a channel, including the vicinity of cut-off frequencies. Exps. Fluids 5, 66-72.
33. SHEMER, L. & MAROM, M. 1993 Estimates of ocean coherence time by an interferometric SAR. Int J. Remote Sens. 14, 3021-3029.
34. SHEMER, L. & STIASSNIE, M. 1985 Initial instability and long-time evolution of Stokes waves. In The Ocean Surface: Wave breaking, Turbulent Mixing and Radio Probing (ed. Y. Toba & H. Mitsuyasu), pp. 51-57. D. Reidel.
35. STIASSNIE, M. & SHEMER, L. 1984 On modification of the Zakharov equation for surface gravity waves J. Fluid Mech. 143, 229-312.
36. STURM, G. V. & SORELL, F. Y. 1973 Optical wave measurement technique and experimental comparison with conventional wave height probes. Appl. Opt. 12, 1928-1933.
37. SU, M.-Y, BERGIN, M., MARLER, P. & MYRICK, R. 1982 Experiments on nonlinear instabilities and evolution of steep gravity-wave trains. J. Fluid Mech. 124, 45-72.
38. TUCKER, M. J. 1985 The imaging of waves by satellite borne synthetic aperture radar: the effects of sea-surface motion. Intl J. Remote Sens. 6, 1059-1074.
39. YUEN, H. C. & LAKE, B. M. 1982 Nonlinear dynamics of deep-water gravity waves. Ann. Rev. Fluid Mech. 22, 67-229.
40. ZAKHAROV, V. E. 1968 Stability of period waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 2, 190-194.
41. ZHANG, J. & MELVILLE, W. K. 1987 Three-dimensional instabilities of nonlinear gravity-capillary waves. J. Fluid Mech. 174, 187-208.