Improved linear representation of ocean surface waves

Journal of Fluid Mechanics

Volumn 205, Issue , 1989, Pages 135-161

  Creamer, Dennis B ^a   Henyey, Frank ^a   Wright, Jon ^a   Schult, Roy ^a  

^a La Jolla Institute ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTERS--APPLICATIONS; FLUID DYNAMICS; HYDRODYNAMICS; MATHEMATICAL TECHNIQUES--INTEGRAL EQUATIONS;

HAMILTONIAN STRUCTURE; HILBERT TRANSFORM; LIE - TRANSFORM THEORY; OCEAN SURFACE WAVES; SHORT AND LONG WAVES; SURFACE GRAVITY WAVES;

WATER WAVES;

EID: 0024718862     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112089001977     Document Type: Article

References (18)

1. Barrick, D. E. & Weber, B. L. 1976 On the nonlinear theory for gravity waves on the ocean’s surface - Part II: Interpretation and applications. J. Phys. Oceanogr. 7, 11–21.
2. Cary, J. R. 1981 Lie transform perturbation theory for Hamiltonian systems. Phys. Rep. 79, 129–159.
3. Courant, R. & Hilbert, D. 1937 Methods of Mathematical Physics. Interscience.
4. Garrett, C. & Smith, J. 1976 On the interactions between long and short waves. J. Phys. Oceanogr. 6 925–930.
5. Goldstein, H. 1980 Classical Mechanics. Addison-Wesley.
6. Hasselmann, K. 1984 The science and art of wave prediction-an ode to H0601. In A Celebration in Geophysics and Oceanography - 1982. Scripps Institution of Oceanography Reference Series 84–5, 1984.
7. Henyey, F. S., Creamer, D. B., Dysthe, K. B., Schult, R. L. & Wright, J. A. 1988 The energy and action of small waves riding on large waves. J. Fluid Mech. 198, 443–462.
8. Kitaigorodski, S. A. 1983 On the theory of the equilibrium range in the spectrum of wind-generated gravity waves. J. Phys. Oceanogr. 3, 816–827
9. Longuet-higgins, M. S. 1986 Eulerian and Lagrangian aspects of surface waves. J. Fluid Mech. 173, 683–707.
10. Longuet-higgins, M. S. & Stewart, R. W. 1964 Radiations stresses in water waves; a physical discussion, with applications. Deep-Sea Res. 11, 529–562.
11. Miles, J. Hamiltonian formulations for surface waves. AppL Sci. Res. 37, 103–110.
12. Phillips, O. M. 1977 The Dynamics of the Upper Ocean. Cambridge University Press.
13. Phillips, O. M. 1985 Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech. 156, 505–531.
14. Schwarz, L. W. 1974 Computer extension and analytic continuation of Stoke’s expansion for gravity waves. J. Fluid Mech. 62, 553–578.
15. Toba, Y. 1973 Local balance in the air-sea boundary processes. III. On the spectrum of wind waves. J. Oceanogr. Soc. Japan 29, 1064–1068.
16. West, B. J. 1981 Deep Water Gravity Waves, p. 33. Springer
17. Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley.
18. Zakharov, V. E. 1968 Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys. 9, 190–194.