An asymptotic theory for the generation of nonlinear surface gravity waves by turbulent air flow

Journal of Fluid Mechanics

Volumn 320, Issue , 1996, Pages 287-304

  Van Duin, Cornelis A ^a  

^a ROYAL NETHERLANDS METEOROLOGICAL INSTITUTE KNMI   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; DAMPING; DRAG; FREQUENCIES; INTERFACES (MATERIALS); STRESSES; TURBULENT FLOW; WATER;

ASYMPTOTIC THEORY; CLOSED FORM EXPRESSION; LANDAU EQUATION; STOKES WAVE;

GRAVITY WAVES;

AIR FLOW; GRAVITY WAVES; TURBULENCE;

EID: 0030207788     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096007549     Document Type: Article

References (31)

1. ABRAMOWITZ, M. & STEGUN, I. A. 1964 Handbook of Mathematical Functions. Natl Bureau of Standards.
2. AL-ZANAIDI, M. A. & HUI, W. H. 1984 Turbulent airflow over water waves-a numerical study. J. Fluid Mech. 148, 225-246.
3. AKYLAS, T. R. 1982 A nonlinear theory for the generation of water waves by wind. Stud. Appl. Maths 67, 1-24.
4. BELCHER, S. E. & HUNT, J. C. R. 1993 Turbulent shear flow over slowly moving waves. J. Fluid Mech. 251, 109-148.
5. BELCHER, S. E., HARRIS J. A. & STREET, R. L. 1994 Linear dynamics of wind waves in coupled turbulent air-water flow. Part 1. Theory. J. Fluid Mech. 271, 119-151.
6. BENJAMIN, T. B. 1959 Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161-205.
7. BRITTER, R. E., HUNT J. C. R. & RICHARDS, K. J. 1981 Air flow over a 2-d hill: studies of velocity speed-up, roughness effects and turbulence. Q. J. R. Met. Soc. 107, 91-110.
8. BURGERS, G. J. H. & MAKIN V. K. 1993. Boundary-layer model results for wind-sea growth. J. Phys. Oceanogr. 23, 372-385.
9. CHALIKOV, D. V. 1976 A mathematical model of wind-induced waves. Dokl. Akad. Nauk. SSSR 229, 1083-1086.
10. CHALIKOV, D. V. 1978. The numerical simulation of wind-wave interaction. J. Fluid Mech. 87, 561-582.
11. CHARNOCK, H. 1955. Wind stress on a water surface. Q. J. R. Met. Soc. 81, 639-640.
12. DAVIS, R. E. 1972 On prediction of the turbulent flow over a wavy boundary. J. Fluid Mech. 52, 287-306.
13. DAVIS, R. E. 1974 Perturbed turbulent flow, eddy viscosity and generation of turbulent stresses. J. Fluid Mech. 63, 673-693.
14. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
15. DUIN, C. A. VAN 1994 An asymptotic theory for the generation of nonlinear surface gravity waves by turbulent air flow. Internal memorandum of KNMI, De Bilt.
16. DUIN, C. A. VAN 1996 An analytical model of the generation of nonlinear water waves by turbulent air flow. In The Air-Sea Interface (ed. M. A. Donelan, W. H. Hui & W. J. Plant). The University of Toronto Press, Toronto (in press).
17. DUIN, C. A. VAN & JANSSEN, P. A. E. M. 1992 An analytic model of the generation of surface gravity waves by turbulent air flow. J. Fluid Mech. 236, 197-215 (referred to herein as VDJ).
18. FABRIKANT, A. L. 1976 Quasilinear theory of wind-wave generation. Izv. Atmos. Oceanic Phys. 12, 524-526.
19. GENT, P. R. & TAYLOR, P. A. 1976 A numerical model of the air flow above water waves. J. Fluid Mech. 77, 105-128.
20. JACOBS, S. J. 1987 An asymptotic theory for the turbulent flow over a progressive water wave. J. Fluid Mech. 174, 69-80.
21. JANSSEN, P. A. E. M. 1982 Quasi-linear approximation for the spectrum of wind-generated water waves. J. Fluid Mech. 117, 493-506.
22. JENKINS, A. D. 1992 A quasi-linear eddy-viscosity model for the flux of energy and momentum to wind waves using conservation-law equations in a curvilinear coordinate system. J. Phys. Oceanogr. 22, 843-858.
23. KNIGHT, D. 1977 Turbulent flow over a wavy boundary. Boundary Layer Met. 11, 205-222.
24. MAKIN, V. K. 1989 Numerical approximation of the wind wave interaction parameter. Meteorologica i Gidrologia No. 10, 106-108. (Engl. transl. Sov. Met. Hydrol., No. 10.)
25. MAKIN, V. K. 1989 Numerical approximation of the wind wave interaction parameter. Meteorologica i Gidrologia No. 10, 106-108. (Engl. transl. Sov. Met. Hydrol., No. 10.)
26. MILES, J. W. 1957 On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185-204.
27. MILES, J. W. 1959 On the generation of surface waves by shear flows. Part 2. J. Fluid Mech. 6, 568-582.
28. MILES, J. W. 1962 On the generation of surface waves by shear flows. Part 4. J. Fluid Mech. 13, 433-448.
29. MILES, J. W. 1993 Surface-wave generation revisited. J. Fluid Mech. 256, 427-441.
30. SYKES, R. I. 1980 An asymptotic theory of incompressbile turbulent boundary-layer flow over a small hump. J. Fluid Mech. 101, 647-670.
31. TOWNSEND, A. A. 1972 Flow in a deep turbulent boundary layer over a surface distorted by water waves. J. Fluid Mech. 55, 719-735.