Subharmonic resonance of Venice gates in waves. Part 1. Evolution equation and uniform incident waves

Journal of Fluid Mechanics

Volumn 349, Issue , 1997, Pages 295-325

  Sammarco, Paolo ^a,b   Tran, Hoang H ^a   Mei, Chiang C ^a  

^a Massachusetts Institute of Technology   (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FLOOD CONTROL; RESONANCE; WATER WAVES;

EVOLUTION EQUATION; SUBHARMONIC RESONANCE;

HYDRAULIC GATES;

EID: 0031250485     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097006848     Document Type: Article

References (24)

1. BLONDEAUX, P., SEMINARA, G. & VITTORI, G. 1993a Linear response of the gate system for Protection of the Venice Lagoon. Note I. Transverse free modes. Rend. Mat. Acc. Lincei A 59, 291-298.
2. BLONDEAUX, P., SEMINARA, G. & VITTORI, G. 1993b Linear response of the gate system for protection of the Venice Lagoon. Note II. Excitation of transverse subharmonic modes. Rend. Mat. Acc. Lincei A 59, 299-305.
3. BUCHAN, S. J. & PRITCHARD, W. G. 1995 Experimental observations of edge waves. J. Fluid Mech. 288, 1-36.
4. CONSORZIO "VENEZIA NUOVA" 1988a Modelli fisici delle paratoie a spinta di galleggiamento (in Italian). Tech. Rep. 291 Estramed SpA.
5. CONSORZIO "VENEZIA NUOVA" 1988b Study on the influence of the inclination angle and the gate shape on gate response. Studio 2.2.10. Tech. Rep. Delft Hydraulics.
6. DORE, B. D. 1969 The decay of oscillations of a non-homogeneous fluid within a container. Proc. Camb. Phil. Soc. 65, 301-307.
7. GREENSPAN, H. P. 1968 The Theory of Rotating Fluid. Cambridge University Press.
8. GUZA, R. T. & BOWEN, A. J. 1976 Finite amplitude Stokes edge waves. J. Mar. Res. 34, 269-293.
9. HENDERSON, D. M. & MILES, J. W. 1991 Faraday waves in 2:1 internal resonance. J. Fluid Mech. 222, 449-470.
10. JIANG, L., TING, C., PERLIN, M. & SCHULTZ, W. W. 1996 Moderate and steep Faraday waves instabilities, modulation and temporal asymmetries. J. Fluid Mech. 329, 275-307.
11. JOHNS, B. 1968 A boundary layer method for the determination of the viscous damping of small amplitude gravity waves. Q. J. Mech. Appl. Maths 21, 93-103.
12. JONGELING, T. H. G. & KOLKMAN, P. A. 1995 Subharmonic standing cross waves leading to low-frequency resonance of a submercible flap-gate barrier. Proc. 6th Intl Conf. Flow-induced Vibrations, Imperial College, UK April 10-15.
13. MEI, C. C. 1989 The Applied Dynamics of Ocean Surface Waves. World Scientific, Teaneck, NJ.
14. MEI, C. C. & LIU, X. 1973 The damping of surface gravity waves in a bounded liquid. J. Fluid Mech. 59, 239-256.
15. MEI, C. C., SAMMARCO, P., CHAN, E. S. & PROCACCINI, C. 1994 Subharmonic resonance of proposed storm gates for Venice Lagoon. Proc. R. Soc. Lond. A 444, 463-479.
16. MILES, J. W. 1990 Parametrically excited standing edge waves. J. Fluid Mech. 214, 43-57.
17. MILES, J. W. 1993 On Faraday waves. J. Fluid Mech. 248, 671-683.
18. MINZONI, A. A. & WHITHAM, A. J. 1977 On the excitation of edge waves on beaches. J. Fluid Mech. 79, 273-287.
19. ROCKLIFF, N. 1978 Finite amplitude effects in free and forced edge waves. Math. Proc. Camb. Phil. Soc. 83, 257-265.
20. SAMMARCO, P. 1996 Theory of subharmonic resonance of Venice Lagoon storm gates. PhD thesis, MIT, Dept. of Civil & Environmental Engineering.
21. SAMMARCO, P., TRAN, H. H., GOTTLIEB, O. & MEI, C. C. 1997 Subharmonic resonance of Venice gates in waves. Part 2. Sinusoidally modulated incident waves. J. Fluid Mech. 349, 327-359.
22. TRAN, H. 1996 Experiments on subharmonic resonance of Venice Lagoon storm gates. MS thesis, MIT, Dept. of Civil & Environmental Engineering.
23. VARISCO, D. 1992 Interaction between flap gates and tidal current and waves. Abstract 23rd Conf. Coastal Engineering, ASCE.
24. VITTORI, G., BLONDEAUX, P. & SEMINARA G. 1996 Waves of finite amplitude trapped by oscillating gates Proc. R. Soc. Lond. A 452, 791-811.