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A particle image velocimetry investigation on laboratory surf-zone breaking waves over a sloping beach

Published online by Cambridge University Press:  24 September 2007

O. KIMMOUN  and
H. BRANGER
O. KIMMOUN
Affiliation:
Ecole Centrale de Marseille, Technopôle Château-Gombert, 13451 Marseille, France
H. BRANGER
Affiliation:
IRPHE, CNRS, Aix-Marseille Université, Marseille, [email protected]; [email protected]
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Abstract

Particle image velocimetry (PIV) measurements were performed in a wave tank under water waves propagating and breaking on a 1/15 sloping beach. The wave transformation occurred in the surf zone over a large domain covering several wavelengths from incipient breaking to swash zone beyond the shoreline. PIV spatial interrogation windows must be small enough to obtain accurate velocities, and one window covers only a small part of the domain. To overcome this problem and to measure the instantaneous velocity field over the whole surf zone area, we have split the full field into 14 overlapping smaller windows of the same size. Local measurements were synchronized with each other using pulsed TTL triggers and wave gauge data. The full velocity field was then reconstructed at every time step by gathering the 14 PIV fields. We then measured the complete space–time evolution of the velocity field over the whole surf zone. We determined also the ensemble-period-average and phase-average components of the flow with their associated fluctuating parts. We used the PIV images and velocity measurements to estimate the void fraction in each point of the surf zone. Special attention was given to the calculation of the spatial derivatives in order to obtain relevant information on vorticity and on the physical terms that appear in the fluctuating kinetic energy transport equation.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 588 , 10 October 2007 , pp. 353 - 397
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Adrian, R. J. 1991 Particle-imaging techniques for experimental fluid mechanics. Annu. Rev. Fluid Mech. 23, 261–304.CrossRefGoogle Scholar
Basco, D. R. 1985 A qualitative description of wave breaking. J. Waterway Port Coastal Ocean Engng 111, 171–188.CrossRefGoogle Scholar
Battjes, A. 1988 Surf-zone dynamics. Annu. Rev. Fluid Mech. 20, 257–293.CrossRefGoogle Scholar
Blenkinsopp, C. E. & Chaplin, J. R. 2005 Measurement of air–water interfaces in plunging breaking waves. Proc. 20th WWWFB International Workshop on Water Waves and Floating boadies, Longyearbyen, Norway (ed. Grue, J.), vol. 1, pp. 27–30.Google Scholar
Bonmarin, P. 1989 Geometric properties of deep water breaking waves. J. Fluid Mech. 209, 405–433.CrossRefGoogle Scholar
Brocchini, M. & Peregrine, D. H. 2001 a The dynamics of strong turbulence at free surface. Part 1. Description. J. Fluid Mech. 449, 225–254.CrossRefGoogle Scholar
Brocchini, M. & Peregrine, D. H. 2001 b The dynamics of strong turbulence at free surface. Part 2. Free-surface boundary conditions. J. Fluid Mech. 449, 255–290.CrossRefGoogle Scholar
Chang, K. A., Hsu, T. J. & Liu, P. L. 2001 Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle: Part I, solitary waves. Coastal Engng 44, 13–36.CrossRefGoogle Scholar
Chang, K. A., Hsu, T. J. & Liu, P. L. 2005 Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle: Part II, cnoidal waves. Coastal Engng 52, 257–283.CrossRefGoogle Scholar
Chang, K. A. & Liu, P. L. 1998 Velocity, acceleration and vertical vortex under a breaking wave. Phys. Fluids 10, 327–329.CrossRefGoogle Scholar
Chang, K. A. & Liu, P. L. 1999 Experimental investigation of turbulence generated by breaking waves in water of intermediaite depth. Phys. Fluids 11, 3390–3400.CrossRefGoogle Scholar
Chanson, H., Aoki, S. & Maruyama, M. 2002 Unsteady air bubble entrainment and detrainment at a plunging breaker dominant time scales and similarity of water level variations. Coastal Engng 46, 139–157.Google Scholar
Christensen, E. D., Walstra, D. J. & Emerat, N. 2002 Vertical variation of the flow across the surf zone. Coastal Engng 45, 169–198.Google Scholar
Cohn, R. K. & Koochesfahani, M. M. 2000 The accuracy of remapping irregularly spaced velocity data onto a regular grid and the computation of vorticity. Exps. Fluids Suppl., S61–S69.Google Scholar
Conley, D. C. & Inman, D. L. 1992 Field observations of the fluid granular boundary layer under near breaking waves. J. Geophys. Res. 97, 9631–9643.CrossRefGoogle Scholar
Cowen, E. A. & Monismith, S. G. 1997 A hybrid digital particle tracking velocimetry technique. Exps. Fluids 22, 199–211.CrossRefGoogle Scholar
Cowen, E. A., Sou, I. M., Liu, L. F. & Raubenheimer, B. 2003 PIV measurements within a laboratory generated swash zone. J. Engng Mech. 129, 1119–1129.Google Scholar
Cox, D. T. & Anderson, S. L. 2001 Statistics of intermittent surf zone turbulence and observations of large eddies using PIV. Coastal Engng 43 (2), 121–131.CrossRefGoogle Scholar
Cox, D. T. & Kobayashi, N. 1997 A kinematic undertow model with a logarithmic boundary layer. J. Waterway Port Coastal Ocean Engng 123, 354–360.CrossRefGoogle Scholar
Cox, D. T. & Kobayashi, N. 2000 Identification of intense intermittent coherent motions under shoaling and breaking waves. J. Geophys. Res. 105, 14 223–14 236.CrossRefGoogle Scholar
Cox, D. T. & Shin, S. 2003 Laboratory measurements of void fraction and turbulence in the bore region of surf zone waves. J. Engng Mech. 129, 1197–1205.Google Scholar
Cox, D., Kobayashi, N. & Koyabasu, A. 1995 Experimental and numerical modeling of surf zone hydrodynamics. CACR Tech. Rep.Google Scholar
Dabiri, D. & Gharib, M. 1997 Experimental investigation of the vorticity generation within a spilling water wave. J. Fluid Mech. 330, 113–139.Google Scholar
Dancey, C. L. & Diplas, P. 2003 The Probability of Sediment Movement at the Threshold of Motion and Time Dependent Fluid Processes. San Diego Tech. Book, Albert Gyr.Google Scholar
De Boor, C. 1978 A Practical Guide to Splines. Springer. (Revised edition 2001).Google Scholar
De Serio, F. & Mossa, M. 2006 Experimental study on the hydrodynamics of regular breaking waves. Coastal Engng 53, 99–113.Google Scholar
Efron, B. & Tibshirani, R. 1993 An Introduction to the Bootstrap. Chapman & Hall.Google Scholar
Fenton, J. D. 1985 A 5th-order Stokes theory for steady waves. J. Waterway Port Coastal Ocean Engng 111, 216–233.CrossRefGoogle Scholar
Fouras, A. & Soria, J. 1999 Accuracy of out of plane vorticity measurements from in-plane velocity field data. Exps. Fluids 22, 409–430.Google Scholar
George, R., Flick, R. E. & Guza, R. T. 1994 Observations of turbulence in the surf zone. J. Geophys. Res. 99, 801–810.CrossRefGoogle Scholar
Govender, K. 1999 Velocity, vorticity and turbulence measurements in the surf zone. PhD thesis, University of Natal, Durban.Google Scholar
Govender, K., Mocke, G. P. & Alport, M. J. 2002 Video-imaged surf zone and roller structures and flow fields. J. Geophys. Res. 107, X1–X21.Google Scholar
Hattori, M. & Aona, T. 1985 Experimental study on turbulence structures under breaking waves. Coastal Eng. Japan 28, 97–116.CrossRefGoogle Scholar
Hinze, J. 1975 Turbulence, 2nd edn. McGraw–Hill.Google Scholar
Hoque, A. & Aoki, S. 2005 Distributions of void fraction under breaking waves in the surf zone. Ocean Engng 32, 1829–1840.CrossRefGoogle Scholar
Jansen, P. C. 1986 Laboratory observation of the kinematics in the aerated region of breaking waves. Coastal Engng 9, 453–477.Google Scholar
Kimmoun, O., Branger, H. & Zucchini, Z. 2004 Laboratory PIV measurements of wave breaking on a beach. Proc. ISOPE Meeting, Toulon, France VR202, pp. 1–6.Google Scholar
Lamarre, E. & Melville, W. K. 1991 Air-entrainment and dissipation in breaking waves. Nature 351, 469–451.Google Scholar
Lamarre, E. & Melville, W. K. 1994 Void fraction measurements and sound speed fields in bubble plumes generated by breaking waves. J. Acoust. Soc. Am. 95, 1317–1328.Google Scholar
Lin, J. C. & Rockwell, D. 1994 Instantaneous structure of a breaking wave. Phys. Fluids 6 (9), 2877–2879.CrossRefGoogle Scholar
Lin, J. C. & Rockwell, D. 1995 Evolution of a quasi-steady breaking wave. J. Fluid Mech. 302, 29–43.CrossRefGoogle Scholar
Loewen, M. R. & Melville, W. K. 1994 An experimental investigation of the oscillations of bubble plumes entrained by breaking waves. J. Acoust. Soc. 96 (3), 1329–1343.Google Scholar
Longo, S. 2003 Turbulence under spilling breakers unsing discrete wavelets. Exps. Fluids 34, 181–191.Google Scholar
Lubin, P., Vincent, S., Abadie, S. & Caltagirone, J. P. 2006 Three-dimensional large eddy simulation of air entrainment under plunging breaking waves. Coastal Engng 53, 631–655.CrossRefGoogle Scholar
Madsen, P. A., Sovensen, O. R. & Shaffer, H. A. 1997 Surf-zone dynamics simulated by a Boussinesq type model. Coastal Engng 32, 255–319.Google Scholar
Melville, W. K., Veron, F. & White, C. J. 2002 The velocity field under breaking waves: coherent structures and turbulence. J. Fluid Mech. 454, 203–233.Google Scholar
Meunier, P. & Leweke, T. 2003 Analysis and treatment of errors due to high velocity gradients in particle image velocimetry. Exps. Fluids 35, 408–421.CrossRefGoogle Scholar
Miche, R. 1951 Le pouvoir réfléchissant des ouvrages maritimes exposés à l'action de la houle. Ann. Ponts Chaussées 121, 285–319.Google Scholar
Misra, S., Kirby, J. T., Brocchini, M., Veron, F. & Thomas, M. 2005 Coherent turbulent structures in a quasi-steady spilling breaker. Proc. Waves 05, Fifth Intl Symp. on Ocean Wave Measurements and Analysis, Madrid, pp. 1–10.Google Scholar
Mocke, G. 2001 Structure and modeling of surf zone turbulence due to wave breaking. J. Geophys. Res. 106 (C8), 17 039–17 057.Google Scholar
Nadaoka, K., Kino, M. & Koyano, Y. 1989 Structure of turbulent flow field under breaking waves in the surf zone. J. Fluid Mech. 204, 359–387.Google Scholar
Peirson, W. L. 1997 Measurement of surface velocities and shears at a wavy air–water interface using particle image velocimetry. Phys. Fluids 23, 427–437.Google Scholar
Peregrine, D. H. 1983 Breaking waves on beaches. Annu. Rev. Fluid Mech. 15, 149–178.CrossRefGoogle Scholar
Peregrine, D. H. & Svendsen, I. A. 1978 Spilling breakers, bores and hydraulic jumps. In Proc. 16th Intl Conf. Coastal Engng ASCE, vol. 16, pp. 540–550.Google Scholar
Perlin, M., Bernal, L. & He, J. 1996 An experimental study of deep water plunging breakers. Phys. Fluids 8 (9), 2365–2374.CrossRefGoogle Scholar
Petti, M. & Longo, S. 2001 Turbulence experiments in the swash zone. Coastal Engng 43, 1–24.Google Scholar
Piirto, M., Saaranrine, P., Eloranta, H. & Karvinen, R. 2003 Measuring turbulence energy with PIV in a backward-facing step flow. Exps. Fluids 35, 219–236.Google Scholar
Shamoun, B., El Beshbeeshy, M. & Bonazza, R. 1999 Light extinction technique for void fraction measurements in bubbly flow. Exps. Fluids 26, 16–26.Google Scholar
Skyner, D. 1996 A comparison of numerical and experimental measurements of the internal kinematics of a deep-water plunging wave. J. Fluid Mech. 315, 51–64.Google Scholar
Spedding, G. R. & Rignot, E. J. 1993 Performance analysis and application of grid interpolation techniques for fluid flows. Exps. Fluids 15, 417–430.Google Scholar
Stansby, P. K. & Feng, T. 2005 Kinematics and depth integrated terms in surf zone waves from laboratory measurement. J. Fluid Mech. 529, 279–310.Google Scholar
Stanton, T. P. & Thornon, E. B. 2000 Profiles of void fraction and turbulent dissipation under breaking waves in the surf zone. In Proc. 27th Intl Conf. Coastal Engng ICCE, vol. 1, pp. 70–79.Google Scholar
Svendsen, I. A. 1987 Analysis of surf zone turbulence. J. Geophys. Res. 92, 5115–5124.Google Scholar
Ting, F. C. & Kirby, J. T. 1994 Observation of undertow and turbulence in a laboratory surf zone. Coastal Engng 24, 51–80.CrossRefGoogle Scholar
Ting, F. C. & Kirby, J. T. 1995 Dynamics of surf zone turbulence in a strong plunging breaker. Coastal Engng 24, 177–204.Google Scholar
Ting, F. C. & Kirby, J. T. 1996 Dynamics of surf zone turbulence in a spilling breaker. Coastal Engng 27, 131–160.Google Scholar
Ting, F. C. K. 2001 Laboratory study of wave and turbulence velocities in a broad-banded irregular wave surf zone. Coastal Engng 43, 183–208.Google Scholar
Trowbridge, J. & Elgar, S. 2001 Turbulence measurements in the surf zone. J. Phys. Oceanogr. 31, 2403–2417.2.0.CO;2>CrossRefGoogle Scholar
Westerweel, J. 1993 Digital Particle Image Velocimetry. PhD thesis. Delft University Press.Google Scholar
Westerweel, J. 1994 Efficient detection of spurious vectors in particle image velocimetry data. Exps. Fluids 16, 236–247.Google Scholar
Westerweel, J., Daribi, D. & Gharib, M. 1997 The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital PIV recordings. Exps. Fluids 23, 20–28.Google Scholar
Wu, J. 1988 Bubbles in the near surface ocean: a general description. J. Geophys. Res. 93, 587–590.Google Scholar
Zoubir, A. M. & Boashash, B. 1998 The bootstrap and its application in signal processing. IEEE Signal Process. Mag. 15 (1), 55–76.CrossRefGoogle Scholar