Surf and Swash Zone Morphology Evolution Induced by Nonlinear Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 128, Issue 3
Abstract
Nonlinear wave transformation in the surf and swash zone is computed by a nonlinear breaking wave model based on the numerical solution of the Boussinesq-type equations. Instead of classical equations, higher-order equations in dispersion as well as in nonlinearity are derived and used inside and outside the surf zone. The Dibajnia and Watanabe transport rate formula involving unsteady aspects of the sand transport phenomenon is adopted for estimating sheet flow sediment transport rates as well as the bed load and suspended load over ripples. For the calculation of the suspended load induced by wave breaking, the Bailard formula is used after the consideration that the only dissipation mechanism is the wave breaking. Runup and rundown as well as sediment transport in the swash zone are incorporated in the model. The model is able to reproduce beach accretion and erosion without the use of an erosion/accretion criterion. The model is validated against large-scale experimental data.
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References
Ahrens, J. P., and Hands, E. B.(1998). “Velocity parameters for predictiong cross-shore sediment transport.” J. Waterw., Port, Coastal, Ocean Eng., 124(1), 16–20.
Bailard, J. A.(1981). “An energetics total sediment transport model for a plane sloping beach.” J. Geophys. Res., 86(C11), 10938–10954.
Briad, M.-H. G., and Kamphuis, J. W.(1993). “Sediment transport in the surf zone: A quasi 3-D numerical model.” Coastal Eng., 20, 135–156.
Brocchini, M. P., Cherubini, P., and Iovenitti, L. (1991). “An extension of Boussinesq type model to the surf zone.” Proc., 2nd Conf. on Computer Modelling in Ocean Engineering, Balkema, Rotterdam, The Netherlands, 349–359.
Brocchini, M., Drago, M., and Iovenitti, L. (1993). “The modelling of short waves in shallow waters. Comparison of numerical models based on Boussinesq and Serre equations.” Proc., Int. Conf. on Coastal Engineering 1992, ASCE, New York, 76–88.
Cox, D. T., Kobayashi, N., and Okayasu, A.(1996). “Bottom shear stess in the surf zone.” J. Geophys. Res., 101(C6), 14337–14348.
Deigaard, R. (1989). “Mathematical modelling of waves in the surf zone.” Prog. Rep. 69, ISVA, Technical Univ. of Denmark, Lyngby, 47–59.
Dette, H. H., Peters, K., and Newe, J. (1998) “Large wave flume experiment ’96/97.” MAST III-SAFE Project, Rep. No. 825.
de Vriend, H. J., and Stive, M. J. F.(1987). “Quasi-3D modelling of nearshore currents.” Coastal Eng., 11, 565–601.
Dibajnia, M., Moriya, T., and Watanabe, A.(2001). “A representative wave model for estimation of nearshore local transport rate.” Coastal Eng. J., 43(1), 1–38.
Dibajnia, M., and Watanabe, A. (1993). “Sheet flow under nonlinear waves and currents.” Proc., Int. Conf. on Coastal Engineering 1992, ASCE, New York, 2015–2028.
Dibajnia, M., and Watanabe, A. (1997). “A transport rate formula for mixed sands.” Proc., Int. Conf. on Coastal Engineering 1996, ASCE, New York, 3791–3804.
Dibajnia, M., and Watanabe, A.(1998). “Transport rate under irregular sheet flow conditions.” Coastal Eng., 35, 167–183.
Dingemans, M. W. (1997). “Water wave propagation over uneven bottoms: 2. Nonlinear wave propagation,” Adv. Ser. Ocean Eng., Vol. 13, World Scientific, River Edge, N.J.
Hands, E. B., Ahrens, J. P., and Resio, D. T. (1997). “Predicting large-scale, cross-shore sediment movement from orbital speeds.” Proc., Int. Conf. on Coastal Engineering 1996, ASCE, New York, 3378–3390.
Horikawa, K. (1988). “Nearshore dynamics and coastal processes.” University Tokyo Press, Tokyo.
Janssen, C. M., and Ribberink, J. S. (1997). “Grain-size influence on sand transport in oscillatory sheet flow.” Proc., Int. Conf. on Coastal Engineering 1996, ASCE, New York, 4779–4792.
Jonsson, I. G., and Carlsen, N. A.(1976). “Experimental and theoretical investigations in an oscillatory turbulent boundary layer.” J. Hydraul. Res., 14(1), 45–60.
Kajima, R., Shimizu, T., Maruyama, K., and Saito, S. (1983). “Experiments on beach profile change with a large wave flume.” Proc., Int. Conf. on Coastal Engineering 1982, ASCE, New York, 1385–1404.
Karambas, Th. V.(1996). “Nonlinear wave energy modelling in the surf zone.” Nonlinear Process. Geophys., 3, 127–134.
Karambas Th. V. (1999a). “2DH non-linear dispersive wave modelling and sediment transport in the nearshore zone.” Proc., Int. Conf. on Coastal Engineering 1998, ASCE, Reston, Va., 2940–2953.
Karambas, Th. V.(1999b). “A unified model for periodic non linear dispersive wave in intermediate and shallow water.” J. Coastal Res., 15(1), 128–139.
Karambas, Th. V., Southgate, H. N., and Koutitas, C. (1995). “A Boussinesq model for inshore zone sediment transport using an energetics approach.” Coastal Dyn. ’95, 841–849.
Katopodi, I., and Ribberink, J. S.(1992). “Quasi-3D modelling of suspended sediment transport by currents and waves.” Coastal Eng., 18, 83–110.
Kim, T., and Wang, H. (1997). “Numerical modeling of nearshore morphological changes under a current-wave field.” Proc., Int. Conf. on Coastal Engineering 1996, ASCE, New York, 3830–3845.
Larson, M.(1996). “Model of beach profile change under random waves.” J. Waterw., Port, Coastal, Ocean Eng., 122(4), 172–181.
Larson, M., Kubota, S., and Erikson, L. (2001). “A model of sediment transport and profile evolution in the swash zone.” Coastal Dyn. ’01, ASCE, Reston, Va., 908–917.
Leont’yev, I. O.(1996). “Numerical modelling of beach erosion during storm event.” Coastal Eng., 29, 187–200.
Madsen, O. S. (1991). “Mechanics of cohesionless sediment transport in coastal waters.” Proc., Coastal Sediment ’91, ASCE, New York, 15–27.
Madsen, O. S., and Grant, W. D. (1976). “Quantitative description of sediment transport by waves.” Proc., Int. Conf. on Coastal Engineering 1976, ASCE, New York, 1093–1112.
Madsen, P. A., Murray, R., and Sorensen, O. R.(1991). “A new form of the Boussinesq equations with improved linear dispersion characteristics.” Coastal Eng., 15, 371–388.
Madsen, P. A., and Schäffer, H. A.(1998). “Higer-order Boussinesq-type equations for surface gravity waves: Derivation and analysis.” Philos. Trans. R. Soc. London, 356, 3123–3184.
Madsen, P., Sorensen, O., and Schaffer, H.(1997). “Surf zone dynamics simulated by a Boussinesq type model. Part I. Model description and cross-shore motion of regular waves.” Coastal Eng., 32, 255–287.
Mei, C. C. (1983). “The applied dynamics of ocean surface waves.” Wiley, New York.
Nielsen, P. (1992). “Coastal bottom boundary layers and sediment transport.” Advanced series on ocean engineering, Vol. 4, Word Scientific, River Edge, N.J.
Peregrine, D. H. (1972). “Equations for water waves and the approximation behind them.” Waves on beaches and resulting sediment transport, R. E. Meyer, ed., Academic, San Diego.
Putrevu, U., and Svendsen, I. A.(1993). “Vertical structure of the undertow outside the surf zone.” J. Geophys. Res., 98(C12), 22707–22716.
Rakha, K. A., Deigaard, R., and Broker, I.(1997). “A phase-resolving cross shore transport model for beach evolution.” Coastal Eng., 31, 231–261.
Roelvink, J. A., and Reniers, A. J. H. M. (1995). “LIP 11D delta flume experiments.” Delft Hydraulics, Delta data Rep. H 2130, Delft, The Netherlands.
Roelvink, J. A., and Stive, M. J. F.(1989). “Bar-generating cross-shore flow mechanics on a beach.” J. Geophys. Res., 94(C4), 4785–4800.
Schaffer, H. A., and Madsen, P. A.(1995). “Further enhancements of Boussinesq-type equations.” Coastal Eng., 26, 1–14.
Schaffer, H. A., Madsen, P. A., and Deigaard, R.(1993). “A Boussinesq model for waves breaking in shallow water.” Coastal Eng., 20, 185–202.
Sobey, R. J. (1993). “Conservation properties of the mild slope and Boussinesq equations.” Proc., Waves ’93, 135–149.
Staub, C., Jonsson, I. G., and Svendsen, I. A.(1996). “Sediment suspension in oscillatory flow: Measurements of instantaneous concentration at high shear.” Coastal Eng., 27, 67–96.
Svendsen, I. A.(1984). “Wave heights and setup in a surf zone.” Coastal Eng., 8, 303–329.
Synolakis, C. E.(1987). “The runup of solitary waves.” J. Fluid Mech., 185, 523–545.
Veeramony, J., and Svendsen, I. A.(2000). “The flow in surf-zone waves” Coastal Eng., 39, 93–122.
Watanabe, A., and Dibajnia, M. (1997). “Mathematical models for waves and beach profiles in surf and swash zones.” Proc., Int. Conf. on Coastal Engineering 1996, ASCE, New York, 3104–3114.
Wei, G., and Kirby, J. T.(1995). “Time-dependent numerical code for extended Boussinesq equations.” J. Waterw., Port, Coastal, Ocean Eng., 121(5), 251–261.
Zelt, J. A.(1991). “The run-up of nonbreaking and breaking solitary waves.” Coastal Eng., 15, 205–246.
Zou, Z. L.(1999). “Higher order Boussinesq equations.” Coastal Eng., 26, 767–792.
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Copyright © 2002 American Society of Civil Engineers.
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Received: Apr 19, 2001
Accepted: Jan 24, 2002
Published online: Apr 15, 2002
Published in print: May 2002
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