Numerical Modeling of Breaking Waves and Cross-Shore Currents on Barred Beaches
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137, Issue 6
Abstract
A process-based numerical model has been used to study nearshore hydrodynamics on barred beaches. A laboratory experiment with an offshore bar migration case followed by an onshore bar migration is simulated. A new mechanism is incorporated in the model accounting for the breaking-wave persistence improving model performance for wave properties, particularly in the bar-trough region. A cross-shore variation of the breaking-wave parameter is introduced to the dissipation model. The effects of the surface shape parameter and a roller lag on radiation stresses and mean water-level predictions are investigated and found to improve the mean water-level predictions. The cross-shore variation of the momentum balance is presented to illustrate the variation of forcing for the undertow current. The persistence length and the roller lag mechanisms are shown to be important for predictions of the undertow currents on barred beaches and the current predictions are improved once both methods are used.
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Acknowledgments
This work was funded by the Coastal and Marine Geology Program of the United States Geological Survey (USGS). Their support is gratefully acknowledged. We especially would like to thank Dr. Daniel M. Hanes from USGS, Santa Cruz.
References
Alsina, J., and Baldock, T. (2007). “Improved representation of breaking wave energy dissipation in parametric wave transformation models.” Coastal Eng., 54(10), 765–769.
Apotsos, A., Raubenheimer, B., Elgar, S., and Guza, R. T. (2008). “Testing and calibrating parametric wave transformation models on natural beaches.” Coastal Eng., 55(3), 224–235.
Baldock, T. E., Holmes, P., Bunker, S., and Van Weert, P. (1998). “Cross-shore hydrodynamics within an unsaturated surf zone.” Coastal Eng., 34(3-4), 173–196.
Battjes, J. A. (1975). “Modelling of turbulence in the surfzone.” Symp. on Modelling Techniques, ASCE, Reston, VA, 58–81.
Battjes, J. A., and Janssen, J. P. F. M. (1978). “Energy loss and set-up due to breaking of random waves.” Proc., 16th Int. Conf. Coastal Engineering, ASCE, Reston, VA, 569–587.
Battjes, J. A., and Stive, M. J. F. (1985). “Calibration and verification of a dissipation model for random breaking waves.” J. Geophys. Res., 90(C5), 9159–9167.
Cambazoglu, M. K. (2009). “Numerical modeling of cross-shore sediment transport and sandbar migration.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta.
Dally, W. R., and Dean, R. G. (1984). “Suspended sediment transport and beach profile evolution.” J. Waterway, Port, Coastal, Ocean Eng., 110(1), 15–33.
Dyhr-Nielsen, M., and Sørensen, T. (1970). “Some sand transport phenomena on coasts with bars.” Proc., 12th Int. Conf. Coastal Engineering, Vol. 2, ASCE, Reston, VA, 855–866.
Faria, A. F. G., Thornton, E. B., Lippmann, T. C., and Stanton, T. P. (2000). “Undertow over a barred beach.” J. Geophys. Res., 105(C7), 16999–17010.
Greenwood, B., and Osborne, P. D. (1990). “Vertical and horizontal structure in crossshore flows: An example of undertow and wave set-up on a barred beach.” Coastal Eng., 14(6), 543–580.
Guannel, G., Özkan-Haller, H. T., and Haller, M. C. (2008). “Modeling undertow over a barred laboratory beach.” Coastal Engineering 2008: Proc., 31st Int. Conf. on Coastal Engineering, J. M. Smith, ed., World Scientific, Hackensack, NJ, 940–949.
Guza, R. T., and Thornton, E. B. (1985). “Velocity moments in the nearshore.” J. Waterway, Port, Coastal, Ocean Eng., 111(2), 235–256.
Haas, K. A., and Svendsen, I. A. (2000). “Three-dimensional modeling of rip current systems.” Ph.D. dissertation, Res. Report CACR-00-06, Center for Applied Coastal Research, Univ. of Delaware, Newark, DE.
Haas, K. A., Svendsen, I. A., Haller, M. C., and Zhao, Q. (2003). “Quasi-three-dimensional modeling of rip current systems.” J. Geophys. Res., 108(C7), 3217, .
Haas, K. A., and Warner, J. C. (2009). “Comparing a quasi-3D to a full 3D nearshore circulation model: SHORECIRC and ROMS.” Ocean Modelling, 26(1-2), 91–103.
Haines, J. W., and Sallenger, A. H., Jr. (1994). “Vertical structure of mean cross-shore currents across a barred surf zone.” J. Geophys. Res., 99(C7), 14223–14242.
Janssen, T. T., and Battjes, J. A. (2007). “A note on wave energy dissipation over steep beaches.” Coastal Eng., 54(9), 711–716.
Kirby, J. T. (2005). “An overview of the NearCoM model system: Philosophy, sample configurations and testing.” Research Report, Center for Applied Coastal Research, Univ. of Delaware, Newark, DE.
Kirby, J. T., Dalrymple, R. A., and Shi, F. (2004). “Refraction-diffraction model REF/DIF-S version 1.3, documentation and user’s manual.” Res. Rep. CACR-04-01., Center for Applied Coastal Research, Univ. of Delaware, Newark, DE.
Kuriyama, Y., and Nakatsukasa, T. (2000). “A one-dimensional model for undertow and longshore current on a barred beach.” Coastal Eng., 40(1), 39–58.
Lippmann, T. C., Brookins, A. H., and Thornton, E. B. (1996). “Wave energy transformation on natural profiles.” Coastal Eng., 27(1-2), 1–20.
Nairn, R. S., Roelvink, J. A., and Southgate, H. N. (1990). “Transition zone width and implications for modeling surfzone hydrodynamics.” Proc., 22nd Int. Conf. on Coastal Engineering, ASCE, Reston, VA, 58–81.
Nairn, R. B., and Southgate, H. N. (1993). “Deterministic profile modelling to nearshore processes. Part 2. Sediment transport and beach profile development.” Coastal Eng., 19(1-2), 57–96.
Okayasu, A., Shibayama, T., and Horikawa, K. (1988). “Vertical variation of undertow in the surf zone.” Proc., 21st Int. Conf. on Coastal Engineering, ASCE, Reston, VA, 478–491.
O’Shea, K. F., Nicholson, J., and O’Connor, B. A. (1991). “Analysis of existing laboratory data to find expressions for the transition zone length.” Res. Rep. MCE/1, Dept. of Civil Engineering, Univ. of Liverpool, UK.
Putrevu, U., and Svendsen, I. A. (1993). “Vertical structure of the undertow outside the surf zone.” J. Geophys. Res., 98(C12), 22707–22716.
Putrevu, U., and Svendsen, I. A. (1999). “Three-dimensional dispersion of momentum in wave-induced nearshore currents.” Eur. J. Mech. B, Fluids, 18(3), 409–427.
Rattanapitikon, W. (2007). “Calibration and modification of energy dissipation models for irregular wave breaking.” Ocean Eng., 34(11-12), 1592–1601.
Rattanapitikon, W., and Shibayama, T. (2000). “Simple model for undertow profile.” Coastal Eng., 42(1), 1–30.
Reniers, A. J. H. M., Thornton, E. B., Stanton, T. P., and Roelvink, J. A. (2004). “Vertical flow structure during Sandy Duck: Observations and modeling.” Coastal Eng., 51(3), 237–260.
Rivero, F. J., Sanchez-Arcilla, A., and Beyer, D. (1994). “Comparison of a wave transformation model with LIP-11D data.” Proc., Int. Conf. on Coastal Dynamics, ASCE, Reston, VA, 518–532.
Roelvink, J. A., and Reniers, A. J. H. M. (1995). “LIP 11D Delta Flume experiments: A dataset for profile validation.” Data Report H2130, Delft Hydraulics, Delft, Netherlands.
Ruessink, B., Walstra, D., and Southgate, H. (2003). “Calibration and verification of a parametric wave model on barred beaches.” Coastal Eng., 48(3), 139–149.
Sallenger, A. H. J., and Holman, R. A. (1987). “Infragravity waves over a natural barred profile.” J. Geophys. Res., [Oceans], 92(C9), 9531–9540.
Sanchez-Arcilla, A., Roelvink, J. A., O’Connor, B. A., Reniers, A., and Jimenez, J. A. (1994). “The Delta Flume’93 experiment.” Proc., Int. Conf. on Coastal Dynamics, ASCE, Reston, VA, 488–502.
Southgate, H. N., and Wallace, H. M. (1994). “Breaking wave persistence in parametric surf zone models.” Proc., Int. Conf. on Coastal Dynamics, ASCE, Reston, VA, 543–555.
Stive, M., and Wind, H. (1986). “Cross-shore mean flow in the surfzone.” Coastal Eng., 10(4), 325–340.
Svendsen, I. A. (1984a). “Mass flux and undertow in a surf zone.” Coastal Eng., 8(4), 347–365.
Svendsen, I. A. (1984b). “Wave heights and set-up in a surf zone.” Coastal Eng., 8(4), 303–329.
Svendsen, I. A. (2005). Introduction to nearshore hydrodynamics, World Scientific, Singapore.
Svendsen, I. A., Haas, K. A., and Zhao, Q. (2002). “Quasi-3D nearshore circulation model SHORECIRC, version 2.0.” Res. Rep. CACR-02-01, Center for Applied Coastal Research, Univ. of Delaware, Newark, DE.
Svendsen, I. A., and Hansen, J. B. (1988). “Cross-shore currents in surf-zone modelling.” Coastal Eng., 12(1), 23–42.
Svendsen, I. A., Schaffer, H. A., and Hansen, J. B. (1987). “The interaction between the undertow and the boundary layer flow on a beach.” J. Geophys. Res., 92(C11), 11845–11856.
Thornton, E. B., and Guza, R. T. (1983). “Transformation of wave height distribution.” J. Geophys. Res., 88(C10), 5925–5938.
Willmott, C. J. (1981). “On the validation of models.” Phys. Geogr., 2(2), 184–194.
Wright, L. D., Guza, R. T., and Short, A. D. (1982). “Dynamics of a high energy dissipative surf zone.” Mar. Geol., 45(1-2), 41–62.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137 • Issue 6 • November 2011
Pages: 310 - 323
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Sep 1, 2010
Accepted: Apr 1, 2011
Published online: Apr 4, 2011
Published in print: Nov 1, 2011
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