Technical Papers
Aug 2, 2013

Numerical Study of Sandbar Migration under Wave-Undertow Interaction

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 140, Issue 2

Abstract

Reliable simulation of onshore-offshore sandbar migration under various wave and current conditions has remained a challenging task over the last three decades because wave-undertow interaction in the surf zone has been neglected in the existing numerical models. This paper presents the development of an improved sandbar migration model using a phase- and depth-resolving modeling approach. This new model includes interactions between waves and undertow and an empirical time-dependent turbulent eddy viscosity formulation that accounts for the phase dependency of turbulence on flow velocity and acceleration. The authors demonstrate through extensive model-data comparisons that these enhancements resulted in significant improvements in the predictive capability of the cross-shore sandbar migration beneath moderate and energetic waves. The comparison showed wave-undertow interaction playing a crucial role in cross-shore sediment transport. Waves increased the undertow-induced suspended-load flux during offshore sandbar migration, and a weak undertow suppressed the wave-induced onshore bed-load transport during onshore sandbar migration. The proposed empirical time-dependent turbulent eddy viscosity significantly improved the prediction of onshore-directed bed-load transport during onshore sandbar migration.

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Acknowledgments

The authors gratefully acknowledge the O. H. Hinsdale Wave Research Laboratory at Oregon State University and Gregory Guannel for publishing the CROSSTEX experimental data, which were used for numerical model validation in this study. This work was supported by the National Natural Science Foundation of China (Grant No. 51209082, 51379071), the National Key Basic Research Development Program “973 Project” of China (Grant No. 2010CB429002), the National Key Technology Research and Development Program (Grant No. 2012BAB03B01), the 111 Project (Grant No. B12032), and the Qin Lan Project and 333 Project of Jiangsu Province (Grant No. BRA2012130). Zeki Demirbilek and Lihwa Lin are grateful for the technical support received in this activity from the U.S. Army Corps of Engineers Coastal Inlets Research Program (CIRP). The USACE Headquarters granted permission to publish this paper.

References

Aagaard, T., and Hughes, M. G. (2010). “Breaker turbulence and sediment suspension in the surf zone.” Marine Geol., 271(3–4), 250–259.
Battjes, J. A. (1975). “Modelling of turbulence in the surf zone.” Proc., Symp. on Modeling Techniques, ASCE, Reston, VA, 1050–1061.
Deigaard, R. (1993). “A note on the three-dimensional shear stress distribution in a surf zone.” Coast. Eng., 20(1–2), 157–171.
Elfrink, B., Hanes, D. M., and Ruessink, B. G. (2006). “Parameterization and simulation of near bed orbital velocities under irregular waves in shallow water.” Coast. Eng., 53(11), 915–927.
Foster, D. L., Beach, R. A., and Holman, R. A. (2006). “Turbulence observations of the nearshore wave bottom boundary layer.” J. Geophys. Res., 111(C4).
Gallagher, E. L., Elgar, S., and Guza, R. T. (1998). “Observations of sandbar evolution on a natural beach.” J. Geophys. Res., 103(C2), 3203–3215.
Grasso, F., Michallet, H., and Barthélemy, E. (2011). “Sediment transport associated with morphological beach changes forced by irregular asymmetric, skewed waves.” J. Geophys. Res., 116(C3).
Guannel, G. (2009). “Observations of cross-shore sediment transport and formulation of the undertow.” Ph.D. thesis, Oregon State Univ., Corvallis, OR.
Haller, M. C., and Catalán, P. A. (2009). “Remote sensing of wave roller lengths in the laboratory.” J. Geophys. Res., 114(C7).
Hendersen, S. M., Allen, J. S., and Newberger, P. A. (2004). “Nearshore sandbar migration predicted by an eddy-diffusive boundary layer model.” J. Geophys. Res., 109(C6).
Hoefel, F., and Elgar, S. (2003). “Wave-induced sediment transport and sandbar migration.” Science, 299(5614), 1885–1887.
Hsu, T. J., Elgar, S., and Guza, R. T. (2006). “Wave-induced sediment transport and onshore sandbar migration.” Coast. Eng., 53(10), 817–824.
Janssen, T. T., and Battjes, J. A. (2007). “A note on wave energy dissipation over steep beaches.” Coast. Eng., 54(9), 711–716.
Kuriyama, Y. (2010). “A one-dimensional parametric model for undertow and longshore current velocities on barred beaches.” Coast. Eng. J., 52(02), 133–155.
Nielsen, P., and Callaghan, D. P. (2003). “Shear stress and sediment transport calculations for sheet flow under waves.” Coast. Eng., 47(3), 347–354.
Plant, N. G., Holman, R. A., Freilich, M. H., and Birkemeier, W. A. (1999). “A simple model for interannual sandbar behavior.” J. Geophys. Res., 104(C7), 15755–15776.
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.” Coast. Eng., 51(3), 237–260.
Ribberink, J. S. (1998). “Bed-load transport for steady flows and unsteady oscillatory flows.” Coast. Eng., 34(1–2), 59–82.
Richardson, J. F., and Zaki, W. N. (1954). “Sedimentation and fluidization. I.” Trans. of ICE, 32, 35–53.
Ruessink, B. G., et al. (2011). “Observations of velocities, sand concentrations, and fluxes under velocity-asymmetric oscillatory flows.” J. Geophys. Res., 116(C3).
Ruessink, B. G., Kuriyama, Y., Reniers, A. J. H. M., Roelvink, J. A., and Walstra, D. J. R. (2007). “Modeling cross-shore sandbar behavior on the timescale of weeks.” J. Geophys. Res., 112(F3).
Scott, N. V., Hsu, T. J., and Cox, D. (2009). “Steep wave, turbulence, and sediment concentration statistics beneath a breaking wave field and their implications for sediment transport.” Cont. Shelf Res., 29(20), 2303–2317.
Spielmann, K., Astruc, D., and Thual, O. (2004). “Analysis of some key parametrizations in a beach profile morphodynamical model.” Coast. Eng., 51(10), 1021–1049.
Stive, M. J. F., and De Vriend, H. J. (1994). “Shear stresses and mean flow in shoaling and breaking waves.” Proc., 24th Int. Conf. on Coastal Engineering, ASCE, Reston, VA, 594–608.
Thomas, L. H. (1949). “Elliptic problems in linear differential equations over a network.” Watson Scientific Computing Laboratory Rep., Columbia Univ., New York.
Trowbridge, J. H., and Madsen, O. S. (1984). “Turbulent wave boundary layers. 1: Model formulation and first-order solutions.” J. Geophys. Res., 89(C5), 7989–7997.
van Rijn, L. C. (1993). Principles of sediment transport in rivers, estuaries, and coastal seas, Aqua, Blokzijl, Netherlands.
van Rijn, L. C. (2007). “Unified view of sediment transport by currents and waves. II: Suspended transport.” J. Hydraul. Eng., 668–689.
van Rijn, L. C., Walstra, D. J. R., Grasmeijer, B., Sutherland, J., Pan, S., and Sierra, J. P. (2003). “The predictability of cross-shore bed evolution of sandy beaches at the time scale of storms and seasons using process-based profile models.” Coast. Eng., 47(3), 295–327.
Zhang, C., Zheng, J. H., Wang, Y. G., and Demirbilek, Z. (2011). “Modeling wave-current bottom boundary layers beneath shoaling and breaking waves.” Geo-Mar. Lett., 31(3), 189–201.
Zyserman, J. A., and Fredsøe, J. (1994). “Data-analysis of bed concentration of suspended sediment.” J. Hydraul. Eng., 1021–1042.

Information & Authors

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Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 140Issue 2March 2014
Pages: 146 - 159

History

Received: Dec 1, 2012
Accepted: Jul 31, 2013
Published online: Aug 2, 2013
Published in print: Mar 1, 2014

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Authors

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Jinhai Zheng [email protected]
Professor, State Key Laboratory of Hydrology–Water Resources and Hydraulic Engineering, Hohai Univ., Nanjing, 210098, China (corresponding author). E-mail: [email protected]
Chi Zhang
Associate Professor, State Key Laboratory of Hydrology–Water Resources and Hydraulic Engineering, Hohai Univ., Nanjing, 210098, China.
Zeki Demirbilek, F.ASCE
Research Hydraulic Engineer, U.S. Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, 3909 Halls Ferry Road, Vicksburg, MS 39180.
Lihwa Lin, M.ASCE
Research Hydraulic Engineer, U.S. Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, 3909 Halls Ferry Road, Vicksburg, MS 39180.

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