SHORT WAVE BREAKING EFFECTS ON LOW FREQUENCY WAVES
Proceedings of the 32nd International Conference
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Keywords

wave breaking
low frequency waves
fraction of breaking waves
wave setup
wave groupiness

How to Cite

Daly, C., Roelvink, D., van Dongeren, A., van Thiel de Vries, J., & McCall, R. (2011). SHORT WAVE BREAKING EFFECTS ON LOW FREQUENCY WAVES. Coastal Engineering Proceedings, 1(32), waves.20. https://doi.org/10.9753/icce.v32.waves.20

Abstract

The effect of short wave breaking on low frequency waves is investigated using two breaker formulations implemented in a time-dependent numerical model (XBeach): (1) an advective-deterministic approach (ADA) and (2) the probabilistic breaker formulation of Roelvink (1993). Previous research has shown that the ADA breaker model gives different results for the cross-shore pattern of the fraction of breaking waves, which is now shown to affect not only the short wave height but also the short wave groupiness. While RMS short wave heights are comparable to measurements using both breaker models, the ADA breaker model allows higher levels of short wave groupiness into the surf zone. It is shown that this acts as an additional forcing mechanism for low frequency waves in the shoaling and nearshore zone, which, in addition to greater levels of breaking, leads to higher values of wave set-up. These findings are dependent on the complexity of the local bathymetry. For a plane slope, the differences in the low frequency wave heights and set-up predicted by both breaker models are negligible. Where arbitrary breakpoints are present in the field of wave propagation, such as nearshore bars or reefs, the ADA model predicts higher localized set-up, indicative of greater flow over such features. Differences are even more pronounced when the incident wave regime is highly energetic.
https://doi.org/10.9753/icce.v32.waves.20
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References

Battjes, J.A., Bakkenes, H.J., Janssen, T.T., van Dongeren, A.R. 2004. Shoaling of sub-harmonic gravity waves, J. Geophysical Research, 109, C02009, doi:10.1029/ 2003JC001863.

Boers, M. 1996. Simulation of a surf zone with a barred beach; Report 1: Wave heights and wave breaking, Communication on Hydraulic and Geologic Engineering, Delft University of Technology, No. 96-05.

Dally, W.R. 1990. Random breaking waves: a closed-form solution for planar beaches, J. Coastal Engineering, 14, 233-263. http://dx.doi.org/10.1016/0378-3839(90)90026-S

Dally, W.R., R.G. Dean and R.A. Dalrymple. 1984. A model for breaker decay on beaches, Proceedings of 19th International Conference on Coastal Engineering, New York, ASCE, 82-98. Daly, C.J., J.A. Roelvink, A.R. van Dongeren, J.S.M. van Thiel de Vries, R.T. McCall. In Review. Evaluation of an advective-deterministic approach to wave breaking, J. Coastal Engineering.

Deigaard, R. 1993. A note on the three dimensional shear stress distribution in a surf zone, J. Coastal Engineering, 20, 157-171. http://dx.doi.org/10.1016/0378-3839(93)90059-H

List, J.H. 1992. Breakpoint-forced and bound long waves in the nearshore: A model comparison, Proceedings of 23rd International Conference on Coastal Engineering, Venice, ASCE, 860-873

Longuet-Higgins, M.S., and R.W. Stewart. 1962. Radiation stress and mass transport in gravity waves, with application to 'surf beats', J. Fluid Mechanics, 13, 481-504. http://dx.doi.org/10.1017/S0022112062000877

Munk, W.H. 1949. Surf beats, Trans. American Geophysical Union, 30, 849-54.

Raubenheimer, B. and R. T. Guza. 1996. Observations and predictions of run-up, J. Geophysical Resarch, 101(C11), 25, 575-587.

Roelvink, J.A. 1993. Dissipation in random wave groups incident on a beach, J. Coastal Engineering, 19, 127-150. http://dx.doi.org/10.1016/0378-3839(93)90021-Y

Roelvink, J.A., Reniers, A.J.H.M. 1995. LIP 11D delta flume experiments, Data Report H2130, Delft Hydraulics, Delft.

Roelvink, J.A., A.J. Reniers, A.R. van Dongeren, J.S.M. van Thiel de Vries, R. McCall and J. Lescinski. 2009. Modeling storm impacts on beaches, dunes and barrier islands, J. Coastal Engineering, doi:10.1016/ j.coastaleng.2009.08.006.

Schäffer, H.A. and I.A. Svendsen. 1988. Surf beat generation on a mild slope beach, Proceedings of 21st International Conference on Coastal Engineering, ASCE, 1058-1072.

Schäffer, H.A. 1993. Infragravity waves induced by short-wave groups, J. Fluid Mechanics, 247, 551-588. http://dx.doi.org/10.1017/S0022112093000564

Symonds, G., D.A. Huntley and A.J. Bowen. 1982. Two-dimensional surf beat: Long wave generation by a varying breakpoint, J. Geophysical Research, 80, 492-498. http://dx.doi.org/10.1029/JC087iC01p00492

van der Meer, J.W. 1990. Golfhoogtes van brekende golven op een flauw talud (Wave heights for breaking waves on a flat slope, in Dutch), Delft Hydraulics report no. H462-IV, Delft.

van Dongeren, A.R., J.A. Battjes, T.T. Janssen, J.C. van Noorloos, K. Steenhauer, G. Steenbergen and A. Reniers. 2007. Shoaling and shoreline dissipation of low-frequency waves, J. Geophysical Research, 112, C02011, doi:10.1029/2006 JC003701.

van Noorloos, J.C. 2003. Energy transfer between short wave groups and bound long waves on a plane slope, M.Sc. Thesis, Delft University of Technology.

van Thiel de Vries, J.S.M., J. van de Graaf, B. Raubenheimer, A.J. Reniers and M.J.F. Stive. 2006. Modelling inner surf hydrodynamics during storm surges, Proceedings of 30th International Conference on Coastal Engineering, San Diego, ASCE, 896-908.

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