LOW FREQUENCY WAVE RESONANCE IN FRINGING REEF ENVIRONMENTS
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Keywords

low-frequency waves
coral reefs
fringing reefs
resonance

How to Cite

Pomeroy, A. W. M., Van Dongeren, A., Lowe, R., van Thiel de Vries, J., & Roelvink, J. (2012). LOW FREQUENCY WAVE RESONANCE IN FRINGING REEF ENVIRONMENTS. Coastal Engineering Proceedings, 1(33), currents.25. https://doi.org/10.9753/icce.v33.currents.25

Abstract

Low frequency wave resonance has been postulated to enhance damage to coral reef protected coastlines during storm events. This paper uses the numerical model XBeach to examine the dynamics that contribute to resonance that have been previously observed on a fringing reef on Guam during tropical storm Man-Yi (Péquignet et al., 2009). The methods to identify resonance in numerical (or field data) are comprehensively reviewed with three indicators of resonance proposed based upon data obtained at two locations in the model domain: 1. The water surface elevation must be highly coherent, 2. The phase difference must (closely) correspond to 0° or 180°, and 3. Amplification of the signal must be observed between the reef crest and the shoreline. XBeach simulations demonstrated that resonance could be reproduced under 'normal' wave conditions, but only when bottom friction was minimal and hence values that were atypically low for coral reefs. However, under tropical storm Man-Yi conditions, resonance was reproduced with reasonable bottom friction values. A sensitivity analysis demonstrated that, although the frequency associated with resonance was not affected by the choice of bottom friction coefficients, the magnitude of the amplification was significantly affected. Ongoing research is being undertaken to investigate the resonant response for a wider variety of reef morphologies and incident wave forcing conditions.
https://doi.org/10.9753/icce.v33.currents.25
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References

Bendat, J. S., and A. G. Piersol (1993), Engineering applications of correlation and spectral analysis, J. Wiley.

Brander, R. W., P. S. Kench, and D. Hart (2004), Spatial and temporal variations in wave characteristics across a reef platform, Warraber Island, Torres Strait, Australia, Marine Geology, 207, 169-184.http://dx.doi.org/10.1016/j.margeo.2004.03.014">http://dx.doi.org/10.1016/j.margeo.2004.03.014

Emery, W. J., and R. E. Thomson (2001), Data analysis methods in physical oceanography, Elsevier Science.

Guza, R. T., and E. B. Thornton (1985), Observations of Surf Beat, Journal of Geophysical Research, 90(C2), 3161-3172.http://dx.doi.org/10.1029/JC090iC02p03161">http://dx.doi.org/10.1029/JC090iC02p03161

Hardy, T. A., and I. R. Young (1996), Field study of wave attenuation on an offshore coral reef, J. Geophys. Res., 101, 14311-14326.http://dx.doi.org/10.1029/96JC00202">http://dx.doi.org/10.1029/96JC00202

Harkins, G. S., and M. J. Briggs (1995), Resonant forcing of harbors by infragravity waves, paper presented at Proceedings of the 24th International Conference on Coastal Engineering. Part 1 (of 3), October 23, 1994 - October 28, 1994, ASCE, Kobe, Jpn.

Jonsson, I. (1966), Wave boundary layers and friction factors, paper presented at International Conference on Coastal Engineering, ASCE, Tokyo, Japan.

Karunarathna, H., A. Chadwick, and J. Lawrence (2005), Numerical experiments of swash oscillations on steep and gentle beaches, Coastal Eng, 52(Compendex), 497-511.

Kirby, J. T., H. T. Özkan-Haller, and M. C. Haller (2006), Seiching in a large wave flume, paper presented at Coastal Engineering, World Scientific, San Diego, California.

Lowe, R. J., J. R. Koseff, and S. G. Monismith (2005a), Oscillatory flow through submerged canopies: 2. Canopy mass transfer, J. Geophys., 110, 1-14.

Lowe, R. J., J. Koseff, and S. G. Monismith (2005b), Oscillatory flow through submerged canopies: 1. Velocity structure, J. Geophys. Res, 110, 1-17.

Lowe, R. J., J. L. Falter, M. D. Bandet, G. Pawlak, M. J. Atkinson, S. G. Monismith, and J. R. Koseff (2005c), Spectral wave dissipation over a barrier reef, J. Geophys. Res., 110, C04001.http://dx.doi.org/10.1029/2004JC002711">http://dx.doi.org/10.1029/2004JC002711

Lugo-Fernández, A., H. H. Roberts, W. J. Wiseman Jr, and B. L. Carter (1998), Water level and currents of tidal and infragravity periods at Tague Reef, St. Croix (USVI), Coral Reefs, 17, 343-349.http://dx.doi.org/10.1007/s003380050137">http://dx.doi.org/10.1007/s003380050137

Miles, J. W. (1974), Harbor Seiching, Ann. Rev. Fluid. Mech., 6, 17-33.http://dx.doi.org/10.1146/annurev.fl.06.010174.000313">http://dx.doi.org/10.1146/annurev.fl.06.010174.000313

Monismith, S. G. (2007), Hydrodynamics of Coral Reefs, Ann. Rev. Fluid. Mech., 39, 35-55.http://dx.doi.org/10.1146/annurev.fluid.38.050304.092125">http://dx.doi.org/10.1146/annurev.fluid.38.050304.092125

Naess, A. (2007), An introduction to random vibrations, edited, Norwegian University of Science and Technology, Trondheim.

Nakaza, E., and M. Hino (1991), Bore-like surf beat in a reef zone caused by wave groups of incident short period waves, Fluid Dyn Res, 7, 89-100.http://dx.doi.org/10.1016/0169-5983(91)90062-N">http://dx.doi.org/10.1016/0169-5983(91)90062-N

Nwogu, O., and Z. Demirbilek (2010), Infragravity Wave Motions and Runup over Shallow Fringing Reefs, J Waterw Port C-ASCE, 136, 295-305.http://dx.doi.org/10.1061/(ASCE)WW.1943-5460.0000050">http://dx.doi.org/10.1061/(ASCE)WW.1943-5460.0000050

Okihiro, M., R. T. Guza, and R. J. Seymour (1993), Excitation of Seiche Observed in a Small Harbor, J. Geophys. Res., 98, 18201-18211.http://dx.doi.org/10.1029/93JC01760">http://dx.doi.org/10.1029/93JC01760

Özkan-Haller, H. T., C. Vidal, I. J. Losada, R. Medina, and M. A. Losada (2001), Standing edge waves on a pocket beach, J. Geophys. Res., 106, 16981-16996.http://dx.doi.org/10.1029/1999JC000193">http://dx.doi.org/10.1029/1999JC000193

Péquignet, A. C., J. M. Becker, M. A. Merrifield, and J. Aucan (2009), Forcing of resonant modes on a fringing reef during tropical storm Man-Yi, Geophys. Res. Lett., 36, L03607.http://dx.doi.org/10.1029/2008GL036259">http://dx.doi.org/10.1029/2008GL036259

Péquignet, A. C., J. Becker, M. Merrifield, and S. Boc (2011), The dissipation of wind wave energy across a fringing reef at Ipan, Guam, Coral Reefs, 1-12.

Pomeroy, A. W. M., R. J. Lowe, G. Symonds, A. Van Dongeren, and C. Moore (submitted), The dynamics of infragravity wave transformation over a fringing reef.

Roelvink, D., A. Reniers, A. van Dongeren, J. van Thiel de Vries, R. McCall, and J. Lescinski (2009), Modelling storm impacts on beaches, dunes and barrier islands, Coastal Eng, 56, 1133-1152.http://dx.doi.org/10.1016/j.coastaleng.2009.08.006">http://dx.doi.org/10.1016/j.coastaleng.2009.08.006

Rosman, J. H., and J. L. Hench (2011), A framework for understanding drag parameterizations for coral reefs, J. Geophys. Res., 116(C8), C08025.http://dx.doi.org/10.1029/2010JC006892">http://dx.doi.org/10.1029/2010JC006892

Suhayda, J. N. (1974), Standing Waves on Beaches, J. Geophys. Res., 79, 3065-3071.http://dx.doi.org/10.1029/JC079i021p03065">http://dx.doi.org/10.1029/JC079i021p03065

Van Dongeren, A., R. J. Lowe, A. W. M. Pomeroy, D. M. Trang, J. A. Roelvink, R. Ranasinghe, and G. Symonds (2012), Modelling infragravity waves and currents across a fringing reef, paper presented at International Coastal Engineering Conference, Santander, Spain.

Van Dongeren, A., R. J. Lowe, A. W. M. Pomeroy, D. M. Trang, J. A. Roelvink, G. Symonds, and R. Ranasinghe (submitted), Numerical modelling of low-frequency wave dynamics over a fringing coral reef.

Wilson, B. W. (1966), The Encyclopedia of Oceanography, edited by R. W. Fairbridge, pp. 804 - 817, Reinhold Pub. Co.

Wu, J.-K., and P. L.-F. Liu (1990), Harbour excitations by incident wave groups, J Fluid Mech, 217, 595-613.http://dx.doi.org/10.1017/S0022112090000866">http://dx.doi.org/10.1017/S0022112090000866

Young, I. R. (1989), Wave Transformation Over Coral Reefs, J. Geophys. Res., 94, 9779-9789.http://dx.doi.org/10.1029/JC094iC07p09779">http://dx.doi.org/10.1029/JC094iC07p09779

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