Abstract
The process of wave refraction in nearshore zones can result in an asymmetric directional distribution of spectral energy when oblique, multi-directional wave fields propagate into shallow water areas. Here the effect of this directional asymmetry on the net wave-induced radiation stresses is analyzed. The net radiation stresses are calculated for a shoaled JONSWAP frequency spectrum with both symmetric and asymmetric directional distributions and then compared with those calculated from the commonly-used monochromatic formulation (appropriate for spectra that are narrow-banded in frequency and directions). Past studies have demonstrated that the use of the monochromatic approximation in radiation stress calculations results in a significant overestimation of the radiation stress components and in broad-banded seas. The present results show that the inclusion of directional asymmetry in radiation stress calculations reduces this overestimation for but increases the overestimation for for a range of dominant wave directions. Thus, directional asymmetry is an additional factor that contributes to overestimation when the monochromatic approximation is used for and can therefore also lead to an overestimation of associated parameters such as alongshore current velocities and alongshore sediment transport rates.
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References
Barbaro, G., Foti, G., Sicilia, L., and Malara, G. (2014). “A formula for the calculation of the longshore sediment transport including spectral effects.” J. Coast. Res., 30(5), 961–966.
Battjes, J. A. (1972). “Radiation stress in short-crested waves.” J. Mar. Res., 30(1), 56–64.
Feddersen, F. (2004). “Effect of wave directional spread on radiation stress: Comparing theory and observations.” Coast. Eng., 51(5-6), 473–481.
Feddersen, F., Guza, R. T., Elgar, S., and Herbers, T. H. C. (1998). “Alongshore momentum balances in the nearshore.” J. Geophys. Res., 103(C8), 15667–15676.
Freilich, M. H., and Pawka, S. S. (1987). “Statistics of estimates.” J. Phys. Oceanogr., 17(10), 1786–1797.
Goda, Y., and Suzuki, Y. (1975). “Computation of refraction and diffraction of sea waves with Mitsuyasu’s directional spectrum.” Rep. No. 230, The Port and Harbour Research Institute, Japan (in Japanese).
Guza, R. T., Thorton, E. B., and Christensen, N., Jr. (1986). “Observations of steady longshore currents in the surf zone.” J. Phys. Oceanogr., 16(11), 1959–1969.
Hasselmann, K., et al. (1973). “Measurements of wind-wave growth and swell decay during the joint north sea wave project (JONSWAP).” Deutches Hydrographisches Zeitschrift, 8(12), 1–95.
Komar, P. D. (1998). Beach processes and sedimentation, 2nd Ed., Prentice-Hall, Upper Saddle River, NJ, 9.
Lee, C., Jung, J. S., and Haller, M. C. (2010). “Asymmetry in directional spreading function of random waves due to refraction.” J. Waterway, Port, Coastal, Ocean Eng., 1–9.
Longuet-Higgins, M. S. (1970a). “Longshore currents generated by obliquely incident sea waves, 1.” J. Geophys. Res., 75(33), 6778–6789.
Longuet-Higgins, M. S. (1970b). “Longshore currents generated by obliquely incident sea waves, 2.” J. Geophys. Res., 75(33), 6791–6801.
Longuet-Higgins, M. S., Cartwright, D. E., and Smith, N. D. (1961). “Observations of the directional spectrum of sea waves using the motion of a floating buoy.” Proc., Conf. on Ocean Wave Spectra, Prentice-Hall, Englewood Cliffs, NJ, 111–136.
Longuet-Higgins, M. S., and Stewart, R. W. (1964). “Radiation stresses in water waves; A physical discussion with applications.” Deep-Sea Res., 11(4), 529–562.
Puleo, J. (2010). “Estimating alongshore sediment transport and the nodal point location on the Delaware-Maryland Coast.” J. Waterway, Port, Coastal, Ocean Eng., 135–144.
Ruessink, B. G., Miles, J. R., Feddersen, F., Guza, R. T., and Elgar, S. (2001). “Modeling the alongshore current on barred beaches.” J. Geophys. Res., 106(C10), 22451–22463.
Svendsen, I. A. (2006). Introduction to nearshore hydrodynamics, World Scientific Publishing Co. Pte. Ltd., Singapore, 11–12.
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© 2015 American Society of Civil Engineers.
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Received: Oct 2, 2014
Accepted: Feb 6, 2015
Published online: Jun 10, 2015
Published in print: Nov 1, 2015
Discussion open until: Nov 10, 2015
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