Irregular wave Refraction Due to Current
Publication: Journal of Hydraulic Engineering
Volume 109, Issue 9
Abstract
The phenomenon of wave refraction due to current is an important factor in the longshore current generation and the wave transformation in the vicinities of narrow strait and river mouth. The existing numerical models of wave refraction due to current are all for regular waves. A numerical model is proposed for the computation of the change of the directional spectral density of irregular waves due to current‐depth refraction. The wave action equation is applied as the basic equation, in which the wave direction is introduced as the fourth independent variable. Several sample computations show that this model can explain the change of the directional spectra due to current. It is found that the significant wave height changes more rapidly than that of the corresponding regular waves having the same wave height, period and direction as those of the irregular waves. The change of a mean wave direction of the irregular waves is different from that of the corresponding regular waves.
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References
1.
Bretherton, F. P., and Garrett, C. J. R., “Wavetrains in Inhomogeneous Moving Media,” Proceedings of the Royal Society, A 302, 1969, pp. 529–554.
2.
Iwagaki, Y., Sakai, T., Tsuda, T., and Oka, Y., “Wave Refraction and Wave Height Variation due to Current,” Bulletin of Disaster Prevention Research Institute, Kyoto University, Japan, Vol. 27, 1977, p. 81.
3.
James, E. C., Collins, J. I., Wagner, P. A., and Tayfun, M. A., “Ocean Wave Spectrum Modifications by Spatially Varying Currents and Bottom Topography,” Tetra Tech Report, TC‐493‐1, 1977.
4.
Karlsson, T., “Refraction of Continuous Ocean Wave Spectra,” Journal of the Waterways and Harbors Division, ASCE, Vol. 95, No. WW4, 1969, pp. 437–448.
5.
Longuet‐Higgins, M. S., and Stewart, R. W., “The Changes in Amplitude of Short Gravity Waves on Steady Non‐Uniform Current,” Journal of Fluid Mechanics, Vol. 10, 1961, pp. 529–549.
6.
Mitsuyasu, H., et al., “Observation of the Directional Spectrum of Ocean Waves Using A Cloverleaf Buoy,” Journal of Physical Oceanography, Vol. 5, No. 4, 1975, pp. 750–760.
7.
Nagai, K., Horiguchi, T., and Takai, T., “Computation of Propagation of Deep‐Water Waves Having Directional Spectra in Shallow Water,” Proceedings of the 21st Japanese Conference on Coastal Engineering, Japanese Society of Civil Engineers, 1974, pp. 249–253 (in Japanese).
8.
Noda, E. K., Sonu, C. J., Rupert, V. C., and Collins, J. I., “Nearshore Circulations under Sea Breeze Conditions and Wave‐Current Interactions in the Surf Zone,” Tetra Tech Report, TC‐P‐72‐149‐4, 1974.
9.
Peregrine, D. H., “Interaction of Water Waves and Currents,” Advances in Applied Mechanics, Vol. 16, C.‐S. Yih, ed., Academic Press, New York, N.Y., 1976.
10.
Phillips, O. M., The Dynamics of The Upper Ocean, 2nd ed., Cambridge University Press, London, England, 1977.
11.
Sakai, T., Iwagaki, Y., and Sugimoto, S., “Improvement of Numerical Model of Wave Refraction due to Current,” Abstract of the 33rd Annual Meeting of Japanese Society of Civil Engineers, Vol. 2, Japanese Society of Civil Engineers, 1978, pp. 772–773 (in Japanese).
12.
Skovgaard, O., and Jonsson, I. G., “Current Depth Refraction Using Finite Elements,” Proceedings of the 15th Conference on Coastal Engineering, ASCE, 1976, pp. 721–737.
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Copyright © 1983 ASCE.
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Published online: Sep 1, 1983
Published in print: Sep 1983
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