Application of Angular Spectrum Model to Simulation of Irregular Wave Propagation
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119, Issue 5
Abstract
For the past several years, great advances have been made in the modeling of water‐wave propagation problems using the concept of angular spectrum. In a 1989 paper, Vincent and Briggs reported hydraulic model experiments for the transformation of monochromatic and directionally spread irregular waves passing over an elliptic shoal resting on a flat bottom, showing that the degree of wave focusing behind the shoal of directional irregular waves is quite different from that of monochromatic waves. In the present paper, the angular spectrum model developed for the transformation of directional irregular waves by Suh in 1989 is used to numerically simulate the experimental results of Vincent and Briggs for irregular waves. The comparison between experimental and computational results shows that the angular spectrum model is capable of simulating reasonably well the transformation of directional irregular waves on irregular bathymetry.
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References
1.
Berkhoff, J. C. W. (1972). “Computation of combined refraction‐diffraction.” Proc. 13th Int. Coast. Engrg. Conf., ASCE, 471–490.
2.
Berkhoff, J. C. W. (1982). “Refraction and diffraction of water waves.” Rep. W. 154‐VIII, Delft Hydraulics Lab., Delft, The Netherlands.
3.
Bouws, E., Günther, H., Rosenthal, W., and Vincent, C. L. (1985). “Similarity of the wind wave spectrum in finite depth water. 1. Spectral form.” J. Geophys. Res., 90(C1), 975–986.
4.
Dalrymple, R. A., and Kirby, J. T. (1988). “Models for very wide‐angle water waves and wave diffraction.” J. Fluid Mech., 192, 33–50.
5.
Dalrymple, R. A., Suh, K. D., Kirby, J. T., and Chae, J. W. (1989). “Models for very wide‐angle water waves and wave diffraction. Part 2. Irregular bathymetry.” J. Fluid Mech., 201, 299–322.
6.
Goda, Y. (1985). Random seas and design of maritime structures. University of Tokyo press. Tokyo, Japan.
7.
Kirby, J. T., and Dalrymple, R. A. (1986). “An approximate model for nonlinear dispersion in monochromatic wave propagation models.” Coast. Engrg., 9, 545–561.
8.
“List of sea‐state parameters.” (1989). J. Wtrway., Port, Coast. and Oc. Engrg., 115(6), 793–808.
9.
Longuet‐Higgins, M. S. (1957). “The statistical analysis of a random, moving surface.” Philosophical Transactions of the Royal Society of London, Series A (966), London, England, 249, 321–387.
10.
O'Reilly, W. C., and Guza, R. T. (1991). “Comparison of spectral refraction and refraction‐diffraction wave models.” J. Wtrway., Port, Coast. and Oc. Engrg., 117(3), 199–215.
11.
Otnes, R. K., and Enochson, L. (1978). Applied time series analysis, Vol. 1, Basic techniques. John Wiley and Sons, New York, N.Y.
12.
Panchang, V. G., Wei, G., Pearce, B. R., and Briggs, M. J. (1990). “Numerical simulation of irregular wave propagation over shoal.” J. Wtrway., Port, Coast. and Oc. Engrg., 116(3), 324–340.
13.
Panicker, N. N., and Borgman, L. E. (1970). “Directional spectra from wave‐gage array.” Proc. 12th Int. Coast. Engrg. Conf., ASCE, 117–136.
14.
Stamnes, J. J., Løvhaugen, O., Spjelkavik, B., Mei, C. C., Lo, E., and Yue, D. K. P. (1983). “Nonlinear focusing of surface waves by a lens—theory and experiment.” J. Fluid Mech., 135, 71–94.
15.
Suh, K. D. (1989). “Angular spectrum models for propagation of weakly nonlinear surface gravity waves in water of varying depth,” PhD dissertation, University of Delaware, Newark, Del.
16.
Suh, K. D., Dalrymple, R. A., and Kirby, J. T. (1990). “An angular spectrum model for propagation of Stokes waves.” J. Fluid Mech., 221, 205–232.
17.
Vincent, C. L., and Briggs, M. J. (1989). “Refraction‐diffraction of irregular waves over a mound.” J. Wtrway., Port, Coast., and Oc. Engrg., 115(2), 269–284.
18.
Yang, C. Y. (1986). Random vibration of structures. John Wiley and Sons, New York, N.Y.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119 • Issue 5 • September 1993
Pages: 505 - 520
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Apr 28, 1992
Published online: Sep 1, 1993
Published in print: Sep 1993
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