Stem Waves along Breakwater
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 115, Issue 5
Abstract
Based on Boussinesq equations and parabolic approximation, the forward diffraction of cnoidal waves by a straight breakwater is studied numerically. The formation of stem waves along the breakwater and the relation between the stem waves and the incident wave characteristics are discussed. A numerical scheme for computing uniform cnoidal waves also is presented.
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References
1.
Berger, V., and Kohlhase, S. (1976). “Mach‐reflection as a diffraction problem.” Proc. 25th Conf. Coastal Engrg., ASCE, 1, 796–814.
2.
Cayley, A. (1895). An elementary treatise on elliptic functions. Deighton Bell, London, England; reprinted by Dover Publications, Inc., New York, N.Y.
3.
Flick, R. E., Guza, R. T., and Inman, D. L. (1981). “Elevation and velocity measurements of laboratory shoaling waves.” J. Geophys. Res., 86, 4149–4160.
4.
Kirby, J. T. (1986). “Open boundary condition in parabolic equation method.” J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 112(3), 460–465.
5.
Kirby, J. T., and Dalrymple, R. A. (1983). “A parabolic equation for the combined refraction‐diffraction of Stokes waves by mildly varying topography.” J. Fluid Mech., Vol. 136, pp. 453–466.
6.
Liu, P. L.‐F., Yoon, S. B., and Kirby, J. T. (1985). “Nonlinear refraction‐diffraction of waves in shallow water.” J. Fluid Mech., 153, 184–201.
7.
Liu, P. L.‐F., and Yoon, S. B. (1986). “Stem waves along a depth discontinuity.” J. Geophys. Res., 91(C3), 3979–3982.
8.
Melville, W. K. (1980). “On the Mach reflection of solitary waves.” J. Fluid Mech., 98, 285–297.
9.
Nielsen, A. H. (1962). “Diffraction of periodic waves along a vertical breakwater for small angles of incidence.” IER Technical Report HEL 1‐2, Univ. of California at Berkeley, Berkeley, Calif.
10.
Peregrine, D. H. (1972). “Equations for water waves and the approximation behind them.” Waves on Beaches, R. E. Meyer, ed. Academic Press, Inc., 95–121.
11.
Perroud, P. H. (1957). “The solitary wave reflection along a straight vertical wall at oblique incidence.” Thesis presented to the University of California at Berkeley, Berkeley, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Yue, D. K. P., and Mei, C. C. (1980). “Forward diffraction of Stokes waves by a thin wedge.” J. Fluid Mech., 99, 33–52.
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Copyright © 1989 ASCE.
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Published online: Sep 1, 1989
Published in print: Sep 1989
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