Wave Propagation in Jettied Entrance Channels. I: Models
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 117, Issue 5
Abstract
A model for the propagation of sea and swell waves in a channel bounded by rubble‐mound jetties is presented. The model combines elements of earlier work on waves normally incident on a breakwater with a modified diffraction model based on the linear mild‐slope equation. For grazing‐angle (relative to the jetty axis) wave incidence, a parabolic approximation to the governing equation is used to obtain numerical solutions for monochromatic long waves propagating down the channel. An initially plane wave evolves into a spatially complex pattern as dissipation occurs along the jetties and energy is drawn from the channel interior by diffraction. Comparisons of the model to field observations are presented in a companion paper.
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References
1.
Battjes, J. A. (1965), “Wave attenuation in a channel with roughened sides.” Coastal Engrg. Specialty Conf., ASCE, New York, N.Y., 425–460.
2.
Behrendt, L. (1985). “A finite element model for water wave diffraction including boundary absorption and bottom friction.” Series Paper No. 37, Inst. of Hydrodynamics and Hydr. Engrg., Technical University of Denmark.
3.
Berkhoff, J. C. W. (1972). “Computation of combined refraction‐diffraction.” Proc., 13th Coastal Engrg. Conf., ASCE, New York, N.Y., 471–490.
4.
Booij, N. (1981). “Gravity waves on water with non‐uniform depth and current,” thesis presented to the University of Delft, at Delft, The Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Chen, H. S. (1986). “Effects of bottom friction and boundary absorption on water wave scattering.” Appl. Ocean Res., 8(2), 99–104.
6.
Dalrymple, R. A. (1989). “Directional wavemaker theory with sidewall reflection.” J. Hydr. Res., 27(1), 23–34.
7.
Dalrymple, R. A., and Kirby, J. T. (1988). “Models for very wide‐angle water waves and wave diffraction.” J. Fluid Mech., 192, 33–50.
8.
Dalrymple, R. A., Kirby, J. T., and Hwang, P. A. (1984a). “Wave diffraction due to areas of energy dissipation.” J. Wtrwy. Port, Coast. and Oc. Engrg., ASCE, 110(1), 67–79.
9.
Dalrymple, R. A., Hwang, P. A., and Liu, P. L.‐F. (1984b). “Water waves and circular damping regions.” J. Wtrwy., Port, Coast. and Oc. Engrg., ASCE, 110(2), 273–276.
10.
Dalrymple, R. A., Kirby, J. T., and Seli, D. J. (1986). “Wave trapping by breakwaters.” Proc., 20th Coastal Engrg. Conf., ASCE, New York, N.Y., 1820–1830.
11.
Galvin, C. J., Jr. (1972). “Waves breaking in shallow water.” Waves in beaches, R. E. Meyer, ed., Academic Press, New York, N.Y., 413–456.
12.
Isaacson, M. S. Q. (1978). “Wave dampening due to rubblemound breakwaters.” J. Wtrwy. Harb., and Coast. Engrg. Div., ASCE, 104(4), 391–405.
13.
Kamphuis, J. W. (1975). “Friction factor under oscillatory waves.” J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 101(2), 135–143.
14.
Kirby, J. T. (1986). “Higher‐order approximations in the parabolic equation method for water waves.” J. Geophysical Res., 91(C1), 933–952.
15.
Kirby, J. T., and Dalrymple, R. A. (1986). “Modeling waves in surfzones and around islands.” J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 112(1), 78–93.
16.
Kostense, J. K., Meijer, K. L., Dingemans, M. W., Mynett, A. E., and Bosch, P. V. D. (1986). “Wave energy dissipation in arbitrarily shaped harbours of variable depth.” Proc., 20th Coastal Engrg. Conf., 2002–2016.
17.
Lamb, H. (1945). Hydrodynamics, 6th Ed., Dover Publications, Inc., New York, N.Y.
18.
Liu, P. L.‐F., Yoon, S. B., and Dalrymple, R. A. (1986). “Wave reflection from energy dissipation region.” J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 112(6), 632–644.
19.
Madsen, O. S. (1974). “Wave transmission through porous structures.” J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 100(3), 169–188.
20.
Madsen, O. S., and White, S. M. (1976a). “Reflection and transmission characteristics of porous rubble‐mound breakwaters.” Miscellaneous Report No. 76‐5, U.S. Army Coastal Engrg. Res. Ctr.
21.
Madsen, O. S., and White, S. M. (1976b). “Energy dissipation on a rough slope.” J. Wtrwy., Harb., and Coast. Engrg. Div., ASCE, 102(1), 31–48.
22.
Madsen, O. S., and White, S. M. (1976c). “Wave transmission through trapezoidal breakwaters.” Proc., 15th Coastal Engrg. Conf., ASCE, New York, N.Y., 2662–2676.
23.
Madsen, O. S., Shusang, P., and Hanson, S. A. (1978). “Wave transmission through trapezoidal breakwaters.” Proc., 16th Coastal Engrg. Conf., ASCE, New York, N.Y., 2140–2152.
24.
Madsen, P. A. (1983). “Wave reflection from a vertical permeable wave absorber.” Coastal Engrg., 7, 381–396.
25.
Melo, E., and Guza, R. T. (1990). “Wave propagation in a jettied entrance channel.” SIO Reference Series 90‐1, Scripps Institution of Oceanography, La Jolla, Calif.
26.
Melo, E., and Guza, R. T. (1991). “Wave propagation in jettied entrance channels. II: Observations.” J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 117(5), 493–509.
27.
Penney, W. G., and Price, A. T. (1952). “Part I. The diffraction theory of sea waves and the shelter afforded by breakwaters.” Phil. Trans. Roy. Soc. A244, Royal Society of London, London, England, (882), 236–253.
28.
Radder, A. C. (1979). “On the parabolic equation method for water‐wave propagation.” J. Fluid Mech., 95(part 1), 159–176.
29.
Smith, R., and Sprinks, T. (1975). “Scattering of surface waves by a conical island.” J. Fluid Mech., 72(part 2), 373–384.
30.
Shore protection manual. (1984). U.S. Army Coastal Engrg. Res. Ctr., Vicksburg, Miss.
31.
Sollitt, C. K., and Cross, R. H., III. (1972). “Wave transmission through permeable breakwaters.” Proc., 13th Coastal Engrg. Conf., ASCE, New York, N.Y., 1827–1846.
32.
Sollitt, C. K., and Cross, R. H., III. (1976). “Wave reflection and transmission at permeable breakwaters.” Tech. Paper No. 76‐8, U.S. Army Coastal Engrg. Res. Ctr., Ft. Belvoir, Va.
33.
Sulisz, W. (1985). “Wave reflection and transmission at permeable breakwaters of arbitrary cross‐section.” Coastal Engrg., 9, 371–386.
34.
Tsay, T.‐K., Zhu, W., and Liu, P. L.‐F. (1989). “A finite element model for wave refraction, diffraction, reflection and dissipation,” Appl. Ocean Res., 11(1), 23–38.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 117 • Issue 5 • September 1991
Pages: 471 - 492
Copyright
Copyright © 1991 ASCE.
History
Published online: Sep 1, 1991
Published in print: Sep 1991
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