TECHNICAL NOTES
Jan 1, 1985

Wave Runup Formulas for Smooth Slopes

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 1

Abstract

A method of estimating wave runups on plane, smooth slopes is presented. The method uses empirical formulas to predict monochromatic wave runups for a wide range of surf conditions. Intuitive arguments are used to support the form of the equations. The analysis shows that wave nonlinearity has a strong influence on the runup of nonbreaking, monochromatic waves. Other factors being equal, the more nonlinear the wave the greater the runup. Comparisons show that the formulas given make good estimates of the observed wave runup elevations.

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References

1.
Ahrens, J. P., “Irregular Wave Runup on Smooth Slopes,” CETA 81‐17, U.S. Army Coastal Engineering Research Center, Fort Belvoir, Va., Dec., 1981.
2.
Battjes, J. A., “Surf Similarity,” Proceedings of the 14th Coastal Engineering Conference, Copenhagen, Denmark, June, 1974, pp. 466–480.
3.
Chue, S. H., “Wave Runup Formula of Universal Applicability,” Proceedings of the Institution of Civil Engineers, Part 2, Vol. 26, Dec., 1980, pp. 1035–1041.
4.
Dean, R. G., “Evaluation and Development of Water Wave Theories for Engineering Applications,” Vols. 1–2, Special Report No. 1, U.S. Army Coastal Engineering Research Center, Fort Belvoir, Va., Nov., 1974.
5.
Hunt, I. A., Jr., “Design of Seawalls and Breakwaters,” Journal of the Waterways and Harbors Division, ASCE, Vol. 85, No. WW3, Sept., 1959, pp. 123–152.
6.
LeMehaute, B., Koh, R. C. Y., and Hwang, L., “A Synthesis of Wave Runup,” Journal of the Waterways and Harbors Division, ASCE, Vol. 94, No. WW1, Feb., 1968, pp. 77–92.
7.
Savage, R. P., “Wave Runup on Roughened and Permeable Slopes,” Journal of the Waterways and Harbor Division, ASCE, Paper No. 1640, Vol. 84, No. WW3, May, 1958.
8.
Saville, T., Jr., “Wave Runup on Shore Structures,” Journal of the Waterways and Harbors Division, ASCE, Vol. 82, No. WW2, Apr., 1956.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111Issue 1January 1985
Pages: 128 - 133

History

Published online: Jan 1, 1985
Published in print: Jan 1985

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Authors

Affiliations

John P. Ahrens, Aff. M. ASCE
Oceanographer, U.S. Army Engr. Waterway Experiment Sta., Vicksburg, Miss.
Martin F. Titus
Computer Programmer, Automation Support Activity, Washington, D.C.

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