Estimating Harmonic Parameters for Damped Co‐Oscillating Tides
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 2
Abstract
The parameters of Ippen and Harleman's harmonic analysis for the study of long periodic waves are investigated with emphasis on semidiurnal tidal co‐oscillations in one‐dimensional open channels. The data required for application of this analysis are obtained through a numerical simulation of tidal propagation phenomenon by a finite element technique. From the characteristic quantities of the method, the wave‐number, k, and the dimensionless parameter, ϕ, are examined and then related analytically to a number of physical and geometrical quantities, including the bottom friction coefficient and dimensionless combinations of the wave amplitude, length and depth of the channel, and tidal wave length. Subsequently, qualitative and quantitative information is provided for the linearized friction factor M of Telegrapher's equation, the phase shift α between tidal heights and currents, and the damping modulus μ. The results are verified by experimental and field data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Dronkers, J. J., Tidal Computations in Rivers and Coastal Waters, North‐Holland Publ. Co., Amsterdam, The Netherlands, 1964.
2.
Dronkers, J. J., “Tidal Computations for Rivers Coastal Areas and Seas,” Journal of the Hydraulics Division, ASCE, Vol. 95, No. HY1, Proc. Paper 6341, Jan., 1969, pp. 29–77.
3.
Ippen, A. T., Ed., Estuary and Coastline Hydrodynamics, Chapter 10, McGraw‐Hill Book Co., New York, N.Y., 1966.
4.
Keulegan, G. H., “Methodology—Tidal Computations for a Sea‐level Canal,” Research Report No. 2–9, WES, U.S. Army Corps of Engineers, Vicksburg, Miss., Dec., 1966.
5.
Knight, D. W., “An Experimental Investigation of Tidal Phenomena in a Rectangular Estuary,” International Symposium on Unsteady Flow in Open Channels, BHRA, IAHR, Proc. Paper B3, University of Newcastle‐Upon‐Tyne, London, England, 1976, pp. 25–40.
6.
Liggett, J. A., and Woolhiser, D. A., “Difference Solutions of the Shallow Water Equation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 93, No. EM2, Proc. Paper 5189, Apr., 1967, pp. 39–71.
7.
Mahmood, K., and Yevjevich, V., Eds., Unsteady Flow in Open Channels, Vol. I and II, Water Resource Publications, Fort Collins, Colo., 1975, pp. 133, 142, 163, 166.
8.
Parsons, W. B., “The Cape Cod Canal,” Transactions, ASCE, Vol. 82, Proc. Paper 1403, 1918, pp. 106–138.
9.
Partheniades, E. M., and Scarlatos, P. D., “Validity of Harmonic Application in Rectangular Channels Subject to Co‐oscillating Tides,” International Conference on Water Resources Engineering, Bangkok, Thailand, Jan., 1978, pp. 315–330.
10.
Proudman, J., “Oscillations of Tide and Surge in an Estuary of Finite Length,” Journal of Fluid Mechanics, Vol. 2, 1957, pp. 371–382.
11.
Scarlatos, P. D., “A Study of Tidal Disturbances in Channels of Finite Length,” thesis presented to the Aristotelean University of Thessaloniki, at Thessaloniki, Greece, in 1980, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
12.
Scarlatos, P. D., “A Pure Finite Element Method for the Saint‐Venant Equations,” Coastal Engineering, Vol. 6, No. 2, Elsevier Publishing Co., Amsterdam, The Netherlands, 1982, pp. 27–45.
13.
Scarlatos, P. D., and Singh, V. P., “Errors Due to Linearization in Tidal Propagation,” International Symposium on Flood Frequency and Risk Analyses, Louisiana State University, Baton Rouge, La., 1986.
14.
Schonfeld, J. C., “Propagation of Tides and Similar Waves,” thesis presented to Technische Hogeschool te Delft, at Delft, The Netherlands, in 1951, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Schulze, K. W., “Finite Element Analysis of Long Waves in Open Channel Systems,” Finite Element Methods in Flow Problems, J. T. Oden, O. C. Zienkiewicz, R. H. Gallagher, and C. Taylor, Eds., UAH Press, Huntsville, Ala., 1974, pp. 295–303.
16.
Silvester, R., Coastal Engineering, Vols. 1–2, Elsevier Scientific Publ., Amsterdam, The Netherlands, 1974.
17.
Taylor, C., and Davis, J., “Finite Element Numerical Modeling of Flow and Dispersion in Estuaries,” International Symposium on River Mechanics, IAHR, Proc. Paper C39, Bangkok, Thailand, 1973.
18.
Zienkiewicz, O. C., The Finite Element Method in Engineering Science, McGraw‐Hill Publ., London, England, 1971.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113 • Issue 2 • March 1987
Pages: 156 - 170
Copyright
Copyright © 1987 ASCE.
History
Published online: Mar 1, 1987
Published in print: Mar 1987
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.