TECHNICAL NOTES
Mar 1, 1986

Nonuniqueness in Stream Function Wave Theory

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 2

Abstract

The Stream Function Wave Theory has been shown to produce waves with multiple crests. This paper shows that the multiple-crested waves are not real, but an attempt by the numerical theory to represent a periodic wave train of shorter period. A procedure to restrict the solution technique to only single-crested waves is provided.

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References

1.
Chaplin, J. R., “Development of Stream‐function Wave Theory,” Coastal Engineering, Vol. 3, 1980, pp. 179–205.
2.
Dalrymple, R. A., “Water Wave Models and Wave Forces with Shear Currents,” Coastal and Ocean Engineering Laboratory, Technical Report 20, Univ. of Florida, Gainesville, FL, 1973, 163 pp.
3.
Dalrymple, R. A., “A Finite Amplitude Wave on a Linear Shear Current,” Journal of Geophysical Research, Vol. 79, 1974, pp. 4498–4504.
4.
Dean, R. G., “Stream Function Representation of Non‐linear Ocean Waves,” Journal of Geophysical Research, Vol. 70, 1965, pp. 4561–4572.
5.
Dean, R. G., “Evaluation and Development of Water Wave Theories for Engineering Application, S.R. 1,” US Army Coastal Engineering Research Center, Vol. I, Fort Belvoir, VA, 1974, 121pp.
6.
Dean, R. G., and Dalrymple, R. A., Water Wave Mechanics for Engineers and Scientists, Englewood Cliffs: Prentice‐Hall Inc., 1984, pp. 305–309.
7.
Ebbesmeyer, C. C., “Fifth Order Stokes Wave Profiles,” Journal of the Waterway, Port, Coastal, and Ocean Division, ASCE, Vol. 100, No. WW3, 1974, pp. 264–265.
8.
Huang, M.‐C., and Hudspeth, R. T., “Stream Function Solutions for Steady Water Waves,” Continental Shelf Research, Vol. 3, No. 2, 1984, pp. 175–190.
9.
Reinecker, M. M., and Fenton, J. D., “A Fourier Approximation Method for Steady Water Waves,” Journal of Fluid Mechanics, Vol. 104, 1981, pp. 119–137.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112Issue 2March 1986
Pages: 333 - 337

History

Published online: Mar 1, 1986
Published in print: Mar 1986

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Authors

Affiliations

Robert A. Dalrymple, M. ASCE
Prof., Dept. of Civ. Engrg., Univ. of Delaware, Newark, DE 19716
Pedro Solana
Asst. Prof., Central Univ. of Venezuela, Caracas, Venezuela; formerly Grad. Student, Dept. of Civ. Engrg., Univ. of Delaware, Newark, DE 19716

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