TECHNICAL PAPERS
Jan 1, 1986

Determination of Wave Angle in Shallow Water

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 1

Abstract

Information from a bidirectional electromagnetic current meter and surface‐piercing, continuous resistance wave staff is shown to provide good estimates of the angle of wave approach within the surf zone. Spectra of surface elevation fluctuations (η) define limits to the primary frequencies in the incident wave field, which are then used to define the wave‐driven components in the onshore (x) and alongshore (y) velocity spectra. Cross spectra between η and x and y give squared coherence values used to weight the wave contribution to the motion in any frequency band. A weighted orbital vector for each frequency band is calculated: the angles corresponding to each band are then further weighted according to the proportional contribution of the variance in the velocity in that frequency band to the total variance in the onshore and offshore velocities. Summation of the individual angle contributions gives a wave angle representative of the energy distribution in the peak of the incident wave spectrum. A test of the technique is made by comparing wind and wave angles, and wave angles calculated for adjacent instrument pairs.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bloomfield, P., Fourier Analysis of Time Series: An Introduction, John Wiley and Sons, Inc., New York, NY, 1976.
2.
Borgman, L. E., “Directional Spectra from Wave Sensors,” Ocean Wave Climates, M. D. Earle and A. Malahoff, Eds., Plenum Press, New York, NY, 1979, pp. 269–300.
3.
Bowden, K. F., and White, R. A., “Measurements of the Orbital Velocities of Sea Waves and their Use in Determining the Directional Spectrum,” Geophysical Journal of the Royal Astronomical Society, Vol. 12, 1966, pp. 33–54.
4.
Donelan, M. A., “Similiarity Theory Applied to the Forecasting of Wave Heights, Periods and Directions,” Proceedings, Canadian Coastal Conference, Associate Committee for Research on Shoreline Erosion and Sedimentation, National Research Council, Ottawa, 1980, pp. 47–61.
5.
Galvin, C. J., “Longshore Current Velocity: A Review of Theory and Data,” Review of Geophysics, Vol. 5, 1967, pp. 287–304.
6.
Greenwood, B., “Hydrodynamics and Sedimentation in Barred Nearshores: A Review of Work by the Scarborough College Coastal Research Group,” Proceedings of the Third Workshop on Great Lakes Coastal Erosion and Sedimentation, N. A. Rukavina, Ed., National Water Resource Institute, Burlington, ON, 1983, pp. 45–48.
7.
Greenwood, B., and Sherman, D. J., “Shore‐Parallel Flows in a Barred Nearshore,” Proceedings Eighteenth Coastal Engineering Conference, ASCE, Cape Town, South Africa, 1982, pp. 1677–1696.
8.
Greenwood, B., and Sherman, D. J., “Waves, Currents, Sediment Flux and Morphological Response in a Barred Nearshore System,” Hydrodynamics and Sedimentation in Wave‐Dominated Coastal Environments, B. Greenwood and R. A. Davis Jr., Eds., Elsevier Science Publishers, Amsterdam, The Netherlands, 1984, pp. 31–62.
9.
Gottman, J. M., Time Series Analysis, Cambridge University Press, Cambridge, UK, 1981.
10.
Hanna, E. G., Multiple Time Series, John Wiley and Sons Inc., New York, NY, 1970.
11.
Higgins, A. L., and Seymour, R. J., “Deepwater Direction from an Intensity Array,” Proceedings of the Sixteenth Coastal Engineering Conference, ASCE, Sydney, Australia, 1978, pp. 305–311.
12.
Jenkins, G. M., and Watts, D. G., Spectral Analysis and its Applications, Holden‐Day, San Francisco, CA, 1968.
13.
Kitaigorodskii, S. A., Donelan, M. A., Lumley, J. L., and Terray, E. A., “Wave‐Turbulence Interactions in the Upper Ocean. Part II: Statistical Characteristics of Wave and Turbulent Components of the Random Velocity Field in the Marine Surface Layer,” Journal of Physical Oceanography, Vol. 13, 1983, pp. 1988–1999.
14.
Komar, P. D., Beach Processes and Sedimentation, Prentice‐Hall, Englewood Cliffs, NJ, 1976.
15.
Longuet‐Higgins, M. S., “Longshore Currents Generated by Obliquely Incident Sea Waves, 1,” Journal of Geophysical Research, Vol. 75, 1970, pp. 6778–6789.
16.
Longuet‐Higgins, M. S., “Longshore Currents Generated by Obliquely Incident Sea Waves, 2,” Journal of Geophysical Research, Vol. 75, 1970, pp. 6790–6801.
17.
Longuet‐Higgins, M. S., Cartwright, D. E., and Smith, N. D., “Observations of the Directional Spectrum of Sea Waves Using Motions of a Floating Buoy,” Ocean Wave Spectra, Prentice Hall, Englewood Cliffs, NJ, 1961, pp. 111–136.
18.
Nagata, Y., “The Statistical Properties of Orbital Wave Motions and their Applications for the Measurement of Directional Wave Spectra,” Journal of the Oceanographic Society of Japan, Vol. 19, 1964, pp. 169–181.
19.
Panicker, N. N., “Review of Techniques for Directional Wave Spectra,” Proceedings International Symposium on Ocean Wave Measurement and Analysis, ASCE, New Orleans, LA, 1974, pp. 669–688.
20.
Pawka, S. S., Inman, D. L., Lowe, R. L., and Holmes, L. C., “Wave Climate at Torrey Pines Beach,” Technical Paper No. 76‐5, US Army Corps of Engineers, Coastal Engineering Research Center, Ft. Belvoir, VA, 1976.
21.
Shemdin, O. H., Brown, W. E., Standhammer, F. G., Shuckman, R., Rawson, R., Zelenka, J., Ross, D. B., McLeish, W., and Berkes, R. A., “Comparison of In situ and Remotely Sensed Ocean Waves Off Marineland, FL,” Journal of Boundary Layer Meteorology, Vol. 13, 1978, pp. 193–202.
22.
Sherman, D. J., “Longshore Currents: a Stress Balance Approach,” thesis presented to the Univ. of Toronto, at Toronto, Canada, in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
23.
Simpson, J. H., “Observations on the Directional Characteristics of Sea Waves,” Geophysical Journal of the Royal Astronomical Society, Vol. 17, 1969, pp. 93–120.
24.
Thornes, J. B., and Brundsden, D., Geomorphology and Time, Halsted Press, New York, NY, 1977.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112Issue 1January 1986
Pages: 129 - 139

History

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

Permissions

Request permissions for this article.

Authors

Affiliations

Douglas J. Sherman
Asst. Prof., Dept. of Geography, Univ. of Southern California, Los Angeles, CA 90089‐0663; formerly Doctoral Candidate, Dept. of Geography, Scarborough Campus, Univ. of Toronto, West Hill, ON, Canada, M1C 1A4
Brian Greenwood
Prof., Depts. of Geography and Geology, Scarborough Campus, Univ. of Toronto, West Hill, ON, Canada, M1C 1A4

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share