Hurricane Wind Waves—A Discrete Spectral Model
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 112, Issue 3
Abstract
A predictive model of hurricane wind waves is based on the radiative transfer equation and a directional frequency spectrum description of the sea state throughout the solution field. Propagation, refraction and shoaling are accommodated by ray kinematics. The physical processes contributing to wave growth, interaction, and decay are represented by state‐of‐the‐art descriptions. The numerical algorithm is a fractional step method, combining the method of characteristics for a propagation step with a local analytical solution for a forcing step. Predictions under steady, uniform wind conditions are consistent with a simpler parametric model based on the JONSWAP data. The predictive potential of the model for hurricane wind waves is confirmed by comparison with field data from Australia's North West Shelf.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Barnett, T. P., “On the Generation, Dissipation and Prediction of Ocean Wind Waves,” Journal of Geophysical Research, Vol. 73, 1968, p. 513–529.
2.
Biot, M. A., “Mechanics of Deformation and Acoustic Propagation in Porous Media,” Journal of Applied Physics, Vol. 33, 1962, pp. 1482–1498.
3.
Bode, L., and Sobey, R. J., “Accurate Modelling of Two‐Dimensional Mass Transport,” Proceedings, 18th International Conference on Coastal Engineering, ASCE, Houston, Tex., 1984, Vol. 3, pp. 2434–2448.
4.
Bode, L., and Sobey, R. J., “Hurricane Storm Surge,” in AGU Monograph Physical Processes in Coastal and Estuarine Zones, B. J. Noye, Ed., to appear.
5.
Cardone, V. J., Pierson, W. J., and Ward, E. G., “Hindcasting the Directional Spectra of Hurricane‐Generated Waves,” Journal of Petroleum Technology, AIME, Vol. 261, 1975, pp. 91–127.
6.
Ewing, J. A., “A Numerical Wave Prediction Method for the North Atlantic Ocean,” Deutsche Hydrographische Zeitschrift, Vol. 24, 1971, pp. 241–261.
7.
Forristall, G. Z., and Reece, A. M., “Measurements of Wave Attenuation due to a Soft Bottom: The Swamp Experiment,” Journal of Geophysical Research, Vol. 90, 1985, pp. 3367–3380.
8.
Gelci, R., Cazalé, J., and Vassal, J., “Utilisation des Diagrammes de Propagation à la Provision Energitique de la Houle,” Bulletin d'Information du Comitè Central d'Oceanographie et d'Etudes des Côtes, Vol. 8, 1956, pp. 169–187.
9.
Graham, H. E., and Nunn, D. E., “Meteorological Considerations Pertinent to Standard Project Hurricane, Atlantic and Guff Coasts of the United States,” NHRP Report 33, U.S. Weather Bureau, 1959.
10.
Hasselmann, K., “On the Nonlinear Energy Transfer in a Gravity Wave Spectrum, Part 1, General Theory,” Journal of Fluid Mechanics, Vol. 12, 1962, pp. 481–500.
11.
Hasselmann, K., and Collins, J. I., “Spatial Dissipation of Finite‐Depth Gravity Waves due to Turbulent Bottom Friction,” Journal of Marine Research, Vol. 26, 1968, pp. 1–12.
12.
Hasselmann, S., and Hasselmann, K., “A Symmetrical Method of Computing the Nonlinear Transfer in a Gravity Wave Spectrum,” Hamburger Geophysikalische Einzelschriften, Reihe A., Vol. 52, 1981.
13.
Hasselmann, K., et al., “A Parametric Wave Prediction Model,” Journal of Physical Oceanography, Vol. 6, 1976, pp. 200–228.
14.
Jonsson, I. G., “Friction Factor Diagrams for Oscillatory Boundary Layers,” Progress Reports, Technical University of Denmark, Vol. 10, pp. 10–21.
15.
King, D. B., and Shemdin, O. H., “Radar Observations of Hurricane Wave Directions,” Proceedings, 16th International Conference on Coastal Engineering, ASCE, Hamburg, 1978, pp. 209–226.
16.
Kitaigorodskii, S. A., Krasitskii, V. P., and Zaslavskii, M. M., “On Phillips' Theory of Equilibrium Range in the Spectra of Wind‐Generated Gravity Waves,” Journal of Physical Oceanography, Vol. 5, 1975, pp. 410–420.
17.
Phillips, O. M., The Dynamics of the Upper Ocean, 2nd edition, Cambridge University Press, 1977.
18.
Pierson, W. J., Tick, L. G., and Baer, L., “Computer‐Based Procedures for Predicting Global Wave Forecasts and Wind Field Analyses Capable of Using Wave Data Obtained by Spacecraft,” Proceedings, 6th Naval Hydrodynamics Symposium, 1966, pp. 499–529.
19.
Priestly, J. T., “Correlation Studies of Pressure Fluctuations on the Ground beneath a Turbulent Boundary Layer,” Report No. 8942, National Bureau of Standards, 1966.
20.
Snyder, R. L., et al., “Array Measurements of Atmospheric Pressure Fluctuations above Surface Gravity Waves,” Journal of Fluid Mechanics, Vol. 102, 1981, pp. 1–59.
21.
Sobey, R. J., “Numerical Alternatives in Transient Stream Response,” Journal of Hydraulic Engineering, ASCE, Vol. 110, 1984, pp. 749–773.
22.
Sobey, R. J., “Wind‐Wave Prediction,” Annual Review of Fluid Mechanics, Vol. 16, 1986, pp. 149–172.
23.
Sobey, R. J., Harper, B. A., and Stark, K. P., “Numerical Simulation of Tropical Cyclone Storm Surge,” Research Bulletin No. CS14, Department of Civil and Systems Engineering, James Cook Univ., 1977.
24.
SWAMP (Sea Wave Modeling Project) Group, “An Intercomparison Study of Wind Wave Prediction Models,” Proceedings, Symposium on Wave Dynamics and Radio Probing of Ocean Surface, Miami, Fla., 1981, Plenum Press, in press, 1986.
25.
Wu, J., “Wind Stress Coefficients over Sea Surface from Sea Breeze to Hurricane,” Journal of Geophysical Research, Vol. 87, 1982, pp. 9704–9706.
26.
Yamamoto, T., “Ocean Wave Spectrum Transformations due to Sea‐Seabed Interactions,” Proceedings, 13th Offshore Technology Conference, Houston, Tex., 1977, pp. 141–146.
27.
Young, I. R., and Sobey, R. J., “The Numerical Prediction of Tropical Cyclone Wind‐Waves,” Research Bulletin No. CS20, Department of Civil and Systems Engineering, James Cook Univ., 1981.
28.
Young, I. R., and Sobey, R. J., “Measurements of the Wind‐Wave Energy Flux in an Opposing Wind,” Journal of Fluid Mechanics, Vol. 151, 1985, pp. 427–442.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: May 1, 1986
Published in print: May 1986
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.