Refraction‐Diffraction Model for Linear Water Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 6
Abstract
A numerical model is presented that predicts the transformation of monochromatic waves over complex bathymetry and includes both refractive and diffractive effects. Finite difference approximations are used to solve the governing equations, and the solution is obtained for a finite number of rectilinear grid cells that comprise the domain of interest. Model results are compared with data from two experimental tests, and the capability and utility of the model for real coastal applications are illustrated by application to an ocean inlet system.
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References
1.
Berkhoff, J. C. W., “Computation of Combined Refraction—Diffraction,” Proceedings, 13th International Conference on Coastal Engineering, ASCE, Vol. 1, 1972, pp. 471–490.
2.
Berkhoff, J. C. W., “Mathematical Models for Simple Harmonic Linear Water Waves, Wave Diffraction and Refraction,” Publication 1963, Delft Hydraulics Laboratory, Delft, The Netherlands, Apr., 1976.
3.
Berkhoff, J. C. W., Booy, N., and Radder, A. C., “Verification of Numerical Wave Propagation Models for Simple Harmonic Linear Water Waves,” Coastal Engineering, Vol. 6, 1982, pp. 255–279.
4.
Booij, N., “Gravity Waves on Water With Non‐Uniform Depth and Current,” Report No. 81‐1, Department of Civil Engineering, Delft University of Technology, Delft, The Netherlands, 1981.
5.
Candel, S. M., “Numerical Solution of Wave Scattering Problems in a Parabolic Approximation,” Journal of Fluid Mechanics, Vol. 90, Part 3, 1979, pp. 465–507.
6.
Dobson, R. S., “Some Applications of a Digital Computer to Hydraulic Engineering Problems,” Technical Report No. 80, Department of Civil Engineering, Stanford University, Stanford, Calif., June, 1967.
7.
Dunham, J. W., “Refraction and Diffraction Diagrams,” Proceedings, 1st Conference on Coastal Engineering, Council on Wave Research, Engineering Foundation, 1951.
8.
Harrison, W., and Wilson, W. S., “Development of a Method for Numerical Calculation of Wave Refraction,” Technical Memorandum No. 6, U.S. Army Corps of Engineers, CERC, Fort Belvoir, Va., 1964.
9.
Houston, J. R., “Combined Refraction and Diffraction of Short Waves Using the Finite Element Method,” Applied Ocean Research, Vol. 3, No. 4, 1981, pp. 163–170.
10.
Johnson, J. W., Obrien, M. P., and Issacs, J. D., “Graphical Construction of Refraction Diagrams,” H.O. Publication No. 605, U.S. Navy, 1948.
11.
Kirby, J. T., “Propagation of Weakly‐Nonlinear Surface Gravity Waves in Regions with Varying Depth and Current,” Technical Report No. 14, Office of Naval Research Coastal Sciences Program, July, 1983.
12.
Lozano, C., and Liu, P. L.‐F., “Refraction‐Diffraction Model for Linear Surface Water Waves,” Journal of Fluid Mechanics, Vol. 101, Part 4, 1980, pp. 705–720.
13.
Noda, E. K., et al., “Nearshore Circulations Under Sea Breeze Conditions and Wave‐Current Interactions in the Surf Zone,” Technical Report No. 4, Terra Tech, Inc., Pasadena, Calif., Feb., 1974.
14.
Pierson, W. J., Neumann, G., and James, R. W., “Observing and Forecasting Ocean Waves,” H.O. Publication No. 603, U.S. Navy, 1952.
15.
Rabe, K., “The Delaware‐Dobson Wave Refraction Model,” Computer Programming Note No. 21, Environmental Prediction Research Facility, Naval Postgradual School, Monterey, Calif., Mar., 1975.
16.
Radder, A. C., “On the Parabolic Equation Method for Water‐Wave Propagation,” Journal of Fluid Mechanics, Vol. 95, Part 1, 1979, pp. 159–176.
17.
Smith, R., and Sprinks, T., “Scattering of Surface Waves by A Conical Island,” Journal of Fluid Mechanics, Vol. 72, Part 2, 1975, pp. 373–384.
18.
Tsay, T.‐K., and Liu, P. L.‐F., “Numerical Solution of Water‐Wave Refraction and Diffraction Problems in the Parabolic Approximation,” Journal of Geophysical Research, Vol. 87, No. C10, 1982, pp. 7932–7940.
19.
Whalin, R. W., “The Limit of Applicability of Linear Wave Refraction Theory in a Convergence Zone,” Research Report H‐71‐3, U.S. Army Corps of Engineers, WES, Vicksburg, Miss., Dec., 1971.
20.
Whalin, R. W., “Wave Refraction Theory in a Convergence Zone,” Proceedings, 13th Coastal Engineering Conference, Vol. 1, 1972, pp. 451–470.
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Copyright © 1985 ASCE.
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Published online: Nov 1, 1985
Published in print: Nov 1985
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