Parabolic Wave Computations in Non‐Orthogonal Coordinate Systems
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114, Issue 6
Abstract
A recent development of a parabolic equation method for wave propagation in a non‐orthogonal coordinate system is reviewed. A transformation of the full governing equation prior to development of any approximation leads to a model whose results stand in closer agreement to laboratory data for a case of waves propagating into a breakwater harbor. The effect of amplitude dispersion on predicted wave height is studied and is also seen to be important for the case considered here. Reflection of obliquely incident waves by a vertical wall is also considered.
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References
1.
Berkhoff, J. C. W. (1972). “Computation of combined refraction‐diffraction.” Proc., 13th Intl. Conf. Coastal Engrg., Vancouver, Canada, 471–490.
2.
Isobe, M. (1986). “A parabolic refraction‐diffraction equation in the ray‐front coordinate system.” Proc. 20th Intl. Conf. Coastal Engrg., Taipei, 306–317.
3.
Kaku, H., and Kirby, J. T. (1988). “A parabolic equation method in polar coordinates for waves in harbors.” Tech. Rept. UFL/COEL‐TR/075, Coastal and Oceanographic Engrg. Dept., Univ. of Florida, Gainesville, Fla.
4.
Kirby, J. T. (1986). “Higher‐order approximations in the parabolic equation method for water waves.” J. Geophys. Res., 91, 933–952.
5.
Kirby, J. T., and Dalrymple, R. A. (1983). “A parabolic equation for the combined refraction‐diffraction of Stokes waves by mildly varying topography.” J. Fluid Mech. 136, 453–466.
6.
Kirby, J. T., and Dalrymple, R. A. (1984). “Verification of a paiabolic equation for propagation of weakly‐nonlinear waves.” Coastal Engrg., 8, 219–232.
7.
Liu, P. L.‐F., and Tsay, T.‐K. (1984). “Refraction‐diffraction model for weaklynonlinear water waves.” J. Fluid Mech., 141, 265–274.
8.
Liu, P. L.‐F., and Boissevain, P. (1988). “Waves propagation between two breakwaters.” J. Waterway, Port, Coastal, and Ocean Engr., 114(2), 237–347.
9.
Radder, A. C. (1979). “On the parabolic equation method for water wave propagation.” J. Fluid Mech., 72, 373–384.
10.
Tsay, T.‐K., and Liu, P. L.‐F. (1982). “Numerical solution of water wave refraction and diffraction problems in the parabolic approximation.” J. Geophys. Res. 87, 7932–7940.
11.
Yue, D. K. P. (1980). “Numerical study of Stokes' wave diffraction at grazing incidence.” Thesis presented to the Massachusetts Institute of Technology, at Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Science.
12.
Yue, D. K. P., and Mei, C. C. (1980). “Forward diffraction of Stokes waves by a thin wedge.” J. Fluid Mech. 99, 33–52.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114 • Issue 6 • November 1988
Pages: 673 - 685
Copyright
Copyright © 1988 ASCE.
History
Published online: Nov 1, 1988
Published in print: Nov 1988
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