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Numerical modelling of wave propagation using parabolic approximation with a boundary-fitted co-ordinate system. (English) Zbl 0691.76011
Summary: With a boundary-fitted curvilinear co-ordinate system, the parabolic approximation is applied to the mild-slope equation to describe the wave propagation. Both refraction and diffraction are included in the numerical model. Because the shoreline coincides with one of the curvilinear co-ordinates, the numerical model can be used to compute wave propagations near an irregular shoreline.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M99 Basic methods in fluid mechanics
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[1] and , ’Refraction of wave spectra’, Report INT 117, Hydraulic Research Station. Wallingford, England, 1975
[2] ’Computation of combined refraction-diffraction’, Proc. 13th Int. Conf, on Coastal Engineering, Vol. 2, 1972, pp. 471-490.
[3] Berkhoff, Coastal Eng. 6 pp 255– (1982)
[4] ’Gravity waves on water with non-uniform depth and current’, Ph. D. Thesis. Technical University of Delft, The Netherlands, 1981.
[5] and , ’Wave deformation by a shoal, effect of nonlinearity’, W301 part 6, Delft Hydraulics Laboratory, 1986.
[6] ’A parabolic refraction-diffraction equation in the ray-front coordinate system’. Proc. 20th Coastal Engineering Conference, 1986, pp. 306-317.
[7] Kirhy, J. Waterway Port Coastal Ocean Eng. Asce 114 pp 673– (1988)
[8] Kirby, J. Fluid Mech. 136 pp 453– (1983)
[9] Kirby, Coastal Eng. 8 pp 219– (1984)
[10] Kirby, J. Waterway Port Coastal And Ocean Eng. Asce 112 pp 78– (1986)
[11] and , The Boundary Integral Equation Method for Porous Media Flow, George Allen & Unwin, London, 1983.
[12] ’Parabolic wave equation in surface water waves’, Miscellaneous Report CERC 86, U. S. Army, Corps of Engineers, Coastal Engineering Research Center, Vicksburg, MS, 1986.
[13] ’Wave transformation’, in and (eds.), The Sea Vol. 9: Ocean Engineering Science, Wiley, New York, 1989.
[14] Liu, J. Waterway Port Coastal Ocean Eng. Asce 114 pp 237– (1988)
[15] Liu, J. Waterway Port Coastal Ocean Eng. Asce 111 pp 843– (1985)
[16] , and , ’Annotated bibliography on combined wave refraction and diffraction’, Misc. Paper CERC-86-10, Waterways Experiment Station, U. S. Army, 1986.
[17] Liu, J. Waterway Port Coastal Ocean Eng. Asce 112 pp 632– (1986)
[18] Lozano, J. Fluid Mech. 101 pp 705– (1980)
[19] Radder, J. Fluid Mech. 95 pp 159– (1979)
[20] Southgate, Int. J. Numer. Methods Fluids 4 pp 725– (1984)
[21] and , Numerical Grid Generation: Foundations and Applications, North-Holland, Amsterdam, 1985.
[22] Tsay, J. Geophys. Res. 87 pp 7932– (1982)
[23] and , ’A numerical model for computing wave propagation’, Miscellaneous report, CERC, to appear.
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