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Radiation and scattering of water waves by rigid bodies

  • J. L. Black (a1) (a2), C. C. Mei (a1) and M. C. G. Bray (a1)


Schwinger's variational formulation is applied to the radiation of surface waves due to small oscillation of bodies. By means of Haskind's theorem the wave forces on a stationary body due to a plane incident wave are found using only far-field properties. Results for horizontal rectangular and vertical circular cylinders are presented.



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Collin, R. E. 1960 Field Theory of Guided Waves. New York: McGraw-Hill.
Black, J. L. & Mei, C. C. 1970 Tech. Report no. 121, M.I.T. Water Resources and Hydrodynamics Laboratory.
Garrett, C. J. R. 1971 J. Fluid Mech. 46, 129.
Jones, D. S. 1963 The Theory of Electromagnetism. New York: Macmillan.
Kelly, R. E. 1969 J. Fluid Mech. 36, 65.
Levine, H. 1958 Tech. Report no. 79 Appl. Math. and Stat. Lab. Stanford University.
Mei, C. C. & Black, J. L. 1969 J. Fluid Mech. 38, 499.
Miles, J. W. 1967 J. Fluid Mech. 28, 755.
Miles, J. W. 1971 J. Fluid Mech. 46, 141.
Miles, J. W. & Gilbert, F. 1968 J. Fluid Mech. 34, 783.
Newman, J. N. 1962 J. Ship Res. 6, 10.
Wehausen, J. V. & Laitone, E. V. 1960 Handbuch der Physik, vol. 9 (ed. S. Flugge). Berlin: Springer-Verlag.
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