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The diffraction of tides by a narrow channel

Published online by Cambridge University Press:  29 March 2006

V. T. Buchwald
Affiliation:
School of Mathematics, University of New South Wales

Abstract

A Green's function for a semi-infinite rotating ocean of uniform depth is obtained, and the resulting near and far fields are estimated asymptotically.

Given a tide of uniform height at the mouth of a narrow channel on a semiinfinite ocean, the Green's function is used to calculate the diffracted Kelvin and Poincaré waves propagating up the channel and into the ocean.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Campbell, G. A. & Foster, R. M. 1948 Fourier Integrals. Van Nostrand.
Erdelyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tobles of Integral Transforms, vol. I. Bateman Manuscript Project. McGraw Hill.
Miles, J. W. & Munk, W. H. 1961 J. Waterways and Harbors, Proc. A.S.C.E. 87, 111129.
Munk, W. H., Snodgrass, F. & Wimbush, M. 1970 Geophys. Fluid Dynamics, 1, 161235.
Packham, B. A. & Williams, W. E. 1968 J. Fluid Mech. 34, 517530.
Proudman, J. 1925 Mon. Not. Roy. Astron. Soc. (Geophys Supp.) 1, 247270.
Seshadri, S. R. 1962 I.R.E. Trans. MTT-10, 573.
Williams, W. E. 1964 Proc. I.E.E. 111, 16931695.
Voit, S. S. 1958 Isvestia AS USSR (Geophys. Series) 4, 486496.