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The effect of a submerged barrier on the natural freqencies and radiation damping of a shallow basin connected to open water

Published online by Cambridge University Press:  17 February 2009

E. O. Tuck
E. O. Tuck
Affiliation:
Department of Applied Mathematics, University of Adelaide, AdelaideSouth Australia 5000
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Abstract

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A theory is provided for the natural seiching frequencies and radiative decay rates for a shallow-water basin whose connection to open water is restricted by a submerged wall or reef. The transition from an essentially-open basin to a closed basin, as the aperture reduces to zero, is discussed using a matching procedure. Graphs of frequencies and damping factors as functions of aperture size are obtained for idealized two-dimensional shelf configurations, involving a constant-depth shallow basin connected to constant-depth, but not necessarily shallow, open water.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 1 , July 1980 , pp. 104 - 128
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Allison, H. and Grassia, A., “Sporadic sea-level oscillations along the Western Australian coastline”, to be published in Austral. J. Mar. Freshwater Res. 30 (1979).CrossRefGoogle Scholar
[2]Macaskill, C., “Reflexion of water waves by a permeable barrier”, J. Fluid Mech. 95 (1979), 141–157.CrossRefGoogle Scholar
[3]Miles, J. W., “Resonant response of harbors (the harbor paradox revisited)”, Proc. 8th Symp. Naval Hydro. (1970), 95–115.Google Scholar
[4]Monacella, V. J., “On ignoring the singularity in the numerical evaluation of Cauchy principal value integrals”, David Taylor Model Basin, Report 2356 (1967).Google Scholar
[5]Tuck, E. O., “Shallow-water flows past slender bodies”, J. Fluid Mech. 26 (1966), 81–95.CrossRefGoogle Scholar
[6]Tuck, E. O., “Matching problems involving flow through small holes”, Adv. in Appl. Mech. 15 (1975), 89–158.CrossRefGoogle Scholar
[7]Tuck, E. O., “Some classical water-wave problems in variable depth”, in Proc. I.U.T.A.M. Symp. Waves on water of variable depth (ed. Provis, D. G. and Radok, R.) (Springer-Verlag, Berlin, 1976), pp. 9–20.Google Scholar
[8]Tuck, E. O., Allison, H., Field, S. and Smith, J., “The effect of a submerged reefchain on periods of sea-level oscillations in Western Australia”, to be published in Austral. J. Mar. Freshwater Res. 31 (1980).CrossRefGoogle Scholar
[9]Wehausen, J. V. and Laitone, E. V., “Surface waves”, in Handbuch der Physik, Vol. 9 (ed. Flugge, S.), (Springer-Verlag, Berlin, 1960), pp. 446–778.Google Scholar