Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-29T13:37:17.947Z Has data issue: false hasContentIssue false

Waves on water of varying depth: a report on an IUTAM symposium

Published online by Cambridge University Press:  11 April 2006

L. A. Mysak
Affiliation:
Department of Mathematics and Institute of Oceanography, University of British Columbia, Vancouver, Canada
D. H. Peregrine
Affiliation:
Department of Mathematics, University of Bristol, England
D. G. Provis
Affiliation:
School of Earth Sciences, Flinders University of South Australia, Bedford Park
Ronald Smith
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

This is a review of an IUTAM symposium held in Canberra on 20–23 July 1976. The subject matter ranged widely: from surf on beaches to waves of oceanic scale, and from elegant analysis to observations from tide gauges.

Type
Research Article
Copyright
© 1977 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aida, I. 1969 Bull. Earthq. Res. Inst. 47, 673700.
Battjes, J. A. 1968 Refraction of water waves. Proc. A.S.C.E. 94 (WW4), 437–451.Google Scholar
Bernard, E. 1975 Linearized long wave, numerical model of the Hawaiian Islands, N.O.A.A. Rep. NOAA-JTRE-136.Google Scholar
Buchwald, V. T. & Adams, J. K. 1968 The propagation of continental shelf waves. Proc. Roy. Soc. A 305, 235250.Google Scholar
Caldwell, D. R. & Eide, S. A. 1976 Experiments on the resonance of long-period waves near islands. Proc. Roy. Soc. A 348, 359378.Google Scholar
Carrier, G. F. & Greenspan, H. P. 1958 Gravity waves on water of variable depth. J. Fluid Mech. 4, 97109.Google Scholar
Chang, P., Pond, S. & Tabata, S. 1976 Subsurface currents in the Strait of Georgia west of Sturgeon Bank. J. Fish. Res. Bd Can. 33, 22182241.Google Scholar
Christiansen, P. L. 1975 Diffraction of gravity waves by large islands. Proc. 14th Coastal Engng Conf., June 1974, Copenhagen, vol. 1, pp. 601–614. New York: A.S.C.E.
Gill, A. E. & Schumann, E. H. 1974 The generation of long shelf waves by the wind. J. Phys. Ocean. 4, 8390.Google Scholar
Hamon, B. V. 1966 Continental shelf waves and the effects of atmospheric pressure and wind stress on sea level. J. Geophys. Res. 71, 28832893.Google Scholar
Hamon, B. V. 1976 Generation of shelf waves on the east Australian coast. Mém. Soc. Roy. Sci., Liege, Ser. 6, 10, 359367.Google Scholar
Hughes, B. A. 1976 On the interaction of surface and internal gravity waves: uniformly valid solution by extended stationary phase. J. Fluid Mech. 74, 667683.Google Scholar
Iida, K. 1961 Magnitude, energy and generation mechanisms of tsunamis and a catalogue of earthquakes associated with tsunamis. Proc. Tsunamis Meeting, 10th Pacific Sci. Congr., IUGG Monograph, 24, 718.Google Scholar
Kanamori, H. 1972 Phys. Earth Planet. Interiors, 6, 346359.
Keller, J. B. 1962 Geometrical theory of diffraction. J. Opt. Soc. Am. 52, 116130.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Longuet-Higgins, M. S. 1975 Integral properties of periodic gravity waves of finite amplitude. Proc. Roy. Soc. A 342, 157174.Google Scholar
Longuet-Higgins, M. S. & Cokelet, E. D. 1976 The deformation of steep surface waves on water. I. A numerical method of computation. Proc. Roy. Soc. A 350, 126.Google Scholar
Meyer, R. E. & Taylor, A. D. 1972 Run-up on beaches. In Waves on Beaches and Resulting Sediment Transport (ed. R. E. Meyer), pp. 357–411. Academic.
Michell, J. H. 1898 The wave resistance of a ship. Phil. Mag. Ser. 5, 45, 106123.Google Scholar
Niiler, P. P. & Mysak, L. A. 1971 Barotropic waves along an eastern continental shelf. Geophys. Fluid Dyn. 2, 273288.Google Scholar
Packham, B. A. & Williams, W. E. 1968 Diffraction of Kelvin waves at a sharp bend. J. Fluid Mech. 34, 517529.Google Scholar
Pearcey, T. 1946 The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic. Phil. Mag. Ser. 7, 37, 311317.Google Scholar
Preisendorfer, R. W. 1975 Directly multimoded two-flow long surface waves. Rep. Hawaii Inst. Geophys., Univ. Hawaii, Honolulu, HIG-75-12.Google Scholar
Roseau, M. 1967 Diffraction by a wedge in an anisotropic medium. Arch. Rat. Mech. Anal. 26, 188218.Google Scholar
Shen, M. C., Meyer, R. E. & Keller, J. B. 1968 Spectra of water waves in channels and around islands. Phys. Fluids, 11, 22892304.Google Scholar
Smith, R. 1972 Nonlinear Kelvin and continental-shelf waves. J. Fluid Mech. 52, 379391.Google Scholar
Smith, R. 1976 Giant waves. J. Fluid Mech. 77, 417432.Google Scholar