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Some classical water-wave problems in varying depth

  • Part I — Wave Propagation in Water of Variable Depth
  • Conference paper
  • First Online:
Waves on Water of Variable Depth

Part of the book series: Lecture Notes in Physics ((LNP,volume 64))

Abstract

A review and extension of some work on linearized water-waves over varying depths in a non-rotating fluid, with emphasis on the approach from the general class of finite-depth waterwave potential problems to the shallow-water limit.Matching techniques are used to treat this limit for the case of sudden changes in depth.Applications are to reflection and transmission of plane waves by sharp or smooth steps, and to ship hydrodynamics over nonuniform bottoms.

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Author information

Authors and Affiliations

  1. Applied Mathematics Department, University of Adelaide, Adelaide, S.A., Australia

    E. O. Tuck

Authors
  1. E. O. Tuck
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Editor information

D. G. Provis R. Radok

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© 1977 Springer-Verlag

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Tuck, E.O. (1977). Some classical water-wave problems in varying depth. In: Provis, D.G., Radok, R. (eds) Waves on Water of Variable Depth. Lecture Notes in Physics, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540082530_130

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  • DOI: https://doi.org/10.1007/3540082530_130

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08253-8

  • Online ISBN: 978-3-540-37349-0

  • eBook Packages: Springer Book Archive

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