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Finite amplitude ocean waves

Waves with peaked crests and broad troughs

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Abstract

When amplitudes are small, ocean waves are represented by sinusoidal functions. There are, however, situations when this treatment of waves is inadequate. In such situations, finite amplitude wave theories that deal with waves having peaked crest have to be used. In this article, selected features of a variety of such wave profiles are presented.

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Suggested Reading

  1. U S Army Corps of Engineers, Coastal Engineering Manual, Part II, Chapter 1. pp.II-1.1–.121, 2008.

    Google Scholar 

  2. W Bascom, Waves and Beaches, The dynamics of the ocean surface, Doubleday, Garden City, N Y, 268 p.196.

  3. R L Wiegel, Oceanographical Engineering, Prentice Hall Inc. pp.11–132, 1964.

    Google Scholar 

  4. J M Williams, Limiting gravity waves in water of finite depth, Phil. Trans. Roy. Soc. London, Vol.A31, pp.139–188, 1981.

    Article  Google Scholar 

  5. J D Fenton, Nonlinear wave Theories, The Sea, Vol.9, Ocean Engineering Science, Eds. B Le Méhauté and D M Hanes, New York, Wiley, pp.1–17, 1990.

    Google Scholar 

  6. R J Dean and P A Eeagleson, Finite amplitude waves, Estuary and coastline hydrodynamics, Ed. A T Ippen Mc Graw-Hill book company, pp.93–32, 1966.

  7. B Kinsman, Wind Waves, their generation and propagation on ocean surface, Prentice Hall Inc, NJ, p. 675, 1965.

    Google Scholar 

  8. J D Fenton, Coastal and ocean engineering http://johndfenton.com/Lectures/Coastal-and-Ocean-Engineering/Coastal-and-Ocean.pdf

  9. J D Fenton and M M Rienecker, A Fourier method for solving nonlinear water—wave problems: application to solitary-wave interactions, J. Fluid Mech., Vol.118, pp.411–443, 1982.

    Article  Google Scholar 

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Authors and Affiliations

  1. Nediyal Thannipparamu Madhom Edappally, Kochi, 682 024, India

    K. K. Varma

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  1. K. K. Varma
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Correspondence to K. K. Varma.

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Varma, K.K. Finite amplitude ocean waves. Reson 19, 1047–1057 (2014). https://doi.org/10.1007/s12045-014-0123-x

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  • DOI: https://doi.org/10.1007/s12045-014-0123-x

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