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Diffraction of cnoidal waves by vertical cylinders in shallow water

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  • Published: 13 June 2018
  • Volume 32, pages 561–591, (2018)
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Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript
Diffraction of cnoidal waves by vertical cylinders in shallow water
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  • Masoud Hayatdavoodi  ORCID: orcid.org/0000-0003-3554-34381,
  • Douglas R. Neill2 &
  • R. Cengiz Ertekin3 

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Abstract

Diffraction of nonlinear waves by single or multiple in-line vertical cylinders in shallow water is studied by use of different nonlinear, shallow-water wave theories. The fixed, in-line, vertical circular cylinders extend from the free surface to the seafloor and are located in a row parallel to the incident wave direction. The wave–structure interaction problem is studied by use of the nonlinear generalized Boussinesq equations, the Green–Naghdi shallow-water wave equations, and the linearized version of the shallow-water wave equations. The wave-induced force and moment of the Green–Naghdi and the Boussinesq equations are presented when the incoming waves are cnoidal, and the forces are compared with the experimental data when available. Results of the linearized equations are compared with the nonlinear results. It is observed that nonlinearity is very important in the calculation of the wave loads on circular cylinders in shallow water. The variation of wave loads with wave height, wavelength and the spacing between cylinders is studied. Effect of the neighboring cylinders, and the shielding effect of upwave cylinders on the wave-induced loads on downwave cylinders are discussed.

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Authors and Affiliations

  1. Civil Engineering Department, School of Science and Engineering, University of Dundee, Dundee, DD1 4HN, UK

    Masoud Hayatdavoodi

  2. National Optical Astronomy Observatory, 950 N Cherry Ave., Tucson, AZ, 85719, USA

    Douglas R. Neill

  3. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, China

    R. Cengiz Ertekin

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  1. Masoud Hayatdavoodi
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  2. Douglas R. Neill
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  3. R. Cengiz Ertekin
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Correspondence to Masoud Hayatdavoodi.

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Hayatdavoodi, M., Neill, D.R. & Ertekin, R.C. Diffraction of cnoidal waves by vertical cylinders in shallow water. Theor. Comput. Fluid Dyn. 32, 561–591 (2018). https://doi.org/10.1007/s00162-018-0466-0

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  • Received: 03 January 2018

  • Accepted: 29 May 2018

  • Published: 13 June 2018

  • Issue Date: October 2018

  • DOI: https://doi.org/10.1007/s00162-018-0466-0

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Keywords

  • Cnoidal wave
  • Multiple in-line vertical circular cylinders
  • Wave force and moment
  • Boussinesq equations
  • Green–Naghdi equations
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