Diffraction of Cnoidal Waves by Vertical Cylinders in Shallow Water

Masoud Hayatdavoodi, Douglas R. Neill, R. Cengiz Ertekin

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)
265 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)561-591
Number of pages31
JournalTheoretical and Computational Fluid Dynamics
Issue number5
Early online date13 Jun 2018
Publication statusPublished - Oct 2018


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

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Engineering(all)
  • Fluid Flow and Transfer Processes


Dive into the research topics of 'Diffraction of Cnoidal Waves by Vertical Cylinders in Shallow Water'. Together they form a unique fingerprint.

Cite this