On solitary wave diffraction by multiple, in-line vertical cylinders

Douglas R. Neill, Masoud Hayatdavoodi (Lead / Corresponding author), R. Cengiz Ertekin

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)
247 Downloads (Pure)


The interaction of solitary waves with multiple, in-line vertical cylinders is investigated. The fixed cylinders are of constant circular cross section and extend from the seafloor to the free surface. In general, there are N of them lined in a row parallel to the incoming wave direction. Both the nonlinear, generalized Boussinesq and the Green–Naghdi shallow-water wave equations are used. A boundary-fitted curvilinear coordinate system is employed to facilitate the use of the finite-difference method on curved boundaries. The governing equations and boundary conditions are transformed from the physical plane onto the computational plane. These equations are then solved in time on the computational plane that contains a uniform grid and by use of the successive over-relaxation method and a second-order finite-difference method to determine the horizontal force and overturning moment on the cylinders. Resulting solitary wave forces from the nonlinear Green–Naghdi and the Boussinesq equations are presented, and the forces are compared with the experimental data when available.

Original languageEnglish
Pages (from-to)975-994
Number of pages20
JournalNonlinear Dynamics
Issue number2
Early online date16 Nov 2017
Publication statusPublished - Jan 2018


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering


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