Three-dimensional steep wave impact on a vertical cylinder

Ioannis K. Chatjigeorgiou, Alexander A. Korobkin, Mark J. Cooker

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In the present study we investigate the 3-D hydrodynamic slamming problem on a vertical cylinder due to the impact of a steep wave that is moving with a steady velocity. The linear theory of the velocity potential is employed by assuming inviscid, incompressible fluid and irrotational flow. As the problem is set in 3-D space, the employment of the Wagner condition is essential. The set of equations we pose, is presented as a mixed boundary value problem for Laplace's equation in 3-D. Apart from the mixed-type of boundary conditions, the problem is complicated by considering that the region of wetted surface of the cylinder is a set whose boundary depends on the vertical coordinate on the cylinder up to the free-surface. We make some simple assumptions at the start but otherwise we proceed analytically. We find closed-form relations for the hydrodynamic variables, namely the time dependent potential, the pressure impulse, the shape of the wave front (from the contact point to beyond the cylinder) and the slamming force.
Original languageEnglish
Pages (from-to)523-533
Number of pages11
JournalJournal of Hydrodynamics
Issue number4
Early online date31 Aug 2016
Publication statusPublished - Aug 2016


  • 3-D impact
  • violent slamming
  • impulse pressure
  • integral equations

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