Breaking Waves pp 291-297 | Cite as

Violent Motion as Near Breaking Waves Meet a Vertical Wall

  • M. J. Cooker
  • D. H. Peregrine
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


Very steep unsteady water waves are modelled by an accurate numerical computer program. Recent work is discussed with particular emphasis on waves that are nearly breaking as they approach a vertical wall. Extremely violent water motion is calculated in full detail, with water accelerations exceeding 1000 g, and transient pressures exceeding 30 times the hydrostatic pressure.


Solitary Wave Vertical Wall Wave Impact Wave Face Initial Velocity Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Arami, A. & Hattori (1989) Experimental study on shock wave pressures. Internal Report Civil Engng., Chuo Univ., 37–63.Google Scholar
  2. 2.
    Chan, E.S., Melville, V.K. (1988) Deep water plunging wave impact pressures on a plane vertical wall. Proc.Roy.Soc., A 417, 95–131.ADSCrossRefGoogle Scholar
  3. 3.
    Cooker, M. & Peregrine, D.II. (1990a) Computations of violent motion due to waves breaking against a wall. Proc.22nd Internat.Conf. on Coastal Engng., Delft.Google Scholar
  4. 4.
    Cooker, M.J. & Peregrine, D.H. (1990b) A model for breaking wave impact pressures. rroe.22nd Internat.Conf. on Coastal Engng., Delft.Google Scholar
  5. 5.
    Cooker, M.J. & Peregrine, D.H. (1991) Wave impact pressures and their effect on bodies lying on the bed. MAST G6 Proj,.1 Workshop, Hannover.Google Scholar
  6. 6.
    Cooker, M. & Peregrine, D.H., Vidal, C., Dold, J.W. (1990) The interaction between a solitary wave and a submerged semi-circular cylinder. J.Fluid.Mech. 125, 1–22.MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    Dold, J.W. & Peregrine, D.H. (1986a) An efficient boundary-integral method for steep unsteady water waves. In “Numerical Methods for Fluid Dynamics II” (Eds. Dold, J.W. k Peregrine, D.II ). 671 - 679 Oxford U.P.Google Scholar
  8. 8.
    Longuet-Higgins, M.S. & Cokelet, E.D. (1976) The deformation of steep surface waves on water. I A numerical methoa of computation. Proc.Roy.Soc.Lond. A 350, 1–26.Google Scholar
  9. 9.
    New, A.L., Mclver, P. & Peregrine, D.H. (1985) Computations of overturning waves. J.Fluid Mech. 150? 233–251.Google Scholar
  10. 10.
    Passoni, G., Cooker, M.J. & Peregrine, D.H. (1990) Comparisons between theory and experiment of water-wave impact on a vertical wall. Internal Report, Mathematics, Univ. of Bristol, AM-90–19, 21 pp.Google Scholar
  11. 11.
    Tanaka, M., Dold, J.W., Lewy, M. & Peregrine, D.H. (1987) Instability and breaking of a solitary wave. J.Fluid Mech. 1£5, 235–248.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • M. J. Cooker
    • 1
  • D. H. Peregrine
  1. 1.Department of MathematicsUniversity of BristolBristolEngland

Personalised recommendations