The Radiation and Scattering of Long Water Waves

  • M. J. Simon
  • A. Hulme
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


One of the essential steps towards a theoretical understanding of wave-energy devices is an analysis of the hydrodynamic interaction between the structures, their modes of motion and the wave field. Classically, linear potential theory has been used to study this interaction, which allows its decomposition into monochromatic radiation and diffraction problems. There are well-established numerical procedures for the solution of such problems (see Yeung, 1985), methods which, although exact in principle, can involve large lengthy computations, which may be prohibitively expensive, when the bodies comprise difficult geometries without symmetry. The methods also have the feature that they give no insight into the effect of changes in the geometry on the device’s hydrodynamic performance.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Budal, K.; Falnes, J.; Iversen, L.C.; Liuebekken, P.M.; Oltedal, G.; Hals, T.; Onshus, T.; Hoy, A.S. “The Norwegian wave-power buoy project” in Proc. 2nd Intl. Symp. Wave Energy Utilization, Trondhein (1982).Google Scholar
  2. 2.
    Hulme, A.; “The wave forces acting on a floating hemisphere undergoing forced periodic oscillations”. J. Fluid Mech., 121, 443–463 (1982).CrossRefzbMATHADSMathSciNetGoogle Scholar
  3. 3.
    Newman, J.N.; “Marine Hydrodynamics”. M.I.T. Press (1977).Google Scholar
  4. 4.
    Thorne, A.C.; “Multipole expansions in the theory of surface waves”. Proc. Camb. Phil. Soc., 49, 707–716 (1953).CrossRefzbMATHADSMathSciNetGoogle Scholar
  5. 5.
    Ursell, F.; “The periodic heaving motion of a half-immersed sphere: the analytic form of the velocity potential and the long-wave asymptotics of the virtual mass ”Dept. of Mathematics Internal Rep., Univ. Manchester (1963).Google Scholar
  6. 6.
    Yeung, R.W.; “Comparative Efficiency of Numerical Methods” (in this Symposium).Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • M. J. Simon
    • 1
  • A. Hulme
    • 1
  1. 1.Department of MathematicsUniversity of ManchesterEngland

Personalised recommendations