The axisymmetry of a body which is diffracting water waves may be exploited to give a line integral equation to be solved for the scattered wave field and forces on the body. Each term in a previously established surface integral equation is shown to be expressible as a Fourier series, which is then integrated once analytically. The resulting one-dimensional equation is shown to possess singularities, previously ignored by J. L. Black. This equation, with series transformations and subtraction of singularities such that all series are quickly convergent and that it has to be solved only along a curve, reduces computational effort by some three orders of magnitude. Results obtained by this method give good agreement with previous analytical and experimental results, even if a rather coarse numerical approximation is used.

  • Corporate Authors:

    Cambridge University Press

    32 Avenue of the Americas
    New York, NY  United States  10013-2473
  • Authors:
    • Fenton, J D
  • Publication Date: 1978-3-21

Media Info

Subject/Index Terms

Filing Info

  • Accession Number: 00178957
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Report/Paper Numbers: Pt 2
  • Files: TRIS
  • Created Date: Aug 19 1978 12:00AM