INTEGRAL-EQUATION SOLUTIONS FOR TIME-DEPENDENT FREE-SURFACE PROBLEMS

Two methods are in common use for solving the numerical problem of a body oscillating in the presence of a free surface: (1) a multipole-expansion method and (2) an integral equation method. The latter generally breaks down at and near a set of discrete frequencies, namely, the eigenfrequencies of the complementary, hypothetical problem for the flow inside the body. Ohmatsu (1975) has shown how to avoid this difficulty by modifying the interior problem. In the present paper, an even simpler procedure is presented for accomplishing the same result. A minor change is made in the Green function, in such a way that the interior problem never has an eigenfrequency near the frequency under consideration. An existing computer program based on the approach of Frank (1967) can be modified easily to incorporate the change of Green function. The modification is based on a procedure suggested by Ursell (1953).

  • Supplemental Notes:
    • Copies of papers are available from MRIS at a cost of $1.50 each plus $.10 per page.
  • Corporate Authors:

    Society of Naval Architects of Japan

    15-16, Toranomon, 1-chome, Minato-ku
    Tokyo,   Japan 
  • Authors:
    • Ogilvie, T F
    • Shin, Y S
  • Publication Date: 1978

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Filing Info

  • Accession Number: 00194545
  • Record Type: Publication
  • Source Agency: Society of Naval Architects of Japan
  • Files: TRIS
  • Created Date: Jun 13 1979 12:00AM