This paper considers the interaction of a train of regular surface waves with a half spheroid which is completely submerged in water of finite depth and oriented such that its two equal axes lie on the horizontal impermeable bottom. The boundary-value problem resulting from the interaction is dealt with by introducing a Green's function. A numerical scheme is developed for solving the integral equation which arises from application of the kinematic boundary condition on the surface of the spheroid, and numerical results are obtained for all of the physical quantities of interest. For the special case of a hemisphere, these numerical results are compared with results obtained from a closed-form asymptotic solution of the problem. Also, Haskind's relations and an energy balance are used in the general case to check the accuracy of the numerical results.

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    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • Seetherama-Rao, V
    • Garrison, C J
  • Publication Date: 1976-12

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  • Accession Number: 00147532
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Files: TRIS
  • Created Date: Feb 16 1977 12:00AM