Radiation and oblique diffraction by submerged prolate spheroids in water of finite depth

Ioannis K. Chatjigeorgiou, Touvia Miloh

Research output: Contribution to journalArticlepeer-review

Abstract

In the present study we present a general methodology for estimating the hydrodynamic (added-mass and damping) coefficients of a fully submerged (below a free-surface) elongated axisymmetric ocean-going body (approximated by a prolate spheroid) in water of finite depth (rigid even sea bottom). Using the same approach, we also provide a solution for the corresponding linearized diffraction problem and analytically determine the exciting hydrodynamic forces and moments exerted on the body due to obliquely incident monochromatic surface waves. A comprehensive series of numerical simulations is presented for the relevant hydrodynamic parameters depending on the wave encounter frequency and angle of incidence, including body submergence and slenderness-ratio as well as the water depth. Numerical validations are also provided as limiting cases for spherical shapes in finite water and for spheroidal geometries in water of infinite depth.

Original languageEnglish
Pages (from-to)3-18
Number of pages16
JournalJournal of Ocean Engineering and Marine Energy
Volume1
Issue number1
DOIs
StatePublished - 1 Feb 2015

Keywords

  • Green’s function
  • Hydrodynamic coefficients
  • Multipole expansions
  • Oblique diffraction
  • Prolate spheroids
  • Spheroidal harmonics

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